analysis.normed_space.finite_dimension ⟷ Mathlib.Analysis.NormedSpace.FiniteDimension

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

@@ -6,7 +6,7 @@ Authors: Sébastien Gouëzel
 import Analysis.Asymptotics.AsymptoticEquivalent
 import Analysis.NormedSpace.AddTorsor
 import Analysis.NormedSpace.AffineIsometry
-import Analysis.NormedSpace.OperatorNorm
+import Analysis.NormedSpace.OperatorNorm.Basic
 import Analysis.NormedSpace.RieszLemma
 import Topology.Algebra.Module.FiniteDimension
 import Topology.Algebra.InfiniteSum.Module
@@ -397,7 +397,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C); · simp [hn]
     have : C * (ε / (2 * C)) = ε / 2 := by
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
-        mul_div_cancel' _ (ne_of_gt h_2C)]
+        mul_div_cancel₀ _ (ne_of_gt h_2C)]
     specialize hC (le_of_lt hε2C) hn
     rwa [this] at hC
   choose n hn using this

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

@@ -587,7 +587,7 @@ theorem LinearMap.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ke
     [FiniteDimensional 𝕜 E] : ClosedEmbedding ⇑f :=
   let g := LinearEquiv.ofInjective f (LinearMap.ker_eq_bot.mp hf)
   { embedding_subtype_val.comp g.toContinuousLinearEquiv.toHomeomorph.Embedding with
-    closed_range := by
+    isClosed_range := by
       haveI := f.finite_dimensional_range
       simpa [f.range_coe] using f.range.closed_of_finite_dimensional }
 #align linear_equiv.closed_embedding_of_injective LinearMap.closedEmbedding_of_injective

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

@@ -260,7 +260,7 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
   by
   cases subsingleton_or_nontrivial E
   · exact ⟨1, zero_lt_one, AntilipschitzWith.of_subsingleton⟩
-  · rw [LinearMap.ker_eq_bot] at hf 
+  · rw [LinearMap.ker_eq_bot] at hf
     let e : E ≃L[𝕜] f.range := (LinearEquiv.ofInjective f hf).toContinuousLinearEquiv
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
@@ -276,7 +276,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
   have : tendsto (fun g : ι → E => ∑ i, ‖g i - f i‖) (𝓝 f) (𝓝 <| ∑ i, ‖f i - f i‖) :=
     tendsto_finset_sum _ fun i hi =>
       tendsto.norm <| ((continuous_apply i).Tendsto _).sub tendsto_const_nhds
-  simp only [sub_self, norm_zero, Finset.sum_const_zero] at this 
+  simp only [sub_self, norm_zero, Finset.sum_const_zero] at this
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
   replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast; exact hg
   rw [LinearMap.ker_eq_bot]
@@ -388,7 +388,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       have : φ (v i) ∈ closure (range u) := hu _
       obtain ⟨n, hn⟩ : ∃ n, ‖u n - φ (v i)‖ < ε / (2 * C) :=
         by
-        rw [mem_closure_iff_nhds_basis Metric.nhds_basis_ball] at this 
+        rw [mem_closure_iff_nhds_basis Metric.nhds_basis_ball] at this
         specialize this (ε / (2 * C)) hε2C
         simpa [dist_eq_norm]
       exact ⟨n, le_of_lt hn⟩
@@ -399,10 +399,10 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
         mul_div_cancel' _ (ne_of_gt h_2C)]
     specialize hC (le_of_lt hε2C) hn
-    rwa [this] at hC 
+    rwa [this] at hC
   choose n hn using this
   set Φ := fun φ : E →L[𝕜] F => v.constrL <| u ∘ n φ
-  change ∀ z, dist z (Φ z) ≤ ε / 2 at hn 
+  change ∀ z, dist z (Φ z) ≤ ε / 2 at hn
   use n
   intro x y hxy
   calc
@@ -567,7 +567,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   by
   by_cases h : ∀ x, f x = 1; · apply Or.inl; ext x; exact h x
   apply Or.inr
-  push_neg at h 
+  push_neg at h
   obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1; exact h
   have : Function.mulSupport f ∈ 𝓝 x := h'f.is_open_mul_support.mem_nhds hx
   obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ) (hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f
@@ -716,7 +716,7 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
     ∃ y ∈ frontier s, Metric.infDist x (sᶜ) = dist x y :=
   by
   rcases Metric.exists_mem_closure_infDist_eq_dist (nonempty_compl.2 hs) x with ⟨y, hys, hyd⟩
-  rw [closure_compl] at hys 
+  rw [closure_compl] at hys
   refine'
     ⟨y,
       ⟨Metric.closedBall_infDist_compl_subset_closure hx <| Metric.mem_closedBall.2 <| ge_of_eq _,
@@ -736,14 +736,14 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
   by
   obtain hx' | hx' : x ∈ interior K ∪ frontier K := by rw [← closure_eq_interior_union_frontier];
     exact subset_closure hx
-  · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx' 
+  · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx'
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
       FiniteDimensional.of_isCompact_closedBall ℝ hr₀
         (IsCompact.of_isClosed_subset hK Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩
-    rw [frontier_eq_closure_inter_closure] at hx' 
+    rw [frontier_eq_closure_inter_closure] at hx'
     rw [Metric.infDist_zero_of_mem_closure hx'.2, dist_self]
 #align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_dist
 -/

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

@@ -308,10 +308,10 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen {f : E →L[𝕜] F | ↑n 
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 -/
 
-#print Basis.op_nnnorm_le /-
-theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
+#print Basis.opNNNorm_le /-
+theorem Basis.opNNNorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
-  u.op_nnnorm_le_bound _ fun e =>
+  u.opNNNorm_le_bound _ fun e =>
     by
     set φ := v.equiv_funL.to_continuous_linear_map
     calc
@@ -328,36 +328,36 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
           ∑ i, ‖v.equiv_fun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_right (φ.le_op_nnnorm e) _)
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
-#align basis.op_nnnorm_le Basis.op_nnnorm_le
+#align basis.op_nnnorm_le Basis.opNNNorm_le
 -/
 
-#print Basis.op_norm_le /-
-theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
+#print Basis.opNorm_le /-
+theorem Basis.opNorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
   simpa using nnreal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
-#align basis.op_norm_le Basis.op_norm_le
+#align basis.op_norm_le Basis.opNorm_le
 -/
 
-#print Basis.exists_op_nnnorm_le /-
+#print Basis.exists_opNNNorm_le /-
 /-- A weaker version of `basis.op_nnnorm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
+theorem Basis.exists_opNNNorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
   cases nonempty_fintype ι <;>
     exact
       ⟨max (Fintype.card ι • ‖v.equiv_funL.to_continuous_linear_map‖₊) 1,
         zero_lt_one.trans_le (le_max_right _ _), fun u M hu =>
         (v.op_nnnorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
-#align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
+#align basis.exists_op_nnnorm_le Basis.exists_opNNNorm_le
 -/
 
-#print Basis.exists_op_norm_le /-
+#print Basis.exists_opNorm_le /-
 /-- A weaker version of `basis.op_norm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
+theorem Basis.exists_opNorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M :=
-  let ⟨C, hC, h⟩ := v.exists_op_nnnorm_le
+  let ⟨C, hC, h⟩ := v.exists_opNNNorm_le
   ⟨C, hC, fun u => Subtype.forall'.mpr h⟩
-#align basis.exists_op_norm_le Basis.exists_op_norm_le
+#align basis.exists_op_norm_le Basis.exists_opNorm_le
 -/
 
 instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
@@ -765,7 +765,7 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
     refine'
       Summable.of_norm_bounded _ (this.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊)
         fun i => _
-    simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_op_norm (e <| f i)
+    simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_opNorm (e <| f i)
   clear! E
   -- Now we deal with `g : α → fin N → ℝ`
   intro N g hg

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

@@ -505,10 +505,10 @@ theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
 
 variable (𝕜)
 
-#print finiteDimensional_of_isCompact_closedBall₀ /-
+#print FiniteDimensional.of_isCompact_closedBall₀ /-
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
+theorem FiniteDimensional.of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E :=
   by
   by_contra hfin
@@ -541,19 +541,19 @@ theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
       apply mul_le_mul_of_nonneg_left (lef _ _ (ne_of_gt _)) (norm_nonneg _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
-#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closedBall₀
+#align finite_dimensional_of_is_compact_closed_ball₀ FiniteDimensional.of_isCompact_closedBall₀
 -/
 
-#print finiteDimensional_of_isCompact_closedBall /-
+#print FiniteDimensional.of_isCompact_closedBall /-
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
+theorem FiniteDimensional.of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
     (h : IsCompact (Metric.closedBall c r)) : FiniteDimensional 𝕜 E :=
   by
-  apply finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos
+  apply FiniteDimensional.of_isCompact_closedBall₀ 𝕜 rpos
   have : Continuous fun x => -c + x := continuous_const.add continuous_id
   simpa using h.image this
-#align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
+#align finite_dimensional_of_is_compact_closed_ball FiniteDimensional.of_isCompact_closedBall
 -/
 
 #print HasCompactMulSupport.eq_one_or_finiteDimensional /-
@@ -574,7 +574,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   exact metric.nhds_basis_closed_ball.mem_iff.1 this
   have : IsCompact (Metric.closedBall x r) :=
     IsCompact.of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
-  exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
+  exact FiniteDimensional.of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 -/
@@ -739,7 +739,7 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
   · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx' 
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
-      finiteDimensional_of_isCompact_closedBall ℝ hr₀
+      FiniteDimensional.of_isCompact_closedBall ℝ hr₀
         (IsCompact.of_isClosed_subset hK Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩

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

@@ -664,7 +664,7 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
   let e₁ : E ≃L[𝕜] Fin d → 𝕜 := ContinuousLinearEquiv.ofFinrankEq hd
   let e₂ : (E →L[𝕜] F) ≃L[𝕜] Fin d → F :=
     (e₁.arrow_congr (1 : F ≃L[𝕜] F)).trans (ContinuousLinearEquiv.piRing (Fin d))
-  rw [← Function.comp.left_id f, ← e₂.symm_comp_self]
+  rw [← Function.id_comp f, ← e₂.symm_comp_self]
   exact e₂.symm.continuous.comp_continuous_on (continuous_on_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
 -/

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

@@ -326,7 +326,7 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
         (suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
         calc
           ∑ i, ‖v.equiv_fun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
-          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _)
+          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_right (φ.le_op_nnnorm e) _)
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 -/

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

@@ -278,7 +278,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
       tendsto.norm <| ((continuous_apply i).Tendsto _).sub tendsto_const_nhds
   simp only [sub_self, norm_zero, Finset.sum_const_zero] at this 
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
-  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast ; exact hg
+  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast; exact hg
   rw [LinearMap.ker_eq_bot]
   refine' (hK.add_sub_lipschitz_with (LipschitzWith.of_dist_le_mul fun v u => _) hg).Injective
   simp only [dist_eq_norm, LinearMap.lsum_apply, Pi.sub_apply, LinearMap.sum_apply,

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

@@ -755,7 +755,7 @@ any complete normed space, while the other holds only in finite dimensional spac
 theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : α → E} : (Summable fun x => ‖f x‖) ↔ Summable f :=
   by
-  refine' ⟨summable_of_summable_norm, fun hf => _⟩
+  refine' ⟨Summable.of_norm, fun hf => _⟩
   -- First we use a finite basis to reduce the problem to the case `E = fin N → ℝ`
   suffices ∀ {N : ℕ} {g : α → Fin N → ℝ}, Summable g → Summable fun x => ‖g x‖
     by
@@ -763,7 +763,7 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
     set e := v.equiv_funL
     have : Summable fun x => ‖e (f x)‖ := this (e.summable.2 hf)
     refine'
-      summable_of_norm_bounded _ (this.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊)
+      Summable.of_norm_bounded _ (this.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊)
         fun i => _
     simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_op_norm (e <| f i)
   clear! E
@@ -771,7 +771,7 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
   intro N g hg
   have : ∀ i, Summable fun x => ‖g x i‖ := fun i => (Pi.summable.1 hg i).abs
   refine'
-    summable_of_norm_bounded _ (summable_sum fun i (hi : i ∈ Finset.univ) => this i) fun x => _
+    Summable.of_norm_bounded _ (summable_sum fun i (hi : i ∈ Finset.univ) => this i) fun x => _
   rw [norm_norm, pi_norm_le_iff_of_nonneg]
   · refine' fun i => Finset.single_le_sum (fun i hi => _) (Finset.mem_univ i)
     exact norm_nonneg (g x i)

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

@@ -3,14 +3,14 @@ Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
-import Mathbin.Analysis.Asymptotics.AsymptoticEquivalent
-import Mathbin.Analysis.NormedSpace.AddTorsor
-import Mathbin.Analysis.NormedSpace.AffineIsometry
-import Mathbin.Analysis.NormedSpace.OperatorNorm
-import Mathbin.Analysis.NormedSpace.RieszLemma
-import Mathbin.Topology.Algebra.Module.FiniteDimension
-import Mathbin.Topology.Algebra.InfiniteSum.Module
-import Mathbin.Topology.Instances.Matrix
+import Analysis.Asymptotics.AsymptoticEquivalent
+import Analysis.NormedSpace.AddTorsor
+import Analysis.NormedSpace.AffineIsometry
+import Analysis.NormedSpace.OperatorNorm
+import Analysis.NormedSpace.RieszLemma
+import Topology.Algebra.Module.FiniteDimension
+import Topology.Algebra.InfiniteSum.Module
+import Topology.Instances.Matrix
 
 #align_import analysis.normed_space.finite_dimension from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
 
@@ -573,7 +573,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ) (hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f
   exact metric.nhds_basis_closed_ball.mem_iff.1 this
   have : IsCompact (Metric.closedBall x r) :=
-    isCompact_of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
+    IsCompact.of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
   exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
@@ -740,7 +740,7 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
       finiteDimensional_of_isCompact_closedBall ℝ hr₀
-        (isCompact_of_isClosed_subset hK Metric.isClosed_ball hrK)
+        (IsCompact.of_isClosed_subset hK Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩
     rw [frontier_eq_closure_inter_closure] at hx' 

mathlib commit https://github.com/leanprover-community/mathlib/commit/442a83d738cb208d3600056c489be16900ba701d

@@ -505,10 +505,10 @@ theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
 
 variable (𝕜)
 
-#print finiteDimensional_of_isCompact_closed_ball₀ /-
+#print finiteDimensional_of_isCompact_closedBall₀ /-
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
+theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E :=
   by
   by_contra hfin
@@ -541,7 +541,7 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
       apply mul_le_mul_of_nonneg_left (lef _ _ (ne_of_gt _)) (norm_nonneg _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
-#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
+#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closedBall₀
 -/
 
 #print finiteDimensional_of_isCompact_closedBall /-
@@ -550,7 +550,7 @@ space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
     (h : IsCompact (Metric.closedBall c r)) : FiniteDimensional 𝕜 E :=
   by
-  apply finiteDimensional_of_isCompact_closed_ball₀ 𝕜 rpos
+  apply finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos
   have : Continuous fun x => -c + x := continuous_const.add continuous_id
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
@@ -581,16 +581,16 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
 
 end Riesz
 
-#print LinearEquiv.closedEmbedding_of_injective /-
+#print LinearMap.closedEmbedding_of_injective /-
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
-theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
+theorem LinearMap.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
     [FiniteDimensional 𝕜 E] : ClosedEmbedding ⇑f :=
   let g := LinearEquiv.ofInjective f (LinearMap.ker_eq_bot.mp hf)
   { embedding_subtype_val.comp g.toContinuousLinearEquiv.toHomeomorph.Embedding with
     closed_range := by
       haveI := f.finite_dimensional_range
       simpa [f.range_coe] using f.range.closed_of_finite_dimensional }
-#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
+#align linear_equiv.closed_embedding_of_injective LinearMap.closedEmbedding_of_injective
 -/
 
 #print ContinuousLinearMap.exists_right_inverse_of_surjective /-
@@ -604,7 +604,7 @@ theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensiona
 
 #print closedEmbedding_smul_left /-
 theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x : 𝕜 => x • c :=
-  LinearEquiv.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
+  LinearMap.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
 #align closed_embedding_smul_left closedEmbedding_smul_left
 -/
 

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

@@ -2,11 +2,6 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathbin.Analysis.NormedSpace.AddTorsor
@@ -17,6 +12,8 @@ import Mathbin.Topology.Algebra.Module.FiniteDimension
 import Mathbin.Topology.Algebra.InfiniteSum.Module
 import Mathbin.Topology.Instances.Matrix
 
+#align_import analysis.normed_space.finite_dimension from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
 /-!
 # Finite dimensional normed spaces over complete fields
 

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

@@ -80,17 +80,21 @@ def toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ =
 #align linear_isometry.to_linear_isometry_equiv LinearIsometry.toLinearIsometryEquiv
 -/
 
+#print LinearIsometry.coe_toLinearIsometryEquiv /-
 @[simp]
 theorem coe_toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F) :
     (li.toLinearIsometryEquiv h : E₁ → F) = li :=
   rfl
 #align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquiv
+-/
 
+#print LinearIsometry.toLinearIsometryEquiv_apply /-
 @[simp]
 theorem toLinearIsometryEquiv_apply (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F)
     (x : E₁) : (li.toLinearIsometryEquiv h) x = li x :=
   rfl
 #align linear_isometry.to_linear_isometry_equiv_apply LinearIsometry.toLinearIsometryEquiv_apply
+-/
 
 end LinearIsometry
 
@@ -114,17 +118,21 @@ def toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂) (h :
 #align affine_isometry.to_affine_isometry_equiv AffineIsometry.toAffineIsometryEquiv
 -/
 
+#print AffineIsometry.coe_toAffineIsometryEquiv /-
 @[simp]
 theorem coe_toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) : (li.toAffineIsometryEquiv h : P₁ → P₂) = li :=
   rfl
 #align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquiv
+-/
 
+#print AffineIsometry.toAffineIsometryEquiv_apply /-
 @[simp]
 theorem toAffineIsometryEquiv_apply [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) (x : P₁) : (li.toAffineIsometryEquiv h) x = li x :=
   rfl
 #align affine_isometry.to_affine_isometry_equiv_apply AffineIsometry.toAffineIsometryEquiv_apply
+-/
 
 end AffineIsometry
 
@@ -140,15 +148,17 @@ section Affine
 variable {PE PF : Type _} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace PF]
   [NormedAddTorsor F PF] [FiniteDimensional 𝕜 E]
 
-include E F
-
+#print AffineMap.continuous_of_finiteDimensional /-
 theorem AffineMap.continuous_of_finiteDimensional (f : PE →ᵃ[𝕜] PF) : Continuous f :=
   AffineMap.continuous_linear_iff.1 f.linear.continuous_of_finiteDimensional
 #align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensional
+-/
 
+#print AffineEquiv.continuous_of_finiteDimensional /-
 theorem AffineEquiv.continuous_of_finiteDimensional (f : PE ≃ᵃ[𝕜] PF) : Continuous f :=
   f.toAffineMap.continuous_of_finiteDimensional
 #align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensional
+-/
 
 #print AffineEquiv.toHomeomorphOfFiniteDimensional /-
 /-- Reinterpret an affine equivalence as a homeomorphism. -/
@@ -162,17 +172,21 @@ def AffineEquiv.toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) : PE 
 #align affine_equiv.to_homeomorph_of_finite_dimensional AffineEquiv.toHomeomorphOfFiniteDimensional
 -/
 
+#print AffineEquiv.coe_toHomeomorphOfFiniteDimensional /-
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional = f :=
   rfl
 #align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensional
+-/
 
+#print AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm /-
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional.symm = f.symm :=
   rfl
 #align affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm
+-/
 
 end Affine
 
@@ -205,11 +219,14 @@ irreducible_def lipschitzExtensionConstant (E' : Type _) [NormedAddCommGroup E']
 #align lipschitz_extension_constant lipschitzExtensionConstant
 -/
 
+#print lipschitzExtensionConstant_pos /-
 theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
     [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' := by
   rw [lipschitzExtensionConstant]; exact zero_lt_one.trans_le (le_max_right _ _)
 #align lipschitz_extension_constant_pos lipschitzExtensionConstant_pos
+-/
 
+#print LipschitzOnWith.extend_finite_dimension /-
 /-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `lipschitz_extension_constant E' * K`. -/
@@ -238,7 +255,9 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace
     have : A (f x) = g x := gs hx
     simp only [(· ∘ ·), ← this, A.symm_apply_apply]
 #align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimension
+-/
 
+#print LinearMap.exists_antilipschitzWith /-
 theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F)
     (hf : f.ker = ⊥) : ∃ K > 0, AntilipschitzWith K f :=
   by
@@ -248,7 +267,9 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
     let e : E ≃L[𝕜] f.range := (LinearEquiv.ofInjective f hf).toContinuousLinearEquiv
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
+-/
 
+#print LinearIndependent.eventually /-
 protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g :=
   by
@@ -270,12 +291,16 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
   rw [norm_smul, mul_comm]
   exact mul_le_mul_of_nonneg_left (norm_le_pi_norm (v - u) i) (norm_nonneg _)
 #align linear_independent.eventually LinearIndependent.eventually
+-/
 
+#print isOpen_setOf_linearIndependent /-
 theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
     IsOpen {f : ι → E | LinearIndependent 𝕜 f} :=
   isOpen_iff_mem_nhds.2 fun f => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
+-/
 
+#print isOpen_setOf_nat_le_rank /-
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen {f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank} :=
   by
   simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
@@ -284,7 +309,9 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen {f : E →L[𝕜] F | ↑n 
     continuous_pi fun x => (ContinuousLinearMap.apply 𝕜 F (x : E)).Continuous
   exact is_open_set_of_linear_independent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
+-/
 
+#print Basis.op_nnnorm_le /-
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
   u.op_nnnorm_le_bound _ fun e =>
@@ -305,13 +332,17 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _)
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
+-/
 
+#print Basis.op_norm_le /-
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
   simpa using nnreal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.op_norm_le
+-/
 
+#print Basis.exists_op_nnnorm_le /-
 /-- A weaker version of `basis.op_nnnorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
@@ -321,13 +352,16 @@ theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E
         zero_lt_one.trans_le (le_max_right _ _), fun u M hu =>
         (v.op_nnnorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
 #align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
+-/
 
+#print Basis.exists_op_norm_le /-
 /-- A weaker version of `basis.op_norm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M :=
   let ⟨C, hC, h⟩ := v.exists_op_nnnorm_le
   ⟨C, hC, fun u => Subtype.forall'.mpr h⟩
 #align basis.exists_op_norm_le Basis.exists_op_norm_le
+-/
 
 instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     SecondCountableTopology (E →L[𝕜] F) :=
@@ -408,14 +442,17 @@ theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDime
 #align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
 -/
 
+#print AffineSubspace.closed_of_finiteDimensional /-
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
     IsClosed (s : Set P) :=
   s.isClosed_direction_iff.mp s.direction.closed_of_finiteDimensional
 #align affine_subspace.closed_of_finite_dimensional AffineSubspace.closed_of_finiteDimensional
+-/
 
 section Riesz
 
+#print exists_norm_le_le_norm_sub_of_finset /-
 /-- In an infinite dimensional space, given a finite number of points, one may find a point
 with norm at most `R` which is at distance at least `1` of all these points. -/
 theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R : ℝ} (hR : ‖c‖ < R)
@@ -436,7 +473,9 @@ theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R :
   have hx' : ∀ y : E, y ∈ F → 1 ≤ ‖y - x‖ := by intro y hy; rw [← norm_neg]; simpa using hx y hy
   exact ⟨x, xR, fun y hy => hx' _ (Submodule.subset_span hy)⟩
 #align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finset
+-/
 
+#print exists_seq_norm_le_one_le_norm_sub' /-
 /-- In an infinite-dimensional normed space, there exists a sequence of points which are all
 bounded by `R` and at distance at least `1`. For a version not assuming `c` and `R`, see
 `exists_seq_norm_le_one_le_norm_sub`. -/
@@ -454,7 +493,9 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
   intro s hs
   exact exists_norm_le_le_norm_sub_of_finset hc hR h s
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
+-/
 
+#print exists_seq_norm_le_one_le_norm_sub /-
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
     ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
   by
@@ -463,9 +504,11 @@ theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
   rcases exists_seq_norm_le_one_le_norm_sub' hc A h with ⟨f, hf⟩
   exact ⟨‖c‖ + 1, f, hc.trans A, hf.1, hf.2⟩
 #align exists_seq_norm_le_one_le_norm_sub exists_seq_norm_le_one_le_norm_sub
+-/
 
 variable (𝕜)
 
+#print finiteDimensional_of_isCompact_closed_ball₀ /-
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
@@ -502,7 +545,9 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
+-/
 
+#print finiteDimensional_of_isCompact_closedBall /-
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
@@ -512,7 +557,9 @@ theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c :
   have : Continuous fun x => -c + x := continuous_const.add continuous_id
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
+-/
 
+#print HasCompactMulSupport.eq_one_or_finiteDimensional /-
 /-- If a function has compact multiplicative support, then either the function is trivial or the
 space if finite-dimensional. -/
 @[to_additive
@@ -533,9 +580,11 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
+-/
 
 end Riesz
 
+#print LinearEquiv.closedEmbedding_of_injective /-
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
 theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
     [FiniteDimensional 𝕜 E] : ClosedEmbedding ⇑f :=
@@ -545,17 +594,22 @@ theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.
       haveI := f.finite_dimensional_range
       simpa [f.range_coe] using f.range.closed_of_finite_dimensional }
 #align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
+-/
 
+#print ContinuousLinearMap.exists_right_inverse_of_surjective /-
 theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
     (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
     ∃ g : F →L[𝕜] E, f.comp g = ContinuousLinearMap.id 𝕜 F :=
   let ⟨g, hg⟩ := (f : E →ₗ[𝕜] F).exists_rightInverse_of_surjective hf
   ⟨g.toContinuousLinearMap, ContinuousLinearMap.ext <| LinearMap.ext_iff.1 hg⟩
 #align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
+-/
 
+#print closedEmbedding_smul_left /-
 theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x : 𝕜 => x • c :=
   LinearEquiv.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
 #align closed_embedding_smul_left closedEmbedding_smul_left
+-/
 
 #print isClosedMap_smul_left /-
 -- `smul` is a closed map in the first argument.
@@ -602,6 +656,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
 #align continuous_linear_equiv.pi_ring ContinuousLinearEquiv.piRing
 -/
 
+#print continuousOn_clm_apply /-
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
 theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} {s : Set X} : ContinuousOn f s ↔ ∀ y, ContinuousOn (fun x => f x y) s :=
@@ -615,11 +670,14 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
   rw [← Function.comp.left_id f, ← e₂.symm_comp_self]
   exact e₂.symm.continuous.comp_continuous_on (continuous_on_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
+-/
 
+#print continuous_clm_apply /-
 theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by
   simp_rw [continuous_iff_continuousOn_univ, continuousOn_clm_apply]
 #align continuous_clm_apply continuous_clm_apply
+-/
 
 end CompleteField
 
@@ -651,6 +709,7 @@ instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAdd
 #align finite_dimensional.proper_real FiniteDimensional.proper_real
 -/
 
+#print exists_mem_frontier_infDist_compl_eq_dist /-
 /-- If `E` is a finite dimensional normed real vector space, `x : E`, and `s` is a neighborhood of
 `x` that is not equal to the whole space, then there exists a point `y ∈ frontier s` at distance
 `metric.inf_dist x sᶜ` from `x`. See also
@@ -668,7 +727,9 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
       hyd⟩
   rwa [dist_comm]
 #align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_dist
+-/
 
+#print IsCompact.exists_mem_frontier_infDist_compl_eq_dist /-
 /-- If `K` is a compact set in a nontrivial real normed space and `x ∈ K`, then there exists a point
 `y` of the boundary of `K` at distance `metric.inf_dist x Kᶜ` from `x`. See also
 `exists_mem_frontier_inf_dist_compl_eq_dist`. -/
@@ -688,7 +749,9 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
     rw [frontier_eq_closure_inter_closure] at hx' 
     rw [Metric.infDist_zero_of_mem_closure hx'.2, dist_self]
 #align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_dist
+-/
 
+#print summable_norm_iff /-
 /-- In a finite dimensional vector space over `ℝ`, the series `∑ x, ‖f x‖` is unconditionally
 summable if and only if the series `∑ x, f x` is unconditionally summable. One implication holds in
 any complete normed space, while the other holds only in finite dimensional spaces. -/
@@ -717,24 +780,31 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
     exact norm_nonneg (g x i)
   · exact Finset.sum_nonneg fun _ _ => norm_nonneg _
 #align summable_norm_iff summable_norm_iff
+-/
 
+#print summable_of_isBigO' /-
 theorem summable_of_isBigO' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
   summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O' summable_of_isBigO'
+-/
 
+#print summable_of_isBigO_nat' /-
 theorem summable_of_isBigO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
   summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O_nat' summable_of_isBigO_nat'
+-/
 
+#print summable_of_isEquivalent /-
 theorem summable_of_isEquivalent {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (hg : Summable g) (h : f ~[cofinite] g) :
     Summable f :=
   hg.trans_sub (summable_of_isBigO' hg h.IsLittleO.IsBigO)
 #align summable_of_is_equivalent summable_of_isEquivalent
+-/
 
 #print summable_of_isEquivalent_nat /-
 theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
@@ -744,11 +814,13 @@ theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [Normed
 #align summable_of_is_equivalent_nat summable_of_isEquivalent_nat
 -/
 
+#print IsEquivalent.summable_iff /-
 theorem IsEquivalent.summable_iff {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (h : f ~[cofinite] g) :
     Summable f ↔ Summable g :=
   ⟨fun hf => summable_of_isEquivalent hf h.symm, fun hg => summable_of_isEquivalent hg h⟩
 #align is_equivalent.summable_iff IsEquivalent.summable_iff
+-/
 
 #print IsEquivalent.summable_iff_nat /-
 theorem IsEquivalent.summable_iff_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]

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

@@ -260,7 +260,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
       tendsto.norm <| ((continuous_apply i).Tendsto _).sub tendsto_const_nhds
   simp only [sub_self, norm_zero, Finset.sum_const_zero] at this 
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
-  replace hg : (∑ i, ‖g i - f i‖₊) < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast ; exact hg
+  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast ; exact hg
   rw [LinearMap.ker_eq_bot]
   refine' (hK.add_sub_lipschitz_with (LipschitzWith.of_dist_le_mul fun v u => _) hg).Injective
   simp only [dist_eq_norm, LinearMap.lsum_apply, Pi.sub_apply, LinearMap.sum_apply,
@@ -301,7 +301,7 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M :=
         (suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
         calc
-          (∑ i, ‖v.equiv_fun e i‖₊) ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
+          ∑ i, ‖v.equiv_fun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _)
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le

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

@@ -302,10 +302,8 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
         (suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
         calc
           (∑ i, ‖v.equiv_fun e i‖₊) ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
-          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _
-          )
+          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _)
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
-      
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
@@ -380,7 +378,6 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     dist x y ≤ dist x (Φ x) + dist (Φ x) y := dist_triangle _ _ _
     _ = dist x (Φ x) + dist y (Φ y) := by simp [Φ, hxy, dist_comm]
     _ ≤ ε := by linarith [hn x, hn y]
-    
 
 variable (𝕜 E)
 
@@ -488,7 +485,6 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     calc
       ‖c‖ * ‖f n‖ ≤ r / R * R := mul_le_mul hc.2.le (fle n) (norm_nonneg _) rRpos.le
       _ = r := by field_simp [(zero_lt_one.trans Rgt).ne']
-      
   obtain ⟨x, hx, φ, φmono, φlim⟩ :
     ∃ (x : E) (H : x ∈ Metric.closedBall (0 : E) r) (φ : ℕ → ℕ),
       StrictMono φ ∧ tendsto (g ∘ φ) at_top (𝓝 x) :=
@@ -505,7 +501,6 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
       apply mul_le_mul_of_nonneg_left (lef _ _ (ne_of_gt _)) (norm_nonneg _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
-    
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
 
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the

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

@@ -199,7 +199,7 @@ vector space `E'` can be extended to a Lipschitz map on the whole space `α`, wi
 constant `C * K` where `C` only depends on `E'`. We record a working value for this constant `C`
 as `lipschitz_extension_constant E'`. -/
 irreducible_def lipschitzExtensionConstant (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
-  [FiniteDimensional ℝ E'] : ℝ≥0 :=
+    [FiniteDimensional ℝ E'] : ℝ≥0 :=
   let A := (Basis.ofVectorSpace ℝ E').equivFun.toContinuousLinearEquiv
   max (‖A.symm.toContinuousLinearMap‖₊ * ‖A.toContinuousLinearMap‖₊) 1
 #align lipschitz_extension_constant lipschitzExtensionConstant
@@ -272,11 +272,11 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
 #align linear_independent.eventually LinearIndependent.eventually
 
 theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
-    IsOpen { f : ι → E | LinearIndependent 𝕜 f } :=
+    IsOpen {f : ι → E | LinearIndependent 𝕜 f} :=
   isOpen_iff_mem_nhds.2 fun f => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
 
-theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
+theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen {f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank} :=
   by
   simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
   refine' isOpen_biUnion fun t ht => _
@@ -528,7 +528,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   by
   by_cases h : ∀ x, f x = 1; · apply Or.inl; ext x; exact h x
   apply Or.inr
-  push_neg  at h 
+  push_neg at h 
   obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1; exact h
   have : Function.mulSupport f ∈ 𝓝 x := h'f.is_open_mul_support.mem_nhds hx
   obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ) (hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f

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

@@ -244,7 +244,7 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
   by
   cases subsingleton_or_nontrivial E
   · exact ⟨1, zero_lt_one, AntilipschitzWith.of_subsingleton⟩
-  · rw [LinearMap.ker_eq_bot] at hf
+  · rw [LinearMap.ker_eq_bot] at hf 
     let e : E ≃L[𝕜] f.range := (LinearEquiv.ofInjective f hf).toContinuousLinearEquiv
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
@@ -253,12 +253,12 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g :=
   by
   cases nonempty_fintype ι
-  simp only [Fintype.linearIndependent_iff'] at hf⊢
+  simp only [Fintype.linearIndependent_iff'] at hf ⊢
   rcases LinearMap.exists_antilipschitzWith _ hf with ⟨K, K0, hK⟩
   have : tendsto (fun g : ι → E => ∑ i, ‖g i - f i‖) (𝓝 f) (𝓝 <| ∑ i, ‖f i - f i‖) :=
     tendsto_finset_sum _ fun i hi =>
       tendsto.norm <| ((continuous_apply i).Tendsto _).sub tendsto_const_nhds
-  simp only [sub_self, norm_zero, Finset.sum_const_zero] at this
+  simp only [sub_self, norm_zero, Finset.sum_const_zero] at this 
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
   replace hg : (∑ i, ‖g i - f i‖₊) < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast ; exact hg
   rw [LinearMap.ker_eq_bot]
@@ -359,7 +359,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       have : φ (v i) ∈ closure (range u) := hu _
       obtain ⟨n, hn⟩ : ∃ n, ‖u n - φ (v i)‖ < ε / (2 * C) :=
         by
-        rw [mem_closure_iff_nhds_basis Metric.nhds_basis_ball] at this
+        rw [mem_closure_iff_nhds_basis Metric.nhds_basis_ball] at this 
         specialize this (ε / (2 * C)) hε2C
         simpa [dist_eq_norm]
       exact ⟨n, le_of_lt hn⟩
@@ -370,10 +370,10 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
         mul_div_cancel' _ (ne_of_gt h_2C)]
     specialize hC (le_of_lt hε2C) hn
-    rwa [this] at hC
+    rwa [this] at hC 
   choose n hn using this
   set Φ := fun φ : E →L[𝕜] F => v.constrL <| u ∘ n φ
-  change ∀ z, dist z (Φ z) ≤ ε / 2 at hn
+  change ∀ z, dist z (Φ z) ≤ ε / 2 at hn 
   use n
   intro x y hxy
   calc
@@ -459,7 +459,7 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
 
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
-    ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
   by
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 1 < ‖c‖ := NormedField.exists_one_lt_norm 𝕜
   have A : ‖c‖ < ‖c‖ + 1 := by linarith
@@ -476,7 +476,7 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
   by
   by_contra hfin
   obtain ⟨R, f, Rgt, fle, lef⟩ :
-    ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
     exists_seq_norm_le_one_le_norm_sub hfin
   have rRpos : 0 < r / R := div_pos rpos (zero_lt_one.trans Rgt)
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 0 < ‖c‖ ∧ ‖c‖ < r / R := NormedField.exists_norm_lt _ rRpos
@@ -490,7 +490,7 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
       _ = r := by field_simp [(zero_lt_one.trans Rgt).ne']
       
   obtain ⟨x, hx, φ, φmono, φlim⟩ :
-    ∃ (x : E)(H : x ∈ Metric.closedBall (0 : E) r)(φ : ℕ → ℕ),
+    ∃ (x : E) (H : x ∈ Metric.closedBall (0 : E) r) (φ : ℕ → ℕ),
       StrictMono φ ∧ tendsto (g ∘ φ) at_top (𝓝 x) :=
     h.tendsto_subseq A
   have B : CauchySeq (g ∘ φ) := φlim.cauchy_seq
@@ -528,10 +528,10 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
   by
   by_cases h : ∀ x, f x = 1; · apply Or.inl; ext x; exact h x
   apply Or.inr
-  push_neg  at h
+  push_neg  at h 
   obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1; exact h
   have : Function.mulSupport f ∈ 𝓝 x := h'f.is_open_mul_support.mem_nhds hx
-  obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ)(hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f
+  obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ) (hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f
   exact metric.nhds_basis_closed_ball.mem_iff.1 this
   have : IsCompact (Metric.closedBall x r) :=
     isCompact_of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
@@ -665,7 +665,7 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
     ∃ y ∈ frontier s, Metric.infDist x (sᶜ) = dist x y :=
   by
   rcases Metric.exists_mem_closure_infDist_eq_dist (nonempty_compl.2 hs) x with ⟨y, hys, hyd⟩
-  rw [closure_compl] at hys
+  rw [closure_compl] at hys 
   refine'
     ⟨y,
       ⟨Metric.closedBall_infDist_compl_subset_closure hx <| Metric.mem_closedBall.2 <| ge_of_eq _,
@@ -683,14 +683,14 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
   by
   obtain hx' | hx' : x ∈ interior K ∪ frontier K := by rw [← closure_eq_interior_union_frontier];
     exact subset_closure hx
-  · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx'
+  · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx' 
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
       finiteDimensional_of_isCompact_closedBall ℝ hr₀
         (isCompact_of_isClosed_subset hK Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩
-    rw [frontier_eq_closure_inter_closure] at hx'
+    rw [frontier_eq_closure_inter_closure] at hx' 
     rw [Metric.infDist_zero_of_mem_closure hx'.2, dist_self]
 #align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_dist
 

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

@@ -598,7 +598,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
       rw [← nsmul_eq_mul]
       apply op_norm_le_bound _ (nsmul_nonneg (norm_nonneg g) (Fintype.card ι)) fun t => _
       simp_rw [LinearMap.coe_comp, LinearEquiv.coe_toLinearMap, Function.comp_apply,
-        LinearMap.coe_to_continuous_linear_map', LinearEquiv.piRing_symm_apply]
+        LinearMap.coe_toContinuousLinearMap', LinearEquiv.piRing_symm_apply]
       apply le_trans (norm_sum_le _ _)
       rw [smul_mul_assoc]
       refine' Finset.sum_le_card_nsmul _ _ _ fun i hi => _

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

@@ -57,7 +57,7 @@ noncomputable section
 
 open Set FiniteDimensional TopologicalSpace Filter Asymptotics
 
-open Classical BigOperators Filter Topology Asymptotics NNReal
+open scoped Classical BigOperators Filter Topology Asymptotics NNReal
 
 namespace LinearIsometry
 

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

@@ -80,18 +80,12 @@ def toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ =
 #align linear_isometry.to_linear_isometry_equiv LinearIsometry.toLinearIsometryEquiv
 -/
 
-/- warning: linear_isometry.coe_to_linear_isometry_equiv -> LinearIsometry.coe_toLinearIsometryEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F) :
     (li.toLinearIsometryEquiv h : E₁ → F) = li :=
   rfl
 #align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquiv
 
-/- warning: linear_isometry.to_linear_isometry_equiv_apply -> LinearIsometry.toLinearIsometryEquiv_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_isometry.to_linear_isometry_equiv_apply LinearIsometry.toLinearIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toLinearIsometryEquiv_apply (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F)
     (x : E₁) : (li.toLinearIsometryEquiv h) x = li x :=
@@ -120,18 +114,12 @@ def toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂) (h :
 #align affine_isometry.to_affine_isometry_equiv AffineIsometry.toAffineIsometryEquiv
 -/
 
-/- warning: affine_isometry.coe_to_affine_isometry_equiv -> AffineIsometry.coe_toAffineIsometryEquiv is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) : (li.toAffineIsometryEquiv h : P₁ → P₂) = li :=
   rfl
 #align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquiv
 
-/- warning: affine_isometry.to_affine_isometry_equiv_apply -> AffineIsometry.toAffineIsometryEquiv_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_isometry.to_affine_isometry_equiv_apply AffineIsometry.toAffineIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toAffineIsometryEquiv_apply [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) (x : P₁) : (li.toAffineIsometryEquiv h) x = li x :=
@@ -154,16 +142,10 @@ variable {PE PF : Type _} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace P
 
 include E F
 
-/- warning: affine_map.continuous_of_finite_dimensional -> AffineMap.continuous_of_finiteDimensional is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineMap.continuous_of_finiteDimensional (f : PE →ᵃ[𝕜] PF) : Continuous f :=
   AffineMap.continuous_linear_iff.1 f.linear.continuous_of_finiteDimensional
 #align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensional
 
-/- warning: affine_equiv.continuous_of_finite_dimensional -> AffineEquiv.continuous_of_finiteDimensional is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineEquiv.continuous_of_finiteDimensional (f : PE ≃ᵃ[𝕜] PF) : Continuous f :=
   f.toAffineMap.continuous_of_finiteDimensional
 #align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensional
@@ -180,18 +162,12 @@ def AffineEquiv.toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) : PE 
 #align affine_equiv.to_homeomorph_of_finite_dimensional AffineEquiv.toHomeomorphOfFiniteDimensional
 -/
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensionalₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional = f :=
   rfl
 #align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensional
 
-/- warning: affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm -> AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symmₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional.symm = f.symm :=
@@ -229,23 +205,11 @@ irreducible_def lipschitzExtensionConstant (E' : Type _) [NormedAddCommGroup E']
 #align lipschitz_extension_constant lipschitzExtensionConstant
 -/
 
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-Case conversion may be inaccurate. Consider using '#align lipschitz_extension_constant_pos lipschitzExtensionConstant_posₓ'. -/
 theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
     [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' := by
   rw [lipschitzExtensionConstant]; exact zero_lt_one.trans_le (le_max_right _ _)
 #align lipschitz_extension_constant_pos lipschitzExtensionConstant_pos
 
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-Case conversion may be inaccurate. Consider using '#align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimensionₓ'. -/
 /-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `lipschitz_extension_constant E' * K`. -/
@@ -275,9 +239,6 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace
     simp only [(· ∘ ·), ← this, A.symm_apply_apply]
 #align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimension
 
-/- warning: linear_map.exists_antilipschitz_with -> LinearMap.exists_antilipschitzWith is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWithₓ'. -/
 theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F)
     (hf : f.ker = ⊥) : ∃ K > 0, AntilipschitzWith K f :=
   by
@@ -288,12 +249,6 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
 
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-Case conversion may be inaccurate. Consider using '#align linear_independent.eventually LinearIndependent.eventuallyₓ'. -/
 protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g :=
   by
@@ -316,20 +271,11 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
   exact mul_le_mul_of_nonneg_left (norm_le_pi_norm (v - u) i) (norm_nonneg _)
 #align linear_independent.eventually LinearIndependent.eventually
 
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-Case conversion may be inaccurate. Consider using '#align is_open_set_of_linear_independent isOpen_setOf_linearIndependentₓ'. -/
 theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
     IsOpen { f : ι → E | LinearIndependent 𝕜 f } :=
   isOpen_iff_mem_nhds.2 fun f => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
 
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-<too large>
-Case conversion may be inaccurate. Consider using '#align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rankₓ'. -/
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
   simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
@@ -339,9 +285,6 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n
   exact is_open_set_of_linear_independent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
-/- warning: basis.op_nnnorm_le -> Basis.op_nnnorm_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.op_nnnorm_le Basis.op_nnnorm_leₓ'. -/
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
   u.op_nnnorm_le_bound _ fun e =>
@@ -365,18 +308,12 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
-/- warning: basis.op_norm_le -> Basis.op_norm_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.op_norm_le Basis.op_norm_leₓ'. -/
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
   simpa using nnreal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.op_norm_le
 
-/- warning: basis.exists_op_nnnorm_le -> Basis.exists_op_nnnorm_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_leₓ'. -/
 /-- A weaker version of `basis.op_nnnorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
@@ -387,9 +324,6 @@ theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E
         (v.op_nnnorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
 #align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
 
-/- warning: basis.exists_op_norm_le -> Basis.exists_op_norm_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align basis.exists_op_norm_le Basis.exists_op_norm_leₓ'. -/
 /-- A weaker version of `basis.op_norm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M :=
@@ -477,9 +411,6 @@ theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDime
 #align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
 -/
 
-/- warning: affine_subspace.closed_of_finite_dimensional -> AffineSubspace.closed_of_finiteDimensional is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align affine_subspace.closed_of_finite_dimensional AffineSubspace.closed_of_finiteDimensionalₓ'. -/
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
     IsClosed (s : Set P) :=
@@ -488,12 +419,6 @@ theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
 
 section Riesz
 
-/- warning: exists_norm_le_le_norm_sub_of_finset -> exists_norm_le_le_norm_sub_of_finset is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : 𝕜}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c)) -> (forall {R : Real}, (LT.lt.{0} Real Real.hasLt (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c) R) -> (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (forall (s : Finset.{u2} E), Exists.{succ u2} E (fun (x : E) => And (LE.le.{0} Real Real.hasLe (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) R) (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) y x)))))))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finsetₓ'. -/
 /-- In an infinite dimensional space, given a finite number of points, one may find a point
 with norm at most `R` which is at distance at least `1` of all these points. -/
 theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R : ℝ} (hR : ‖c‖ < R)
@@ -515,12 +440,6 @@ theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R :
   exact ⟨x, xR, fun y hy => hx' _ (Submodule.subset_span hy)⟩
 #align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finset
 
-/- warning: exists_seq_norm_le_one_le_norm_sub' -> exists_seq_norm_le_one_le_norm_sub' is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'ₓ'. -/
 /-- In an infinite-dimensional normed space, there exists a sequence of points which are all
 bounded by `R` and at distance at least `1`. For a version not assuming `c` and `R`, see
 `exists_seq_norm_le_one_le_norm_sub`. -/
@@ -539,12 +458,6 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
   exact exists_norm_le_le_norm_sub_of_finset hc hR h s
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
 
-/- warning: exists_seq_norm_le_one_le_norm_sub -> exists_seq_norm_le_one_le_norm_sub is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align exists_seq_norm_le_one_le_norm_sub exists_seq_norm_le_one_le_norm_subₓ'. -/
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
     ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
   by
@@ -556,12 +469,6 @@ theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
 
 variable (𝕜)
 
-/- warning: finite_dimensional_of_is_compact_closed_ball₀ -> finiteDimensional_of_isCompact_closed_ball₀ is a dubious translation:
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-  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))) r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))
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-  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))) r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))
-Case conversion may be inaccurate. Consider using '#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀ₓ'. -/
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
@@ -601,12 +508,6 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
 
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-Case conversion may be inaccurate. Consider using '#align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBallₓ'. -/
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
@@ -617,12 +518,6 @@ theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c :
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
 
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-Case conversion may be inaccurate. Consider using '#align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensionalₓ'. -/
 /-- If a function has compact multiplicative support, then either the function is trivial or the
 space if finite-dimensional. -/
 @[to_additive
@@ -646,9 +541,6 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
 
 end Riesz
 
-/- warning: linear_equiv.closed_embedding_of_injective -> LinearEquiv.closedEmbedding_of_injective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injectiveₓ'. -/
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
 theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
     [FiniteDimensional 𝕜 E] : ClosedEmbedding ⇑f :=
@@ -659,9 +551,6 @@ theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.
       simpa [f.range_coe] using f.range.closed_of_finite_dimensional }
 #align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
 
-/- warning: continuous_linear_map.exists_right_inverse_of_surjective -> ContinuousLinearMap.exists_right_inverse_of_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjectiveₓ'. -/
 theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
     (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
     ∃ g : F →L[𝕜] E, f.comp g = ContinuousLinearMap.id 𝕜 F :=
@@ -669,12 +558,6 @@ theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensiona
   ⟨g.toContinuousLinearMap, ContinuousLinearMap.ext <| LinearMap.ext_iff.1 hg⟩
 #align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
 
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-Case conversion may be inaccurate. Consider using '#align closed_embedding_smul_left closedEmbedding_smul_leftₓ'. -/
 theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x : 𝕜 => x • c :=
   LinearEquiv.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
 #align closed_embedding_smul_left closedEmbedding_smul_left
@@ -724,9 +607,6 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
 #align continuous_linear_equiv.pi_ring ContinuousLinearEquiv.piRing
 -/
 
-/- warning: continuous_on_clm_apply -> continuousOn_clm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_on_clm_apply continuousOn_clm_applyₓ'. -/
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
 theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} {s : Set X} : ContinuousOn f s ↔ ∀ y, ContinuousOn (fun x => f x y) s :=
@@ -741,9 +621,6 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
   exact e₂.symm.continuous.comp_continuous_on (continuous_on_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
 
-/- warning: continuous_clm_apply -> continuous_clm_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_clm_apply continuous_clm_applyₓ'. -/
 theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by
   simp_rw [continuous_iff_continuousOn_univ, continuousOn_clm_apply]
@@ -779,12 +656,6 @@ instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAdd
 #align finite_dimensional.proper_real FiniteDimensional.proper_real
 -/
 
-/- warning: exists_mem_frontier_inf_dist_compl_eq_dist -> exists_mem_frontier_infDist_compl_eq_dist is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_distₓ'. -/
 /-- If `E` is a finite dimensional normed real vector space, `x : E`, and `s` is a neighborhood of
 `x` that is not equal to the whole space, then there exists a point `y ∈ frontier s` at distance
 `metric.inf_dist x sᶜ` from `x`. See also
@@ -803,12 +674,6 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
   rwa [dist_comm]
 #align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_dist
 
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-Case conversion may be inaccurate. Consider using '#align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_distₓ'. -/
 /-- If `K` is a compact set in a nontrivial real normed space and `x ∈ K`, then there exists a point
 `y` of the boundary of `K` at distance `metric.inf_dist x Kᶜ` from `x`. See also
 `exists_mem_frontier_inf_dist_compl_eq_dist`. -/
@@ -829,12 +694,6 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
     rw [Metric.infDist_zero_of_mem_closure hx'.2, dist_self]
 #align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_dist
 
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-Case conversion may be inaccurate. Consider using '#align summable_norm_iff summable_norm_iffₓ'. -/
 /-- In a finite dimensional vector space over `ℝ`, the series `∑ x, ‖f x‖` is unconditionally
 summable if and only if the series `∑ x, f x` is unconditionally summable. One implication holds in
 any complete normed space, while the other holds only in finite dimensional spaces. -/
@@ -864,36 +723,18 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
   · exact Finset.sum_nonneg fun _ _ => norm_nonneg _
 #align summable_norm_iff summable_norm_iff
 
-/- warning: summable_of_is_O' -> summable_of_isBigO' is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u3} Real F Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3) (NormedSpace.toModule.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_4)] {f : ι -> E} {g : ι -> F}, (Summable.{u3, u1} F ι (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) g) -> (Asymptotics.IsBigO.{u1, u2, u3} ι E F (NormedAddCommGroup.toHasNorm.{u2} E _inst_1) (NormedAddCommGroup.toHasNorm.{u3} F _inst_3) (Filter.cofinite.{u1} ι) f g) -> (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
-but is expected to have type
-  forall {ι : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u1} F] [_inst_4 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u1} Real F Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3) _inst_4)] {f : ι -> E} {g : ι -> F}, (Summable.{u1, u3} F ι (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3)) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)))) g) -> (Asymptotics.IsBigO.{u3, u2, u1} ι E F (NormedAddCommGroup.toNorm.{u2} E _inst_1) (NormedAddCommGroup.toNorm.{u1} F _inst_3) (Filter.cofinite.{u3} ι) f g) -> (Summable.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
-Case conversion may be inaccurate. Consider using '#align summable_of_is_O' summable_of_isBigO'ₓ'. -/
 theorem summable_of_isBigO' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
   summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O' summable_of_isBigO'
 
-/- warning: summable_of_is_O_nat' -> summable_of_isBigO_nat' is a dubious translation:
-lean 3 declaration is
-  forall {E : Type.{u1}} {F : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : CompleteSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u2} F] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u2} Real F Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_3) (NormedSpace.toModule.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3) _inst_4)] {f : Nat -> E} {g : Nat -> F}, (Summable.{u2, 0} F Nat (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_3)) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3)))) g) -> (Asymptotics.IsBigO.{0, u1, u2} Nat E F (NormedAddCommGroup.toHasNorm.{u1} E _inst_1) (NormedAddCommGroup.toHasNorm.{u2} F _inst_3) (Filter.atTop.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) f g) -> (Summable.{u1, 0} E Nat (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f)
-but is expected to have type
-  forall {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u1} F] [_inst_4 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u1} Real F Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3) _inst_4)] {f : Nat -> E} {g : Nat -> F}, (Summable.{u1, 0} F Nat (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3)) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)))) g) -> (Asymptotics.IsBigO.{0, u2, u1} Nat E F (NormedAddCommGroup.toNorm.{u2} E _inst_1) (NormedAddCommGroup.toNorm.{u1} F _inst_3) (Filter.atTop.{0} Nat (PartialOrder.toPreorder.{0} Nat (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring))) f g) -> (Summable.{u2, 0} E Nat (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
-Case conversion may be inaccurate. Consider using '#align summable_of_is_O_nat' summable_of_isBigO_nat'ₓ'. -/
 theorem summable_of_isBigO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
   summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O_nat' summable_of_isBigO_nat'
 
-/- warning: summable_of_is_equivalent -> summable_of_isEquivalent is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u2} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) g) -> (Asymptotics.IsEquivalent.{u1, u2} ι E _inst_1 (Filter.cofinite.{u1} ι) f g) -> (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
-but is expected to have type
-  forall {ι : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) g) -> (Asymptotics.IsEquivalent.{u2, u1} ι E _inst_1 (Filter.cofinite.{u2} ι) f g) -> (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f)
-Case conversion may be inaccurate. Consider using '#align summable_of_is_equivalent summable_of_isEquivalentₓ'. -/
 theorem summable_of_isEquivalent {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (hg : Summable g) (h : f ~[cofinite] g) :
     Summable f :=
@@ -908,12 +749,6 @@ theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [Normed
 #align summable_of_is_equivalent_nat summable_of_isEquivalent_nat
 -/
 
-/- warning: is_equivalent.summable_iff -> IsEquivalent.summable_iff is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u2} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Asymptotics.IsEquivalent.{u1, u2} ι E _inst_1 (Filter.cofinite.{u1} ι) f g) -> (Iff (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f) (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) g))
-but is expected to have type
-  forall {ι : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Asymptotics.IsEquivalent.{u2, u1} ι E _inst_1 (Filter.cofinite.{u2} ι) f g) -> (Iff (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f) (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) g))
-Case conversion may be inaccurate. Consider using '#align is_equivalent.summable_iff IsEquivalent.summable_iffₓ'. -/
 theorem IsEquivalent.summable_iff {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (h : f ~[cofinite] g) :
     Summable f ↔ Summable g :=

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

@@ -236,10 +236,8 @@ but is expected to have type
   forall (E' : Type.{u1}) [_inst_12 : NormedAddCommGroup.{u1} E'] [_inst_13 : NormedSpace.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12)] [_inst_14 : FiniteDimensional.{0, u1} Real E' Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_12) (NormedSpace.toModule.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12) _inst_13)], LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) (lipschitzExtensionConstant.{u1} E' _inst_12 _inst_13 _inst_14)
 Case conversion may be inaccurate. Consider using '#align lipschitz_extension_constant_pos lipschitzExtensionConstant_posₓ'. -/
 theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
-    [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' :=
-  by
-  rw [lipschitzExtensionConstant]
-  exact zero_lt_one.trans_le (le_max_right _ _)
+    [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' := by
+  rw [lipschitzExtensionConstant]; exact zero_lt_one.trans_le (le_max_right _ _)
 #align lipschitz_extension_constant_pos lipschitzExtensionConstant_pos
 
 /- warning: lipschitz_on_with.extend_finite_dimension -> LipschitzOnWith.extend_finite_dimension is a dubious translation:
@@ -307,10 +305,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
       tendsto.norm <| ((continuous_apply i).Tendsto _).sub tendsto_const_nhds
   simp only [sub_self, norm_zero, Finset.sum_const_zero] at this
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
-  replace hg : (∑ i, ‖g i - f i‖₊) < K⁻¹
-  · rw [← NNReal.coe_lt_coe]
-    push_cast
-    exact hg
+  replace hg : (∑ i, ‖g i - f i‖₊) < K⁻¹; · rw [← NNReal.coe_lt_coe]; push_cast ; exact hg
   rw [LinearMap.ker_eq_bot]
   refine' (hK.add_sub_lipschitz_with (LipschitzWith.of_dist_le_mul fun v u => _) hg).Injective
   simp only [dist_eq_norm, LinearMap.lsum_apply, Pi.sub_apply, LinearMap.sum_apply,
@@ -436,8 +431,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       exact ⟨n, le_of_lt hn⟩
     choose n hn using this
     use n
-    replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C)
-    · simp [hn]
+    replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C); · simp [hn]
     have : C * (ε / (2 * C)) = ε / 2 := by
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
         mul_div_cancel' _ (ne_of_gt h_2C)]
@@ -512,17 +506,12 @@ theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R :
   have Fclosed : IsClosed (F : Set E) := Submodule.closed_of_finiteDimensional _
   have : ∃ x, x ∉ F := by
     contrapose! h
-    have : (⊤ : Submodule 𝕜 E) = F := by
-      ext x
-      simp [h]
+    have : (⊤ : Submodule 𝕜 E) = F := by ext x; simp [h]
     have : FiniteDimensional 𝕜 (⊤ : Submodule 𝕜 E) := by rwa [this]
     refine' Module.finite_def.2 ((Submodule.fg_top _).1 (Module.finite_def.1 this))
   obtain ⟨x, xR, hx⟩ : ∃ x : E, ‖x‖ ≤ R ∧ ∀ y : E, y ∈ F → 1 ≤ ‖x - y‖ :=
     riesz_lemma_of_norm_lt hc hR Fclosed this
-  have hx' : ∀ y : E, y ∈ F → 1 ≤ ‖y - x‖ := by
-    intro y hy
-    rw [← norm_neg]
-    simpa using hx y hy
+  have hx' : ∀ y : E, y ∈ F → 1 ≤ ‖y - x‖ := by intro y hy; rw [← norm_neg]; simpa using hx y hy
   exact ⟨x, xR, fun y hy => hx' _ (Submodule.subset_span hy)⟩
 #align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finset
 
@@ -640,15 +629,12 @@ space if finite-dimensional. -/
       "If a function has compact support, then either the function is trivial or the\nspace if finite-dimensional."]
 theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [TopologicalSpace X] [One X]
     [T2Space X] {f : E → X} (hf : HasCompactMulSupport f) (h'f : Continuous f) :
-    f = 1 ∨ FiniteDimensional 𝕜 E := by
-  by_cases h : ∀ x, f x = 1
-  · apply Or.inl
-    ext x
-    exact h x
+    f = 1 ∨ FiniteDimensional 𝕜 E :=
+  by
+  by_cases h : ∀ x, f x = 1; · apply Or.inl; ext x; exact h x
   apply Or.inr
   push_neg  at h
-  obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1
-  exact h
+  obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1; exact h
   have : Function.mulSupport f ∈ 𝓝 x := h'f.is_open_mul_support.mem_nhds hx
   obtain ⟨r, rpos, hr⟩ : ∃ (r : ℝ)(hi : 0 < r), Metric.closedBall x r ⊆ Function.mulSupport f
   exact metric.nhds_basis_closed_ball.mem_iff.1 this
@@ -698,8 +684,7 @@ theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x
 theorem isClosedMap_smul_left (c : E) : IsClosedMap fun x : 𝕜 => x • c :=
   by
   by_cases hc : c = 0
-  · simp_rw [hc, smul_zero]
-    exact isClosedMap_const
+  · simp_rw [hc, smul_zero]; exact isClosedMap_const
   · exact (closedEmbedding_smul_left hc).IsClosedMap
 #align is_closed_map_smul_left isClosedMap_smul_left
 -/
@@ -831,9 +816,7 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
     [NormedSpace ℝ E] [Nontrivial E] {x : E} {K : Set E} (hK : IsCompact K) (hx : x ∈ K) :
     ∃ y ∈ frontier K, Metric.infDist x (Kᶜ) = dist x y :=
   by
-  obtain hx' | hx' : x ∈ interior K ∪ frontier K :=
-    by
-    rw [← closure_eq_interior_union_frontier]
+  obtain hx' | hx' : x ∈ interior K ∪ frontier K := by rw [← closure_eq_interior_union_frontier];
     exact subset_closure hx
   · rw [mem_interior_iff_mem_nhds, metric.nhds_basis_closed_ball.mem_iff] at hx'
     rcases hx' with ⟨r, hr₀, hrK⟩

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

@@ -81,10 +81,7 @@ def toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ =
 -/
 
 /- warning: linear_isometry.coe_to_linear_isometry_equiv -> LinearIsometry.coe_toLinearIsometryEquiv is a dubious translation:
-lean 3 declaration is
-  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ 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(Field.toSemifield.{u3} R₁ _inst_5))))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) 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(Field.toSemifield.{u3} R₁ _inst_5))))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7))))) (LinearIsometry.toLinearIsometryEquiv.{u1, u2, u3} F E₁ _inst_2 _inst_3 R₁ _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 li h)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ 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(UniformSpace.toTopologicalSpace.{u2} E₁ (PseudoMetricSpace.toUniformSpace.{u2} E₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_2))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u3, u3, u2, u1} (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ 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+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F) :
@@ -93,10 +90,7 @@ theorem coe_toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R
 #align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquiv
 
 /- warning: linear_isometry.to_linear_isometry_equiv_apply -> LinearIsometry.toLinearIsometryEquiv_apply is a dubious translation:
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(Field.toDivisionRing.{u3} R₁ _inst_5))) (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) => E₁ -> F) (LinearIsometry.hasCoeToFun.{u3, u3, u2, u1} R₁ R₁ E₁ F (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) li x)
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-  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R₁ E₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6) (FiniteDimensional.finrank.{u3, u1} R₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7)) (x : E₁), Eq.{succ u1} ((fun 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(Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ (UniformSpace.toTopologicalSpace.{u2} E₁ (PseudoMetricSpace.toUniformSpace.{u2} E₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3))) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2)) _inst_6 _inst_7 (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u1 u2} R₁ R₁ E₁ F (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7 (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} R₁ R₁ E₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7)))) li x)
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_isometry.to_linear_isometry_equiv_apply LinearIsometry.toLinearIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toLinearIsometryEquiv_apply (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F)
@@ -127,10 +121,7 @@ def toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂) (h :
 -/
 
 /- warning: affine_isometry.coe_to_affine_isometry_equiv -> AffineIsometry.coe_toAffineIsometryEquiv is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
@@ -139,10 +130,7 @@ theorem coe_toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P
 #align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquiv
 
 /- warning: affine_isometry.to_affine_isometry_equiv_apply -> AffineIsometry.toAffineIsometryEquiv_apply is a dubious translation:
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-  forall {𝕜 : Type.{u1}} {V₁ : Type.{u2}} {V₂ : Type.{u3}} {P₁ : Type.{u4}} {P₂ : Type.{u5}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} V₁] [_inst_3 : SeminormedAddCommGroup.{u3} V₂] [_inst_4 : NormedSpace.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 V₂ _inst_1 _inst_3] [_inst_6 : MetricSpace.{u4} P₁] [_inst_7 : PseudoMetricSpace.{u5} P₂] [_inst_8 : NormedAddTorsor.{u2, u4} V₁ P₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6)] [_inst_9 : NormedAddTorsor.{u3, u5} V₂ P₂ _inst_3 _inst_7] [_inst_10 : FiniteDimensional.{u1, u2} 𝕜 V₁ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)] [_inst_11 : FiniteDimensional.{u1, u3} 𝕜 V₂ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5)] [_inst_12 : Inhabited.{succ u4} P₁] (li : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} 𝕜 V₁ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)) (FiniteDimensional.finrank.{u1, u3} 𝕜 V₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5))) (x : P₁), Eq.{succ u5} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometryEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (AffineIsometry.toAffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 li h) x) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometry.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) li x)
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+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_isometry.to_affine_isometry_equiv_apply AffineIsometry.toAffineIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toAffineIsometryEquiv_apply [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
@@ -167,20 +155,14 @@ variable {PE PF : Type _} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace P
 include E F
 
 /- warning: affine_map.continuous_of_finite_dimensional -> AffineMap.continuous_of_finiteDimensional is a dubious translation:
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-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineMap.{u1, u2, u4, u3, u5} 𝕜 E PE F PF (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 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_inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
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-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineMap.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Continuous.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (FunLike.coe.{max (max (max (succ u4) (succ u2)) (succ u5)) (succ u1), succ u2, succ u1} (AffineMap.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineMap.continuous_of_finiteDimensional (f : PE →ᵃ[𝕜] PF) : Continuous f :=
   AffineMap.continuous_linear_iff.1 f.linear.continuous_of_finiteDimensional
 #align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensional
 
 /- warning: affine_equiv.continuous_of_finite_dimensional -> AffineEquiv.continuous_of_finiteDimensional is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Continuous.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (coeFn.{max (succ u4) (succ u5) (succ u2) (succ u3), max (succ u4) (succ u5)} (AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) (fun (_x : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) => PE -> PF) (AffineEquiv.hasCoeToFun.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Continuous.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F 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PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (AffineEquiv.equivLike.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineEquiv.continuous_of_finiteDimensional (f : PE ≃ᵃ[𝕜] PF) : Continuous f :=
   f.toAffineMap.continuous_of_finiteDimensional
@@ -199,10 +181,7 @@ def AffineEquiv.toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) : PE 
 -/
 
 /- warning: affine_equiv.coe_to_homeomorph_of_finite_dimensional -> AffineEquiv.coe_toHomeomorphOfFiniteDimensional is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Eq.{max (succ u4) (succ u5)} (PE -> PF) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (Homeomorph.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) (fun (_x : Homeomorph.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) => PE -> PF) (Homeomorph.hasCoeToFun.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u1, u2, u3, u4, u5} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f)) (coeFn.{max (succ u4) (succ u5) (succ u2) (succ u3), max (succ u4) (succ u5)} (AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) (fun (_x : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) => PE -> PF) (AffineEquiv.hasCoeToFun.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Eq.{max (succ u2) (succ u1)} (PE -> PF) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Homeomorph.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)))) PE (fun (_x : PE) => PF) 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(NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (AffineEquiv.equivLike.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)))) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensionalₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) :
@@ -211,10 +190,7 @@ theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF)
 #align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensional
 
 /- warning: affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm -> AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Eq.{max (succ u5) (succ u4)} (PF -> PE) (coeFn.{max (succ u5) (succ u4), max (succ u5) (succ u4)} (Homeomorph.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) (fun (_x : Homeomorph.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) => PF -> PE) (Homeomorph.hasCoeToFun.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) (Homeomorph.symm.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u1, u2, u3, u4, u5} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f))) (coeFn.{max (succ u5) (succ u4) (succ u3) (succ u2), max (succ u5) (succ u4)} (AffineEquiv.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) (fun (_x : AffineEquiv.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) => PF -> PE) (AffineEquiv.hasCoeToFun.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) (AffineEquiv.symm.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) f))
-but is expected to have type
-  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Eq.{max (succ u2) (succ u1)} (PF -> PE) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Homeomorph.{u1, u2} PF PE (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)))) PF (fun (_x : PF) => PE) 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(PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)))))) (Homeomorph.symm.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u3, u4, u5, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f))) (FunLike.coe.{max (max (max (succ u1) (succ u2)) (succ u5)) (succ u4), succ u1, succ u2} (AffineEquiv.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)) PF (fun (_x : PF) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : PF) => PE) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u1) (succ u2)) (succ u5)) (succ u4), succ u1, succ u2} (AffineEquiv.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)) PF PE (EquivLike.toEmbeddingLike.{max (max (max (succ u1) (succ u2)) (succ u5)) (succ u4), succ u1, succ u2} (AffineEquiv.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)) PF PE (AffineEquiv.equivLike.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)))) (AffineEquiv.symm.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symmₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm (f : PE ≃ᵃ[𝕜] PF) :
@@ -302,10 +278,7 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace
 #align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimension
 
 /- warning: linear_map.exists_antilipschitz_with -> LinearMap.exists_antilipschitzWith is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.hasBot.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{0} (GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) (fun (H : GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) => AntilipschitzWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) 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(NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => And (GT.gt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) K (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero))) (AntilipschitzWith.{u2, u3} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u3} F (MetricSpace.toEMetricSpace.{u3} F (NormedAddCommGroup.toMetricSpace.{u3} F _inst_4))) K (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWithₓ'. -/
 theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F)
     (hf : f.ker = ⊥) : ∃ K > 0, AntilipschitzWith K f :=
@@ -360,10 +333,7 @@ theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
 
 /- warning: is_open_set_of_nat_le_rank -> isOpen_setOf_nat_le_rank is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.instLECardinal.{u3} (Nat.cast.{succ u3} Cardinal.{u3} Cardinal.instNatCastCardinal.{u3} n) (LinearMap.rank.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) f))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rankₓ'. -/
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
@@ -375,10 +345,7 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
 /- warning: basis.op_nnnorm_le -> Basis.op_nnnorm_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (SMul.smul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (Fintype.card.{u4} ι _inst_12) (NNNorm.nnnorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, max u4 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (Pi.seminormedAddCommGroup.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u1, u4, u1} 𝕜 ι (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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_inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (HSMul.hSMul.{0, 0, 0} Nat NNReal NNReal (instHSMul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring)))))) (Fintype.card.{u1} ι _inst_12) (NNNorm.nnnorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, max u2 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (Pi.seminormedAddCommGroup.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.op_nnnorm_le Basis.op_nnnorm_leₓ'. -/
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
@@ -404,10 +371,7 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
 /- warning: basis.op_norm_le -> Basis.op_norm_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) M) -> (forall (i : ι), 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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_inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.op_norm_le Basis.op_norm_leₓ'. -/
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
@@ -416,10 +380,7 @@ theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E
 #align basis.op_norm_le Basis.op_norm_le
 
 /- warning: basis.exists_op_nnnorm_le -> Basis.exists_op_nnnorm_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Finite.{succ u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)), Exists.{1} NNReal (fun (C : NNReal) => Exists.{0} (GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) C (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) (fun (H : GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) C (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) => forall {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{u3} F (SeminormedAddGroup.toNNNorm.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Finite.{succ u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) C M))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_leₓ'. -/
 /-- A weaker version of `basis.op_nnnorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
@@ -432,10 +393,7 @@ theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E
 #align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
 
 /- warning: basis.exists_op_norm_le -> Basis.exists_op_norm_le is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Finite.{succ u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)), Exists.{1} Real (fun (C : Real) => Exists.{0} (GT.gt.{0} Real Real.hasLt C (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) (fun (H : GT.gt.{0} Real Real.hasLt C (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero)))) => forall {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 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-but is expected to have type
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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i))) M) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C M))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align basis.exists_op_norm_le Basis.exists_op_norm_leₓ'. -/
 /-- A weaker version of `basis.op_norm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
@@ -526,10 +484,7 @@ theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDime
 -/
 
 /- warning: affine_subspace.closed_of_finite_dimensional -> AffineSubspace.closed_of_finiteDimensional is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {P : Type.{u3}} [_inst_12 : MetricSpace.{u3} P] [_inst_13 : NormedAddTorsor.{u2, u3} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u3} P _inst_12)] (s : AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) [_inst_14 : FiniteDimensional.{u1, u2} 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) (AffineSubspace.direction.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13) s)) (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (Submodule.addCommGroup.{u1, u2} 𝕜 E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (AffineSubspace.direction.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13) s)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (AffineSubspace.direction.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13) s))], IsClosed.{u3} P (UniformSpace.toTopologicalSpace.{u3} P (PseudoMetricSpace.toUniformSpace.{u3} P (MetricSpace.toPseudoMetricSpace.{u3} P _inst_12))) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) (Set.{u3} P) (HasLiftT.mk.{succ u3, succ u3} (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) (Set.{u3} P) (CoeTCₓ.coe.{succ u3, succ u3} (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) (Set.{u3} P) (SetLike.Set.hasCoeT.{u3, u3} (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) P (AffineSubspace.setLike.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13))))) s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {P : Type.{u1}} [_inst_12 : MetricSpace.{u1} P] [_inst_13 : NormedAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12)] (s : AffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) [_inst_14 : FiniteDimensional.{u2, u3} 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) E (Submodule.setLike.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))) x (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s))) (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (Submodule.addCommGroup.{u2, u3} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s)) (Submodule.module.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s))], IsClosed.{u1} P (UniformSpace.toTopologicalSpace.{u1} P (PseudoMetricSpace.toUniformSpace.{u1} P (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12))) (SetLike.coe.{u1, u1} (AffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) P (AffineSubspace.instSetLikeAffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) s)
+<too large>
 Case conversion may be inaccurate. Consider using '#align affine_subspace.closed_of_finite_dimensional AffineSubspace.closed_of_finiteDimensionalₓ'. -/
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
@@ -706,10 +661,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
 end Riesz
 
 /- warning: linear_equiv.closed_embedding_of_injective -> LinearEquiv.closedEmbedding_of_injective is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 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(NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.hasBot.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injectiveₓ'. -/
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
 theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
@@ -722,10 +674,7 @@ theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.
 #align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
 
 /- warning: continuous_linear_map.exists_right_inverse_of_surjective -> ContinuousLinearMap.exists_right_inverse_of_surjective is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u3} 𝕜 F (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)] (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u3} (Submodule.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (RingHomSurjective.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) f) (Top.top.{u3} (Submodule.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Submodule.hasTop.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) -> (Exists.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fun (g : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.comp.{u1, u1, u1, u3, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f g) (ContinuousLinearMap.id.{u1, u3} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))
-but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u3} 𝕜 F (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)] (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u3} (Submodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (RingHomSurjective.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) f) (Top.top.{u3} (Submodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Submodule.instTopSubmodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) -> (Exists.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fun (g : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.comp.{u1, u1, u1, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHomCompTriple.ids.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f g) (ContinuousLinearMap.id.{u1, u3} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjectiveₓ'. -/
 theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
     (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
@@ -791,10 +740,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
 -/
 
 /- warning: continuous_on_clm_apply -> continuousOn_clm_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))} {s : Set.{u4} X}, Iff (ContinuousOn.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y) s)
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))} {s : Set.{u1} X}, Iff (ContinuousOn.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y) s)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_on_clm_apply continuousOn_clm_applyₓ'. -/
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
 theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
@@ -811,10 +757,7 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
 #align continuous_on_clm_apply continuousOn_clm_apply
 
 /- warning: continuous_clm_apply -> continuous_clm_apply is a dubious translation:
-lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f) (forall (y : E), Continuous.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y))
-but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))}, Iff (Continuous.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f) (forall (y : E), Continuous.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_clm_apply continuous_clm_applyₓ'. -/
 theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -361,9 +361,9 @@ theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
 
 /- warning: is_open_set_of_nat_le_rank -> isOpen_setOf_nat_le_rank is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} 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(NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.hasLe.{u3} ((fun (a : Type) (b : Type.{succ u3}) [self : HasLiftT.{1, succ (succ u3)} a b] => self.0) Nat 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 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_inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.hasLe.{u3} ((fun (a : Type) (b : Type.{succ u3}) [self : HasLiftT.{1, succ (succ u3)} a b] => self.0) Nat 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(NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (CoeTCₓ.coe.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.instLECardinal.{u3} (Nat.cast.{succ u3} Cardinal.{u3} Cardinal.instNatCastCardinal.{u3} n) (LinearMap.rank.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) f))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.instLECardinal.{u3} (Nat.cast.{succ u3} Cardinal.{u3} Cardinal.instNatCastCardinal.{u3} n) (LinearMap.rank.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) f))))
 Case conversion may be inaccurate. Consider using '#align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rankₓ'. -/
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
@@ -376,9 +376,9 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n
 
 /- warning: basis.op_nnnorm_le -> Basis.op_nnnorm_le is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{u3} F (SeminormedAddGroup.toNNNorm.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (SMul.smul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (Fintype.card.{u4} ι _inst_12) (NNNorm.nnnorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, max u4 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (Pi.seminormedAddCommGroup.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u1, u4, u1} 𝕜 ι (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Basis.equivFunL._proof_1.{u1} 𝕜 _inst_1) (Basis.equivFunL._proof_2.{u1} 𝕜 _inst_1) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Basis.equivFunL.{u1, u2, u4} 𝕜 _inst_1 E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} (M : NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{u3} F (SeminormedAddGroup.toNNNorm.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) u (coeFn.{max (succ u4) (succ u1) (succ u2), max (succ u4) (succ u2)} (Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fun (_x : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => ι -> E) (FunLike.hasCoeToFun.{max (succ u4) (succ u1) (succ u2), succ u4, succ u2} (Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) ι (fun (_x : ι) => E) (Basis.funLike.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) v i))) M) -> (LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (SMul.smul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (Fintype.card.{u4} ι _inst_12) (NNNorm.nnnorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, max u4 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (Pi.seminormedAddCommGroup.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u1, u4, u1} 𝕜 ι (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Basis.equivFunL._proof_1.{u1} 𝕜 _inst_1) (Basis.equivFunL._proof_2.{u1} 𝕜 _inst_1) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Basis.equivFunL.{u1, u2, u4} 𝕜 _inst_1 E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} (M : NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (SeminormedAddGroup.toNNNorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun 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(NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i))) M) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (HSMul.hSMul.{0, 0, 0} Nat NNReal NNReal (instHSMul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring)))))) (Fintype.card.{u1} ι _inst_12) (NNNorm.nnnorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, max u2 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (Pi.seminormedAddCommGroup.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} (M : NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i))) M) -> (LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (HSMul.hSMul.{0, 0, 0} Nat NNReal NNReal (instHSMul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring)))))) (Fintype.card.{u1} ι _inst_12) (NNNorm.nnnorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, max u2 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (Pi.seminormedAddCommGroup.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
 Case conversion may be inaccurate. Consider using '#align basis.op_nnnorm_le Basis.op_nnnorm_leₓ'. -/
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
@@ -405,9 +405,9 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
 
 /- warning: basis.op_norm_le -> Basis.op_norm_le is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) M) -> (forall (i : ι), 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𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, max u4 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (Pi.seminormedAddCommGroup.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u1, u4, u1} 𝕜 ι (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Basis.equivFunL._proof_1.{u1} 𝕜 _inst_1) (Basis.equivFunL._proof_2.{u1} 𝕜 _inst_1) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Basis.equivFunL.{u1, u2, u4} 𝕜 _inst_1 E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) M) -> (forall (i : ι), LE.le.{0} Real Real.hasLe (Norm.norm.{u3} F (NormedAddCommGroup.toHasNorm.{u3} F _inst_4) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Basis.equivFunL.{u1, u2, u4} 𝕜 _inst_1 E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) M) -> (forall (i : ι), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (NormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) M) -> (forall (i : ι), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (NormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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_inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E 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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
 Case conversion may be inaccurate. Consider using '#align basis.op_norm_le Basis.op_norm_leₓ'. -/
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
@@ -792,9 +792,9 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
 
 /- warning: continuous_on_clm_apply -> continuousOn_clm_apply is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))} {s : Set.{u4} X}, Iff (ContinuousOn.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y) s)
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))} {s : Set.{u4} X}, Iff (ContinuousOn.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y) s)
 but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))} {s : Set.{u1} X}, Iff (ContinuousOn.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y) s)
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))} {s : Set.{u1} X}, Iff (ContinuousOn.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y) s)
 Case conversion may be inaccurate. Consider using '#align continuous_on_clm_apply continuousOn_clm_applyₓ'. -/
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
 theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
@@ -812,9 +812,9 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
 
 /- warning: continuous_clm_apply -> continuous_clm_apply is a dubious translation:
 lean 3 declaration is
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))}, Iff (Continuous.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f) (forall (y : E), Continuous.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))}, Iff (Continuous.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f) (forall (y : E), Continuous.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y))
 but is expected to have type
-  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))}, Iff (Continuous.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f) (forall (y : E), Continuous.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y))
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))}, Iff (Continuous.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.toTopologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f) (forall (y : E), Continuous.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y))
 Case conversion may be inaccurate. Consider using '#align continuous_clm_apply continuous_clm_applyₓ'. -/
 theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by

mathlib commit https://github.com/leanprover-community/mathlib/commit/8d33f09cd7089ecf074b4791907588245aec5d1b

@@ -305,7 +305,7 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.hasBot.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{0} (GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) (fun (H : GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) => AntilipschitzWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => And (GT.gt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) K (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero))) (AntilipschitzWith.{u2, u3} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u3} F (MetricSpace.toEMetricSpace.{u3} F (NormedAddCommGroup.toMetricSpace.{u3} F _inst_4))) K (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => And (GT.gt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) K (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero))) (AntilipschitzWith.{u2, u3} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u3} F (MetricSpace.toEMetricSpace.{u3} F (NormedAddCommGroup.toMetricSpace.{u3} F _inst_4))) K (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
 Case conversion may be inaccurate. Consider using '#align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWithₓ'. -/
 theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F)
     (hf : f.ker = ⊥) : ∃ K > 0, AntilipschitzWith K f :=
@@ -709,7 +709,7 @@ end Riesz
 lean 3 declaration is
   forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.hasBot.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
 but is expected to have type
-  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
 Case conversion may be inaccurate. Consider using '#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injectiveₓ'. -/
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
 theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)

mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -20,6 +20,9 @@ import Mathbin.Topology.Instances.Matrix
 /-!
 # Finite dimensional normed spaces over complete fields
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Over a complete nontrivially normed field, in finite dimension, all norms are equivalent and all
 linear maps are continuous. Moreover, a finite-dimensional subspace is always complete and closed.
 

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

@@ -67,6 +67,7 @@ variable {F E₁ : Type _} [SeminormedAddCommGroup F] [NormedAddCommGroup E₁]
 variable {R₁ : Type _} [Field R₁] [Module R₁ E₁] [Module R₁ F] [FiniteDimensional R₁ E₁]
   [FiniteDimensional R₁ F]
 
+#print LinearIsometry.toLinearIsometryEquiv /-
 /-- A linear isometry between finite dimensional spaces of equal dimension can be upgraded
     to a linear isometry equivalence. -/
 def toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F) : E₁ ≃ₗᵢ[R₁] F
@@ -74,13 +75,26 @@ def toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ =
   toLinearEquiv := li.toLinearMap.linearEquivOfInjective li.Injective h
   norm_map' := li.norm_map'
 #align linear_isometry.to_linear_isometry_equiv LinearIsometry.toLinearIsometryEquiv
+-/
 
+/- warning: linear_isometry.coe_to_linear_isometry_equiv -> LinearIsometry.coe_toLinearIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ 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+but is expected to have type
+  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ 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(UniformSpace.toTopologicalSpace.{u2} E₁ (PseudoMetricSpace.toUniformSpace.{u2} E₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3)))) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_2))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u2, u3, u3, u2, u1} (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ 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(SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u1 u2} R₁ R₁ E₁ F (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7 (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} R₁ R₁ E₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7)))) li)
+Case conversion may be inaccurate. Consider using '#align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toLinearIsometryEquiv (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F) :
     (li.toLinearIsometryEquiv h : E₁ → F) = li :=
   rfl
 #align linear_isometry.coe_to_linear_isometry_equiv LinearIsometry.coe_toLinearIsometryEquiv
 
+/- warning: linear_isometry.to_linear_isometry_equiv_apply -> LinearIsometry.toLinearIsometryEquiv_apply is a dubious translation:
+lean 3 declaration is
+  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u3, u2} R₁ E₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6) (FiniteDimensional.finrank.{u3, u1} R₁ F (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7)) (x : E₁), Eq.{succ u1} F (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearIsometryEquiv.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ 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R₁ _inst_5))))) (LinearIsometry.toLinearIsometryEquiv._proof_1.{u3} R₁ _inst_5) (LinearIsometry.toLinearIsometryEquiv._proof_2.{u3} R₁ _inst_5) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (LinearIsometry.toLinearIsometryEquiv.{u1, u2, u3} F E₁ _inst_2 _inst_3 R₁ _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 li h) x) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ (Field.toDivisionRing.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (fun (_x : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (Ring.toSemiring.{u3} R₁ (DivisionRing.toRing.{u3} R₁ 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+but is expected to have type
+  forall {F : Type.{u1}} {E₁ : Type.{u2}} [_inst_2 : SeminormedAddCommGroup.{u1} F] [_inst_3 : NormedAddCommGroup.{u2} E₁] {R₁ : Type.{u3}} [_inst_5 : Field.{u3} R₁] [_inst_6 : Module.{u3, u2} R₁ E₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3))] [_inst_7 : Module.{u3, u1} R₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2))] [_inst_8 : FiniteDimensional.{u3, u2} R₁ E₁ (Field.toDivisionRing.{u3} R₁ _inst_5) (NormedAddCommGroup.toAddCommGroup.{u2} E₁ _inst_3) _inst_6] [_inst_9 : FiniteDimensional.{u3, u1} R₁ F (Field.toDivisionRing.{u3} R₁ _inst_5) (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2) _inst_7] (li : LinearIsometry.{u3, u3, u2, u1} R₁ R₁ 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(Field.toSemifield.{u3} R₁ _inst_5))))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) 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(Field.toSemifield.{u3} R₁ _inst_5))))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (RingHomInvPair.ids.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5)))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7))))) (LinearIsometry.toLinearIsometryEquiv.{u1, u2, u3} F E₁ _inst_2 _inst_3 R₁ _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 li h) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ 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(Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ (UniformSpace.toTopologicalSpace.{u2} E₁ (PseudoMetricSpace.toUniformSpace.{u2} E₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3)))) (AddCommGroup.toAddCommMonoid.{u2} E₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} E₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3))) F (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F _inst_2))) (AddCommGroup.toAddCommMonoid.{u1} F (SeminormedAddCommGroup.toAddCommGroup.{u1} F _inst_2)) _inst_6 _inst_7 (SemilinearIsometryClass.instContinuousSemilinearMapClassToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroupToTopologicalSpaceToUniformSpaceToPseudoMetricSpaceToAddCommMonoidToAddCommGroup.{u3, u3, u2, u1, max u1 u2} R₁ R₁ E₁ F (LinearIsometry.{u3, u3, u2, u1} R₁ R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) E₁ F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7 (LinearIsometry.instSemilinearIsometryClassLinearIsometry.{u3, u3, u2, u1} R₁ R₁ E₁ F (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))) (RingHom.id.{u3} R₁ (Semiring.toNonAssocSemiring.{u3} R₁ (DivisionSemiring.toSemiring.{u3} R₁ (Semifield.toDivisionSemiring.{u3} R₁ (Field.toSemifield.{u3} R₁ _inst_5))))) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E₁ _inst_3) _inst_2 _inst_6 _inst_7)))) li x)
+Case conversion may be inaccurate. Consider using '#align linear_isometry.to_linear_isometry_equiv_apply LinearIsometry.toLinearIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toLinearIsometryEquiv_apply (li : E₁ →ₗᵢ[R₁] F) (h : finrank R₁ E₁ = finrank R₁ F)
     (x : E₁) : (li.toLinearIsometryEquiv h) x = li x :=
@@ -99,6 +113,7 @@ variable {𝕜 : Type _} {V₁ V₂ : Type _} {P₁ P₂ : Type _} [NormedField
 
 variable [FiniteDimensional 𝕜 V₁] [FiniteDimensional 𝕜 V₂]
 
+#print AffineIsometry.toAffineIsometryEquiv /-
 /-- An affine isometry between finite dimensional spaces of equal dimension can be upgraded
     to an affine isometry equivalence. -/
 def toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂) (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) :
@@ -106,13 +121,26 @@ def toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂) (h :
   AffineIsometryEquiv.mk' li (li.LinearIsometry.toLinearIsometryEquiv h) (Inhabited.default P₁)
     fun p => by simp
 #align affine_isometry.to_affine_isometry_equiv AffineIsometry.toAffineIsometryEquiv
+-/
 
+/- warning: affine_isometry.coe_to_affine_isometry_equiv -> AffineIsometry.coe_toAffineIsometryEquiv is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {V₁ : Type.{u2}} {V₂ : Type.{u3}} {P₁ : Type.{u4}} {P₂ : Type.{u5}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} V₁] [_inst_3 : SeminormedAddCommGroup.{u3} V₂] [_inst_4 : NormedSpace.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 V₂ _inst_1 _inst_3] [_inst_6 : MetricSpace.{u4} P₁] [_inst_7 : PseudoMetricSpace.{u5} P₂] [_inst_8 : NormedAddTorsor.{u2, u4} V₁ P₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6)] [_inst_9 : NormedAddTorsor.{u3, u5} V₂ P₂ _inst_3 _inst_7] [_inst_10 : FiniteDimensional.{u1, u2} 𝕜 V₁ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)] [_inst_11 : FiniteDimensional.{u1, u3} 𝕜 V₂ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5)] [_inst_12 : Inhabited.{succ u4} P₁] (li : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} 𝕜 V₁ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)) (FiniteDimensional.finrank.{u1, u3} 𝕜 V₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5))), Eq.{max (succ u4) (succ u5)} ((fun (_x : AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometry.toAffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 li h)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometryEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (AffineIsometry.toAffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 li h)) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometry.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) li)
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+Case conversion may be inaccurate. Consider using '#align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquivₓ'. -/
 @[simp]
 theorem coe_toAffineIsometryEquiv [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) : (li.toAffineIsometryEquiv h : P₁ → P₂) = li :=
   rfl
 #align affine_isometry.coe_to_affine_isometry_equiv AffineIsometry.coe_toAffineIsometryEquiv
 
+/- warning: affine_isometry.to_affine_isometry_equiv_apply -> AffineIsometry.toAffineIsometryEquiv_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} {V₁ : Type.{u2}} {V₂ : Type.{u3}} {P₁ : Type.{u4}} {P₂ : Type.{u5}} [_inst_1 : NormedField.{u1} 𝕜] [_inst_2 : NormedAddCommGroup.{u2} V₁] [_inst_3 : SeminormedAddCommGroup.{u3} V₂] [_inst_4 : NormedSpace.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2)] [_inst_5 : NormedSpace.{u1, u3} 𝕜 V₂ _inst_1 _inst_3] [_inst_6 : MetricSpace.{u4} P₁] [_inst_7 : PseudoMetricSpace.{u5} P₂] [_inst_8 : NormedAddTorsor.{u2, u4} V₁ P₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6)] [_inst_9 : NormedAddTorsor.{u3, u5} V₂ P₂ _inst_3 _inst_7] [_inst_10 : FiniteDimensional.{u1, u2} 𝕜 V₁ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)] [_inst_11 : FiniteDimensional.{u1, u3} 𝕜 V₂ (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 _inst_1)) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5)] [_inst_12 : Inhabited.{succ u4} P₁] (li : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u1, u2} 𝕜 V₁ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} V₁ _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_4)) (FiniteDimensional.finrank.{u1, u3} 𝕜 V₂ (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u3} V₂ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 V₂ _inst_1 _inst_3 _inst_5))) (x : P₁), Eq.{succ u5} P₂ (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometryEquiv.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (AffineIsometry.toAffineIsometryEquiv.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 li h) x) (coeFn.{max (succ u2) (succ u3) (succ u4) (succ u5), max (succ u4) (succ u5)} (AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (fun (_x : AffineIsometry.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) => P₁ -> P₂) (AffineIsometry.hasCoeToFun.{u1, u2, u3, u4, u5} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u4} P₁ _inst_6) _inst_7 _inst_8 _inst_9) li x)
+but is expected to have type
+  forall {𝕜 : Type.{u4}} {V₁ : Type.{u3}} {V₂ : Type.{u2}} {P₁ : Type.{u5}} {P₂ : Type.{u1}} [_inst_1 : NormedField.{u4} 𝕜] [_inst_2 : NormedAddCommGroup.{u3} V₁] [_inst_3 : SeminormedAddCommGroup.{u2} V₂] [_inst_4 : NormedSpace.{u4, u3} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2)] [_inst_5 : NormedSpace.{u4, u2} 𝕜 V₂ _inst_1 _inst_3] [_inst_6 : MetricSpace.{u5} P₁] [_inst_7 : PseudoMetricSpace.{u1} P₂] [_inst_8 : NormedAddTorsor.{u3, u5} V₁ P₁ (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6)] [_inst_9 : NormedAddTorsor.{u2, u1} V₂ P₂ _inst_3 _inst_7] [_inst_10 : FiniteDimensional.{u4, u3} 𝕜 V₁ (NormedDivisionRing.toDivisionRing.{u4} 𝕜 (NormedField.toNormedDivisionRing.{u4} 𝕜 _inst_1)) (NormedAddCommGroup.toAddCommGroup.{u3} V₁ _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_4)] [_inst_11 : FiniteDimensional.{u4, u2} 𝕜 V₂ (NormedDivisionRing.toDivisionRing.{u4} 𝕜 (NormedField.toNormedDivisionRing.{u4} 𝕜 _inst_1)) (SeminormedAddCommGroup.toAddCommGroup.{u2} V₂ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 V₂ _inst_1 _inst_3 _inst_5)] [_inst_12 : Inhabited.{succ u5} P₁] (li : AffineIsometry.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) (h : Eq.{1} Nat (FiniteDimensional.finrank.{u4, u3} 𝕜 V₁ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} V₁ _inst_2) (NormedSpace.toModule.{u4, u3} 𝕜 V₁ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_4)) (FiniteDimensional.finrank.{u4, u2} 𝕜 V₂ (DivisionSemiring.toSemiring.{u4} 𝕜 (Semifield.toDivisionSemiring.{u4} 𝕜 (Field.toSemifield.{u4} 𝕜 (NormedField.toField.{u4} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} V₂ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜 V₂ _inst_1 _inst_3 _inst_5))) (x : P₁), Eq.{succ u1} ((fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : P₁) => P₂) x) (FunLike.coe.{max (max (max (succ u3) (succ u2)) (succ u5)) (succ u1), succ u5, succ u1} (AffineIsometryEquiv.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Data.FunLike.Embedding._hyg.19 : P₁) => P₂) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u3) (succ u2)) (succ u5)) (succ u1), succ u5, succ u1} (AffineIsometryEquiv.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) P₁ P₂ (EquivLike.toEmbeddingLike.{max (max (max (succ u3) (succ u2)) (succ u5)) (succ u1), succ u5, succ u1} (AffineIsometryEquiv.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) P₁ P₂ (AffineIsometryEquiv.instEquivLikeAffineIsometryEquiv.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9))) (AffineIsometry.toAffineIsometryEquiv.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 _inst_2 _inst_3 _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 li h) x) (FunLike.coe.{max (max (max (succ u3) (succ u2)) (succ u5)) (succ u1), succ u5, succ u1} (AffineIsometry.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) P₁ (fun (_x : P₁) => (fun (x._@.Mathlib.Analysis.NormedSpace.AffineIsometry._hyg.1845 : P₁) => P₂) _x) (AffineIsometry.instFunLikeAffineIsometry.{u4, u3, u2, u5, u1} 𝕜 V₁ V₂ P₁ P₂ _inst_1 (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} V₁ _inst_2) _inst_3 _inst_4 _inst_5 (MetricSpace.toPseudoMetricSpace.{u5} P₁ _inst_6) _inst_7 _inst_8 _inst_9) li x)
+Case conversion may be inaccurate. Consider using '#align affine_isometry.to_affine_isometry_equiv_apply AffineIsometry.toAffineIsometryEquiv_applyₓ'. -/
 @[simp]
 theorem toAffineIsometryEquiv_apply [Inhabited P₁] (li : P₁ →ᵃⁱ[𝕜] P₂)
     (h : finrank 𝕜 V₁ = finrank 𝕜 V₂) (x : P₁) : (li.toAffineIsometryEquiv h) x = li x :=
@@ -135,14 +163,27 @@ variable {PE PF : Type _} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace P
 
 include E F
 
+/- warning: affine_map.continuous_of_finite_dimensional -> AffineMap.continuous_of_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineMap.{u1, u2, u4, u3, u5} 𝕜 E PE F PF (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) 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_inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) => PE -> PF) (AffineMap.hasCoeToFun.{u1, u2, u4, u3, u5} 𝕜 E PE F PF (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineMap.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Continuous.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (FunLike.coe.{max (max (max (succ u4) (succ u2)) (succ u5)) (succ u1), succ u2, succ u1} (AffineMap.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineMap._hyg.1003 : PE) => PF) _x) (AffineMap.funLike.{u3, u4, u2, u5, u1} 𝕜 E PE F PF (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) f)
+Case conversion may be inaccurate. Consider using '#align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineMap.continuous_of_finiteDimensional (f : PE →ᵃ[𝕜] PF) : Continuous f :=
   AffineMap.continuous_linear_iff.1 f.linear.continuous_of_finiteDimensional
 #align affine_map.continuous_of_finite_dimensional AffineMap.continuous_of_finiteDimensional
 
+/- warning: affine_equiv.continuous_of_finite_dimensional -> AffineEquiv.continuous_of_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Continuous.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (coeFn.{max (succ u4) (succ u5) (succ u2) (succ u3), max (succ u4) (succ u5)} (AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) (fun (_x : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) => PE -> PF) (AffineEquiv.hasCoeToFun.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Continuous.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (AffineEquiv.equivLike.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)))) f)
+Case conversion may be inaccurate. Consider using '#align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensionalₓ'. -/
 theorem AffineEquiv.continuous_of_finiteDimensional (f : PE ≃ᵃ[𝕜] PF) : Continuous f :=
   f.toAffineMap.continuous_of_finiteDimensional
 #align affine_equiv.continuous_of_finite_dimensional AffineEquiv.continuous_of_finiteDimensional
 
+#print AffineEquiv.toHomeomorphOfFiniteDimensional /-
 /-- Reinterpret an affine equivalence as a homeomorphism. -/
 def AffineEquiv.toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) : PE ≃ₜ PF
     where
@@ -152,13 +193,26 @@ def AffineEquiv.toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) : PE 
     haveI : FiniteDimensional 𝕜 F := f.linear.finite_dimensional
     f.symm.continuous_of_finite_dimensional
 #align affine_equiv.to_homeomorph_of_finite_dimensional AffineEquiv.toHomeomorphOfFiniteDimensional
+-/
 
+/- warning: affine_equiv.coe_to_homeomorph_of_finite_dimensional -> AffineEquiv.coe_toHomeomorphOfFiniteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Eq.{max (succ u4) (succ u5)} (PE -> PF) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (Homeomorph.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) (fun (_x : Homeomorph.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) => PE -> PF) (Homeomorph.hasCoeToFun.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u1, u2, u3, u4, u5} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f)) (coeFn.{max (succ u4) (succ u5) (succ u2) (succ u3), max (succ u4) (succ u5)} (AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) (fun (_x : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) => PE -> PF) (AffineEquiv.hasCoeToFun.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)) f)
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Eq.{max (succ u2) (succ u1)} (PE -> PF) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (Homeomorph.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)))) PE (fun (_x : PE) => PF) (EmbeddingLike.toFunLike.{max (succ u2) (succ u1), succ u2, succ u1} (Homeomorph.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)))) PE PF (EquivLike.toEmbeddingLike.{max (succ u2) (succ u1), succ u2, succ u1} (Homeomorph.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)))) PE PF (Homeomorph.instEquivLikeHomeomorph.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)))))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u3, u4, u5, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f)) (FunLike.coe.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE (fun (_x : PE) => (fun (a._@.Mathlib.LinearAlgebra.AffineSpace.AffineEquiv._hyg.1470 : PE) => PF) _x) (EmbeddingLike.toFunLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (EquivLike.toEmbeddingLike.{max (max (max (succ u2) (succ u1)) (succ u4)) (succ u5), succ u2, succ u1} (AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)) PE PF (AffineEquiv.equivLike.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)))) f)
+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensionalₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional = f :=
   rfl
 #align affine_equiv.coe_to_homeomorph_of_finite_dimensional AffineEquiv.coe_toHomeomorphOfFiniteDimensional
 
+/- warning: affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm -> AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {PE : Type.{u4}} {PF : Type.{u5}} [_inst_12 : MetricSpace.{u4} PE] [_inst_13 : NormedAddTorsor.{u2, u4} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)] [_inst_14 : MetricSpace.{u5} PF] [_inst_15 : NormedAddTorsor.{u3, u5} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14)] [_inst_16 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : AffineEquiv.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15)), Eq.{max (succ u5) (succ u4)} (PF -> PE) (coeFn.{max (succ u5) (succ u4), max (succ u5) (succ u4)} (Homeomorph.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) (fun (_x : Homeomorph.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) => PF -> PE) (Homeomorph.hasCoeToFun.{u5, u4} PF PE (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12)))) (Homeomorph.symm.{u4, u5} PE PF (UniformSpace.toTopologicalSpace.{u4} PE (PseudoMetricSpace.toUniformSpace.{u4} PE (MetricSpace.toPseudoMetricSpace.{u4} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u5} PF (PseudoMetricSpace.toUniformSpace.{u5} PF (MetricSpace.toPseudoMetricSpace.{u5} PF _inst_14))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u1, u2, u3, u4, u5} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f))) (coeFn.{max (succ u5) (succ u4) (succ u3) (succ u2), max (succ u5) (succ u4)} (AffineEquiv.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) (fun (_x : AffineEquiv.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) => PF -> PE) (AffineEquiv.hasCoeToFun.{u1, u5, u4, u3, u2} 𝕜 PF PE F E (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13)) (AffineEquiv.symm.{u1, u4, u5, u2, u3} 𝕜 PE PF E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u4} E PE _inst_2 _inst_12 _inst_13) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor'.{u3, u5} F PF _inst_4 _inst_14 _inst_15) f))
+but is expected to have type
+  forall {𝕜 : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜] {E : Type.{u4}} [_inst_2 : NormedAddCommGroup.{u4} E] [_inst_3 : NormedSpace.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2)] {F : Type.{u5}} [_inst_4 : NormedAddCommGroup.{u5} F] [_inst_5 : NormedSpace.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4)] [_inst_11 : CompleteSpace.{u3} 𝕜 (PseudoMetricSpace.toUniformSpace.{u3} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜 (NormedCommRing.toSeminormedCommRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))))))] {PE : Type.{u2}} {PF : Type.{u1}} [_inst_12 : MetricSpace.{u2} PE] [_inst_13 : NormedAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)] [_inst_14 : MetricSpace.{u1} PF] [_inst_15 : NormedAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14)] [_inst_16 : FiniteDimensional.{u3, u4} 𝕜 E (NormedDivisionRing.toDivisionRing.{u3} 𝕜 (NormedField.toNormedDivisionRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3)] (f : AffineEquiv.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15)), Eq.{max (succ u2) (succ u1)} (PF -> PE) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (Homeomorph.{u1, u2} PF PE (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)))) PF (fun (_x : PF) => PE) 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(PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12)))))) (Homeomorph.symm.{u2, u1} PE PF (UniformSpace.toTopologicalSpace.{u2} PE (PseudoMetricSpace.toUniformSpace.{u2} PE (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12))) (UniformSpace.toTopologicalSpace.{u1} PF (PseudoMetricSpace.toUniformSpace.{u1} PF (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14))) (AffineEquiv.toHomeomorphOfFiniteDimensional.{u3, u4, u5, u2, u1} 𝕜 _inst_1 E _inst_2 _inst_3 F _inst_4 _inst_5 _inst_11 PE PF _inst_12 _inst_13 _inst_14 _inst_15 _inst_16 f))) (FunLike.coe.{max (max (max (succ u1) (succ u2)) (succ u5)) (succ u4), succ u1, succ u2} (AffineEquiv.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 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(NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)) PF PE (EquivLike.toEmbeddingLike.{max (max (max (succ u1) (succ u2)) (succ u5)) (succ u4), succ u1, succ u2} (AffineEquiv.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)) PF PE (AffineEquiv.equivLike.{u3, u1, u2, u5, u4} 𝕜 PF PE F E (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13)))) (AffineEquiv.symm.{u3, u2, u1, u4, u5} 𝕜 PE PF E F (NormedRing.toRing.{u3} 𝕜 (NormedCommRing.toNormedRing.{u3} 𝕜 (NormedField.toNormedCommRing.{u3} 𝕜 (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u4} E _inst_2) (NormedSpace.toModule.{u3, u4} 𝕜 E (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u4, u2} E PE (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u2} PE _inst_12) _inst_13) (NormedAddCommGroup.toAddCommGroup.{u5} F _inst_4) (NormedSpace.toModule.{u3, u5} 𝕜 F (NontriviallyNormedField.toNormedField.{u3} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) _inst_5) (NormedAddTorsor.toAddTorsor.{u5, u1} F PF (NormedAddCommGroup.toSeminormedAddCommGroup.{u5} F _inst_4) (MetricSpace.toPseudoMetricSpace.{u1} PF _inst_14) _inst_15) f))
+Case conversion may be inaccurate. Consider using '#align affine_equiv.coe_to_homeomorph_of_finite_dimensional_symm AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symmₓ'. -/
 @[simp]
 theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm (f : PE ≃ᵃ[𝕜] PF) :
     ⇑f.toHomeomorphOfFiniteDimensional.symm = f.symm :=
@@ -167,6 +221,7 @@ theorem AffineEquiv.coe_toHomeomorphOfFiniteDimensional_symm (f : PE ≃ᵃ[𝕜
 
 end Affine
 
+#print ContinuousLinearMap.continuous_det /-
 theorem ContinuousLinearMap.continuous_det : Continuous fun f : E →L[𝕜] E => f.det :=
   by
   change Continuous fun f : E →L[𝕜] E => (f : E →ₗ[𝕜] E).det
@@ -181,7 +236,9 @@ theorem ContinuousLinearMap.continuous_det : Continuous fun f : E →L[𝕜] E =
   · unfold LinearMap.det
     simpa only [h, MonoidHom.one_apply, dif_neg, not_false_iff] using continuous_const
 #align continuous_linear_map.continuous_det ContinuousLinearMap.continuous_det
+-/
 
+#print lipschitzExtensionConstant /-
 /-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `C * K` where `C` only depends on `E'`. We record a working value for this constant `C`
@@ -191,7 +248,14 @@ irreducible_def lipschitzExtensionConstant (E' : Type _) [NormedAddCommGroup E']
   let A := (Basis.ofVectorSpace ℝ E').equivFun.toContinuousLinearEquiv
   max (‖A.symm.toContinuousLinearMap‖₊ * ‖A.toContinuousLinearMap‖₊) 1
 #align lipschitz_extension_constant lipschitzExtensionConstant
+-/
 
+/- warning: lipschitz_extension_constant_pos -> lipschitzExtensionConstant_pos is a dubious translation:
+lean 3 declaration is
+  forall (E' : Type.{u1}) [_inst_12 : NormedAddCommGroup.{u1} E'] [_inst_13 : NormedSpace.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12)] [_inst_14 : FiniteDimensional.{0, u1} Real E' Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_12) (NormedSpace.toModule.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12) _inst_13)], LT.lt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))))) (lipschitzExtensionConstant.{u1} E' _inst_12 _inst_13 _inst_14)
+but is expected to have type
+  forall (E' : Type.{u1}) [_inst_12 : NormedAddCommGroup.{u1} E'] [_inst_13 : NormedSpace.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12)] [_inst_14 : FiniteDimensional.{0, u1} Real E' Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_12) (NormedSpace.toModule.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_12) _inst_13)], LT.lt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero)) (lipschitzExtensionConstant.{u1} E' _inst_12 _inst_13 _inst_14)
+Case conversion may be inaccurate. Consider using '#align lipschitz_extension_constant_pos lipschitzExtensionConstant_posₓ'. -/
 theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
     [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' :=
   by
@@ -199,6 +263,12 @@ theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [No
   exact zero_lt_one.trans_le (le_max_right _ _)
 #align lipschitz_extension_constant_pos lipschitzExtensionConstant_pos
 
+/- warning: lipschitz_on_with.extend_finite_dimension -> LipschitzOnWith.extend_finite_dimension is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_12 : PseudoMetricSpace.{u1} α] {E' : Type.{u2}} [_inst_13 : NormedAddCommGroup.{u2} E'] [_inst_14 : NormedSpace.{0, u2} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_13)] [_inst_15 : FiniteDimensional.{0, u2} Real E' Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E' _inst_13) (NormedSpace.toModule.{0, u2} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_13) _inst_14)] {s : Set.{u1} α} {f : α -> E'} {K : NNReal}, (LipschitzOnWith.{u1, u2} α E' (PseudoMetricSpace.toPseudoEMetricSpace.{u1} α _inst_12) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_13))) K f s) -> (Exists.{max (succ u1) (succ u2)} (α -> E') (fun (g : α -> E') => And (LipschitzWith.{u1, u2} α E' (PseudoMetricSpace.toPseudoEMetricSpace.{u1} α _inst_12) (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E' (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E' (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E' _inst_13))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (lipschitzExtensionConstant.{u2} E' _inst_13 _inst_14 _inst_15) K) g) (Set.EqOn.{u1, u2} α E' f g s)))
+but is expected to have type
+  forall {α : Type.{u2}} [_inst_12 : PseudoMetricSpace.{u2} α] {E' : Type.{u1}} [_inst_13 : NormedAddCommGroup.{u1} E'] [_inst_14 : NormedSpace.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_13)] [_inst_15 : FiniteDimensional.{0, u1} Real E' Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E' _inst_13) (NormedSpace.toModule.{0, u1} Real E' Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E' _inst_13) _inst_14)] {s : Set.{u2} α} {f : α -> E'} {K : NNReal}, (LipschitzOnWith.{u2, u1} α E' (PseudoMetricSpace.toPseudoEMetricSpace.{u2} α _inst_12) (EMetricSpace.toPseudoEMetricSpace.{u1} E' (MetricSpace.toEMetricSpace.{u1} E' (NormedAddCommGroup.toMetricSpace.{u1} E' _inst_13))) K f s) -> (Exists.{max (succ u2) (succ u1)} (α -> E') (fun (g : α -> E') => And (LipschitzWith.{u2, u1} α E' (PseudoMetricSpace.toPseudoEMetricSpace.{u2} α _inst_12) (EMetricSpace.toPseudoEMetricSpace.{u1} E' (MetricSpace.toEMetricSpace.{u1} E' (NormedAddCommGroup.toMetricSpace.{u1} E' _inst_13))) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (lipschitzExtensionConstant.{u1} E' _inst_13 _inst_14 _inst_15) K) g) (Set.EqOn.{u2, u1} α E' f g s)))
+Case conversion may be inaccurate. Consider using '#align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimensionₓ'. -/
 /-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `lipschitz_extension_constant E' * K`. -/
@@ -228,6 +298,12 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace
     simp only [(· ∘ ·), ← this, A.symm_apply_apply]
 #align lipschitz_on_with.extend_finite_dimension LipschitzOnWith.extend_finite_dimension
 
+/- warning: linear_map.exists_antilipschitz_with -> LinearMap.exists_antilipschitzWith is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.hasBot.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => Exists.{0} (GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) (fun (H : GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) K (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) => AntilipschitzWith.{u2, u3} E F (PseudoMetricSpace.toPseudoEMetricSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (PseudoMetricSpace.toPseudoEMetricSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) K (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (LinearMap.hasCoeToFun.{u1, u1, u2, u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] (f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (Exists.{1} NNReal (fun (K : NNReal) => And (GT.gt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) K (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero))) (AntilipschitzWith.{u2, u3} E F (EMetricSpace.toPseudoEMetricSpace.{u2} E (MetricSpace.toEMetricSpace.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))) (EMetricSpace.toPseudoEMetricSpace.{u3} F (MetricSpace.toEMetricSpace.{u3} F (NormedAddCommGroup.toMetricSpace.{u3} F _inst_4))) K (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (a : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) a) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))))
+Case conversion may be inaccurate. Consider using '#align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWithₓ'. -/
 theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F)
     (hf : f.ker = ⊥) : ∃ K > 0, AntilipschitzWith K f :=
   by
@@ -238,6 +314,12 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
 
+/- warning: linear_independent.eventually -> LinearIndependent.eventually is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u3}} [_inst_12 : Finite.{succ u3} ι] {f : ι -> E}, (LinearIndependent.{u3, u1, u2} ι 𝕜 E f (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) -> (Filter.Eventually.{max u3 u2} (ι -> E) (fun (g : ι -> E) => LinearIndependent.{u3, u1, u2} ι 𝕜 E g (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (nhds.{max u3 u2} (ι -> E) (Pi.topologicalSpace.{u3, u2} ι (fun (ᾰ : ι) => E) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) f))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Finite.{succ u1} ι] {f : ι -> E}, (LinearIndependent.{u1, u2, u3} ι 𝕜 E f (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) -> (Filter.Eventually.{max u3 u1} (ι -> E) (fun (g : ι -> E) => LinearIndependent.{u1, u2, u3} ι 𝕜 E g (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) (nhds.{max u3 u1} (ι -> E) (Pi.topologicalSpace.{u1, u3} ι (fun (ᾰ : ι) => E) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))) f))
+Case conversion may be inaccurate. Consider using '#align linear_independent.eventually LinearIndependent.eventuallyₓ'. -/
 protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g :=
   by
@@ -263,11 +345,23 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
   exact mul_le_mul_of_nonneg_left (norm_le_pi_norm (v - u) i) (norm_nonneg _)
 #align linear_independent.eventually LinearIndependent.eventually
 
+/- warning: is_open_set_of_linear_independent -> isOpen_setOf_linearIndependent is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u3}} [_inst_12 : Finite.{succ u3} ι], IsOpen.{max u3 u2} (ι -> E) (Pi.topologicalSpace.{u3, u2} ι (fun (ᾰ : ι) => E) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))) (setOf.{max u3 u2} (ι -> E) (fun (f : ι -> E) => LinearIndependent.{u3, u1, u2} ι 𝕜 E f (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Finite.{succ u1} ι], IsOpen.{max u3 u1} (ι -> E) (Pi.topologicalSpace.{u1, u3} ι (fun (ᾰ : ι) => E) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))) (setOf.{max u3 u1} (ι -> E) (fun (f : ι -> E) => LinearIndependent.{u1, u2, u3} ι 𝕜 E f (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align is_open_set_of_linear_independent isOpen_setOf_linearIndependentₓ'. -/
 theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
     IsOpen { f : ι → E | LinearIndependent 𝕜 f } :=
   isOpen_iff_mem_nhds.2 fun f => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
 
+/- warning: is_open_set_of_nat_le_rank -> isOpen_setOf_nat_le_rank is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) 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(Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (coeBase.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.LinearMap.coe.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))) f))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] (n : Nat), IsOpen.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (setOf.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => LE.le.{succ u3} Cardinal.{u3} Cardinal.instLECardinal.{u3} (Nat.cast.{succ u3} Cardinal.{u3} Cardinal.instNatCastCardinal.{u3} n) (LinearMap.rank.{u1, u2, u3} 𝕜 E F (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.toLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) f))))
+Case conversion may be inaccurate. Consider using '#align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rankₓ'. -/
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
   simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
@@ -277,6 +371,12 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n
   exact is_open_set_of_linear_independent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
+/- warning: basis.op_nnnorm_le -> Basis.op_nnnorm_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (SMul.smul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) (Fintype.card.{u4} ι _inst_12) (NNNorm.nnnorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u4 u1} (ContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, max u4 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (Pi.seminormedAddCommGroup.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u1, u4, u1} 𝕜 ι (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u1, u1, u2, max u4 u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (Basis.equivFunL._proof_1.{u1} 𝕜 _inst_1) (Basis.equivFunL._proof_2.{u1} 𝕜 _inst_1) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (ι -> 𝕜) (Pi.topologicalSpace.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u4, u1} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (Pi.Function.module.{u4, u1, u1} ι 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u1} 𝕜 (NormedAddCommGroup.toAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNormedAddCommGroup.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (NormedSpace.toModule.{u1, u1} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u1} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u1} 𝕜 (NormedRing.toNonUnitalNormedRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (Basis.equivFunL.{u1, u2, u4} 𝕜 _inst_1 E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} (M : NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (SeminormedAddGroup.toNNNorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E 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_inst_4))) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} 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(AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) (HSMul.hSMul.{0, 0, 0} Nat NNReal NNReal (instHSMul.{0, 0} Nat NNReal (AddMonoid.SMul.{0} NNReal (AddMonoidWithOne.toAddMonoid.{0} NNReal (AddCommMonoidWithOne.toAddMonoidWithOne.{0} NNReal (NonAssocSemiring.toAddCommMonoidWithOne.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal instNNRealSemiring)))))) (Fintype.card.{u1} ι _inst_12) (NNNorm.nnnorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddGroup.toNNNorm.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toSeminormedAddGroup.{max (max u2 u3) u1} (ContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, max u2 u1} 𝕜 𝕜 E (ι -> 𝕜) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (Pi.seminormedAddCommGroup.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+Case conversion may be inaccurate. Consider using '#align basis.op_nnnorm_le Basis.op_nnnorm_leₓ'. -/
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
   u.op_nnnorm_le_bound _ fun e =>
@@ -300,12 +400,24 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
+/- warning: basis.op_norm_le -> Basis.op_norm_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Fintype.{u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) M) -> (forall (i : ι), 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (BoundedSMul.continuousSMul.{u1, u2} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (MulZeroClass.toHasZero.{u1} 𝕜 (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u1} 𝕜 (Ring.toNonAssocRing.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (SeminormedAddGroup.toAddGroup.{u2} E (SeminormedAddCommGroup.toSeminormedAddGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))))))) (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (T3Space.t25Space.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (separated_t3.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (MetricSpace.to_separated.{u2} E (NormedAddCommGroup.toMetricSpace.{u2} E _inst_2))))) v)))) M))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Fintype.{u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} {M : Real}, (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) M) -> (forall (i : ι), LE.le.{0} Real Real.instLEReal (Norm.norm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) (NormedAddCommGroup.toNorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i)) _inst_4) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 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(Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (_x : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) _x) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E 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(Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 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(NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) _inst_1 _inst_1 _inst_3 (Pi.normedSpace.{u2, u1, u2} 𝕜 ι (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (fun (ᾰ : ι) => 𝕜) _inst_12 (fun (i : ι) => NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (fun (i : ι) => NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (ContinuousLinearEquiv.toContinuousLinearMap.{u2, u2, u3, max u2 u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (RingHomInvPair.ids.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (ι -> 𝕜) (Pi.topologicalSpace.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (a : ι) => UniformSpace.toTopologicalSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (Pi.addCommMonoid.{u1, u2} ι (fun (ᾰ : ι) => 𝕜) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (Pi.module.{u1, u2, u2} ι (fun (a._@.Mathlib.Topology.Algebra.Module.FiniteDimension._hyg.6003 : ι) => 𝕜) 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (fun (i : ι) => NonUnitalNonAssocSemiring.toAddCommMonoid.{u2} 𝕜 (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} 𝕜 (NonAssocRing.toNonUnitalNonAssocRing.{u2} 𝕜 (Ring.toNonAssocRing.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) (fun (i : ι) => NormedSpace.toModule.{u2, u2} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NonUnitalSeminormedRing.toSeminormedAddCommGroup.{u2} 𝕜 (NonUnitalNormedRing.toNonUnitalSeminormedRing.{u2} 𝕜 (NormedRing.toNonUnitalNormedRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NormedField.toNormedSpace.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (Basis.equivFunL.{u2, u3, u1} 𝕜 _inst_1 E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (BoundedSMul.continuousSMul.{u2, u3} 𝕜 E (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)))))) (SMulZeroClass.toSMul.{u2, u3} 𝕜 E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜 E (CommMonoidWithZero.toZero.{u2} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜 (Semifield.toCommGroupWithZero.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜 E (Semiring.toMonoidWithZero.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))))))) (Module.toMulActionWithZero.{u2, u3} 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))))) (NormedSpace.boundedSMul.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) _inst_11 ι _inst_12 (T25Space.t2Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (T3Space.t25Space.{u3} E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (separated_t3.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2))) (MetricSpace.to_separated.{u3} E (NormedAddCommGroup.toMetricSpace.{u3} E _inst_2))))) v)))) M))
+Case conversion may be inaccurate. Consider using '#align basis.op_norm_le Basis.op_norm_leₓ'. -/
 theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
   simpa using nnreal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.op_norm_le
 
+/- warning: basis.exists_op_nnnorm_le -> Basis.exists_op_nnnorm_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Finite.{succ u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)), Exists.{1} NNReal (fun (C : NNReal) => Exists.{0} (GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) C (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) (fun (H : GT.gt.{0} NNReal (Preorder.toHasLt.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) C (OfNat.ofNat.{0} NNReal 0 (OfNat.mk.{0} NNReal 0 (Zero.zero.{0} NNReal (MulZeroClass.toHasZero.{0} NNReal (NonUnitalNonAssocSemiring.toMulZeroClass.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring)))))))) => forall {u : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 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NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{u3} F (SeminormedAddGroup.toNNNorm.{u3} F (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 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(AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => ι -> E) (FunLike.hasCoeToFun.{max (succ u4) (succ u1) (succ u2), succ u4, succ u2} (Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) ι (fun (_x : ι) => E) (Basis.funLike.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) v i))) M) -> (LE.le.{0} NNReal (Preorder.toHasLe.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (OrderedCancelAddCommMonoid.toPartialOrder.{0} NNReal (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} NNReal NNReal.strictOrderedSemiring)))) (NNNorm.nnnorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddGroup.toNNNorm.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u2 u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (Distrib.toHasMul.{0} NNReal (NonUnitalNonAssocSemiring.toDistrib.{0} NNReal (NonAssocSemiring.toNonUnitalNonAssocSemiring.{0} NNReal (Semiring.toNonAssocSemiring.{0} NNReal NNReal.semiring))))) C M))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Finite.{succ u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)), Exists.{1} NNReal (fun (C : NNReal) => And (GT.gt.{0} NNReal (Preorder.toLT.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) C (OfNat.ofNat.{0} NNReal 0 (Zero.toOfNat0.{0} NNReal instNNRealZero))) (forall {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)} (M : NNReal), (forall (i : ι), LE.le.{0} NNReal (Preorder.toLE.{0} NNReal (PartialOrder.toPreorder.{0} NNReal (StrictOrderedSemiring.toPartialOrder.{0} NNReal instNNRealStrictOrderedSemiring))) (NNNorm.nnnorm.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) 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𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (SeminormedAddCommGroup.toSeminormedAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.toSeminormedAddCommGroup.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) (RingHomIsometric.ids.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} NNReal NNReal NNReal (instHMul.{0} NNReal (CanonicallyOrderedCommSemiring.toMul.{0} NNReal instNNRealCanonicallyOrderedCommSemiring)) C M))))
+Case conversion may be inaccurate. Consider using '#align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_leₓ'. -/
 /-- A weaker version of `basis.op_nnnorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
@@ -316,6 +428,12 @@ theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E
         (v.op_nnnorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
 #align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
 
+/- warning: basis.exists_op_norm_le -> Basis.exists_op_norm_le is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {ι : Type.{u4}} [_inst_12 : Finite.{succ u4} ι] (v : Basis.{u4, u1, u2} ι 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u1, u1, u2, u3} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.hasMul) C M))))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {ι : Type.{u1}} [_inst_12 : Finite.{succ u1} ι] (v : Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)), Exists.{1} Real (fun (C : Real) => And (GT.gt.{0} Real Real.instLTReal C (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal))) (forall {u : ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 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(NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) u (FunLike.coe.{max (max (succ u2) (succ u3)) (succ u1), succ u1, succ u3} (Basis.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) ι (fun (a : ι) => (fun (x._@.Mathlib.LinearAlgebra.Basis._hyg.548 : ι) => E) a) (Basis.funLike.{u1, u2, u3} ι 𝕜 E (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) v i))) M) -> (LE.le.{0} Real Real.instLEReal (Norm.norm.{max u3 u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) (ContinuousLinearMap.hasOpNorm.{u2, u2, u3, u4} 𝕜 𝕜 E F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_1 _inst_1 _inst_3 _inst_5 (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))))))) u) (HMul.hMul.{0, 0, 0} Real Real Real (instHMul.{0} Real Real.instMulReal) C M))))
+Case conversion may be inaccurate. Consider using '#align basis.exists_op_norm_le Basis.exists_op_norm_leₓ'. -/
 /-- A weaker version of `basis.op_norm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M :=
@@ -377,27 +495,39 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
 
 variable (𝕜 E)
 
+#print FiniteDimensional.complete /-
 theorem FiniteDimensional.complete [FiniteDimensional 𝕜 E] : CompleteSpace E :=
   by
   set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   have : UniformEmbedding e.to_linear_equiv.to_equiv.symm := e.symm.uniform_embedding
   exact (completeSpace_congr this).1 (by infer_instance)
 #align finite_dimensional.complete FiniteDimensional.complete
+-/
 
 variable {𝕜 E}
 
+#print Submodule.complete_of_finiteDimensional /-
 /-- A finite-dimensional subspace is complete. -/
 theorem Submodule.complete_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDimensional 𝕜 s] :
     IsComplete (s : Set E) :=
   completeSpace_coe_iff_isComplete.1 (FiniteDimensional.complete 𝕜 s)
 #align submodule.complete_of_finite_dimensional Submodule.complete_of_finiteDimensional
+-/
 
+#print Submodule.closed_of_finiteDimensional /-
 /-- A finite-dimensional subspace is closed. -/
 theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDimensional 𝕜 s] :
     IsClosed (s : Set E) :=
   s.complete_of_finiteDimensional.IsClosed
 #align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
+-/
 
+/- warning: affine_subspace.closed_of_finite_dimensional -> AffineSubspace.closed_of_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {P : Type.{u3}} [_inst_12 : MetricSpace.{u3} P] [_inst_13 : NormedAddTorsor.{u2, u3} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u3} P _inst_12)] (s : AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) [_inst_14 : FiniteDimensional.{u1, u2} 𝕜 (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) E (Submodule.setLike.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) (AffineSubspace.direction.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13) s)) (Submodule.module.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (AffineSubspace.direction.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13) s))], IsClosed.{u3} P (UniformSpace.toTopologicalSpace.{u3} P (PseudoMetricSpace.toUniformSpace.{u3} P (MetricSpace.toPseudoMetricSpace.{u3} P _inst_12))) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) (Set.{u3} P) (HasLiftT.mk.{succ u3, succ u3} (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13)) (Set.{u3} P) (CoeTCₓ.coe.{succ u3, succ u3} (AffineSubspace.{u1, u2, u3} 𝕜 E P (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) 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(NormedAddTorsor.toAddTorsor'.{u2, u3} E P _inst_2 _inst_12 _inst_13))))) s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {P : Type.{u1}} [_inst_12 : MetricSpace.{u1} P] [_inst_13 : NormedAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12)] (s : AffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) [_inst_14 : FiniteDimensional.{u2, u3} 𝕜 (Subtype.{succ u3} E (fun (x : E) => Membership.mem.{u3, u3} E (Submodule.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) (SetLike.instMembership.{u3, u3} (Submodule.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)) E (Submodule.setLike.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3))) x (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s))) (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (Submodule.addCommGroup.{u2, u3} 𝕜 E (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s)) (Submodule.module.{u2, u3} 𝕜 E (Ring.toSemiring.{u2} 𝕜 (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (AffineSubspace.direction.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13) s))], IsClosed.{u1} P (UniformSpace.toTopologicalSpace.{u1} P (PseudoMetricSpace.toUniformSpace.{u1} P (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12))) (SetLike.coe.{u1, u1} (AffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) P (AffineSubspace.instSetLikeAffineSubspace.{u2, u3, u1} 𝕜 E P (NormedRing.toRing.{u2} 𝕜 (NormedCommRing.toNormedRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1)))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedAddTorsor.toAddTorsor.{u3, u1} E P (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) (MetricSpace.toPseudoMetricSpace.{u1} P _inst_12) _inst_13)) s)
+Case conversion may be inaccurate. Consider using '#align affine_subspace.closed_of_finite_dimensional AffineSubspace.closed_of_finiteDimensionalₓ'. -/
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
     IsClosed (s : Set P) :=
@@ -406,6 +536,12 @@ theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
 
 section Riesz
 
+/- warning: exists_norm_le_le_norm_sub_of_finset -> exists_norm_le_le_norm_sub_of_finset is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : 𝕜}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c)) -> (forall {R : Real}, (LT.lt.{0} Real Real.hasLt (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c) R) -> (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (forall (s : Finset.{u2} E), Exists.{succ u2} E (fun (x : E) => And (LE.le.{0} Real Real.hasLe (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) x) R) (forall (y : E), (Membership.Mem.{u2, u2} E (Finset.{u2} E) (Finset.hasMem.{u2} E) y s) -> (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) y x)))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : 𝕜}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c)) -> (forall {R : Real}, (LT.lt.{0} Real Real.instLTReal (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c) R) -> (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (forall (s : Finset.{u2} E), Exists.{succ u2} E (fun (x : E) => And (LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) x) R) (forall (y : E), (Membership.mem.{u2, u2} E (Finset.{u2} E) (Finset.instMembershipFinset.{u2} E) y s) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) y x)))))))
+Case conversion may be inaccurate. Consider using '#align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finsetₓ'. -/
 /-- In an infinite dimensional space, given a finite number of points, one may find a point
 with norm at most `R` which is at distance at least `1` of all these points. -/
 theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R : ℝ} (hR : ‖c‖ < R)
@@ -432,6 +568,12 @@ theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R :
   exact ⟨x, xR, fun y hy => hx' _ (Submodule.subset_span hy)⟩
 #align exists_norm_le_le_norm_sub_of_finset exists_norm_le_le_norm_sub_of_finset
 
+/- warning: exists_seq_norm_le_one_le_norm_sub' -> exists_seq_norm_le_one_le_norm_sub' is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : 𝕜}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c)) -> (forall {R : Real}, (LT.lt.{0} Real Real.hasLt (Norm.norm.{u1} 𝕜 (NormedField.toHasNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c) R) -> (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (Exists.{succ u2} (Nat -> E) (fun (f : Nat -> E) => And (forall (n : Nat), LE.le.{0} Real Real.hasLe (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (f n)) R) (forall (m : Nat) (n : Nat), (Ne.{1} Nat m n) -> (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (f m) (f n))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : 𝕜}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c)) -> (forall {R : Real}, (LT.lt.{0} Real Real.instLTReal (Norm.norm.{u1} 𝕜 (NormedField.toNorm.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)) c) R) -> (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (Exists.{succ u2} (Nat -> E) (fun (f : Nat -> E) => And (forall (n : Nat), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (f n)) R) (forall (m : Nat) (n : Nat), (Ne.{1} Nat m n) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (f m) (f n))))))))
+Case conversion may be inaccurate. Consider using '#align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'ₓ'. -/
 /-- In an infinite-dimensional normed space, there exists a sequence of points which are all
 bounded by `R` and at distance at least `1`. For a version not assuming `c` and `R`, see
 `exists_seq_norm_le_one_le_norm_sub`. -/
@@ -450,6 +592,12 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
   exact exists_norm_le_le_norm_sub_of_finset hc hR h s
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
 
+/- warning: exists_seq_norm_le_one_le_norm_sub -> exists_seq_norm_le_one_le_norm_sub is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))], (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (Exists.{1} Real (fun (R : Real) => Exists.{succ u2} (Nat -> E) (fun (f : Nat -> E) => And (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) R) (And (forall (n : Nat), LE.le.{0} Real Real.hasLe (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (f n)) R) (forall (m : Nat) (n : Nat), (Ne.{1} Nat m n) -> (LE.le.{0} Real Real.hasLe (OfNat.ofNat.{0} Real 1 (OfNat.mk.{0} Real 1 (One.one.{0} Real Real.hasOne))) (Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toHasSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (f m) (f n)))))))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))], (Not (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))) -> (Exists.{1} Real (fun (R : Real) => Exists.{succ u2} (Nat -> E) (fun (f : Nat -> E) => And (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) R) (And (forall (n : Nat), LE.le.{0} Real Real.instLEReal (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (f n)) R) (forall (m : Nat) (n : Nat), (Ne.{1} Nat m n) -> (LE.le.{0} Real Real.instLEReal (OfNat.ofNat.{0} Real 1 (One.toOfNat1.{0} Real Real.instOneReal)) (Norm.norm.{u2} E (NormedAddCommGroup.toNorm.{u2} E _inst_2) (HSub.hSub.{u2, u2, u2} E E E (instHSub.{u2} E (SubNegMonoid.toSub.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))) (f m) (f n)))))))))
+Case conversion may be inaccurate. Consider using '#align exists_seq_norm_le_one_le_norm_sub exists_seq_norm_le_one_le_norm_subₓ'. -/
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
     ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
   by
@@ -461,6 +609,12 @@ theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
 
 variable (𝕜)
 
+/- warning: finite_dimensional_of_is_compact_closed_ball₀ -> finiteDimensional_of_isCompact_closed_ball₀ is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2))))))))) r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))))) r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀ₓ'. -/
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
@@ -500,6 +654,12 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
 
+/- warning: finite_dimensional_of_is_compact_closed_ball -> finiteDimensional_of_isCompact_closedBall is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.hasLt (OfNat.ofNat.{0} Real 0 (OfNat.mk.{0} Real 0 (Zero.zero.{0} Real Real.hasZero))) r) -> (forall {c : E}, (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) c r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+but is expected to have type
+  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (forall {c : E}, (IsCompact.{u2} E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (Metric.closedBall.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)) c r)) -> (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBallₓ'. -/
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
@@ -510,6 +670,12 @@ theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c :
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
 
+/- warning: has_compact_mul_support.eq_one_or_finite_dimensional -> HasCompactMulSupport.eq_one_or_finiteDimensional is a dubious translation:
+lean 3 declaration is
+  forall (𝕜 : Type.{u1}) [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u3}} [_inst_12 : TopologicalSpace.{u3} X] [_inst_13 : One.{u3} X] [_inst_14 : T2Space.{u3} X _inst_12] {f : E -> X}, (HasCompactMulSupport.{u2, u3} E X (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_13 f) -> (Continuous.{u2, u3} E X (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) _inst_12 f) -> (Or (Eq.{max (succ u2) (succ u3)} (E -> X) f (OfNat.ofNat.{max u2 u3} (E -> X) 1 (OfNat.mk.{max u2 u3} (E -> X) 1 (One.one.{max u2 u3} (E -> X) (Pi.instOne.{u2, u3} E (fun (ᾰ : E) => X) (fun (i : E) => _inst_13)))))) (FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))
+but is expected to have type
+  forall (𝕜 : Type.{u2}) [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : One.{u1} X] [_inst_14 : T2Space.{u1} X _inst_12] {f : E -> X}, (HasCompactMulSupport.{u3, u1} E X (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_13 f) -> (Continuous.{u3, u1} E X (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) _inst_12 f) -> (Or (Eq.{max (succ u3) (succ u1)} (E -> X) f (OfNat.ofNat.{max u3 u1} (E -> X) 1 (One.toOfNat1.{max u3 u1} (E -> X) (Pi.instOne.{u3, u1} E (fun (a._@.Mathlib.Analysis.NormedSpace.FiniteDimension._hyg.8925 : E) => X) (fun (i : E) => _inst_13))))) (FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)))
+Case conversion may be inaccurate. Consider using '#align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensionalₓ'. -/
 /-- If a function has compact multiplicative support, then either the function is trivial or the
 space if finite-dimensional. -/
 @[to_additive
@@ -536,6 +702,12 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
 
 end Riesz
 
+/- warning: linear_equiv.closed_embedding_of_injective -> LinearEquiv.closedEmbedding_of_injective is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 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(NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 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(RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {f : LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)}, (Eq.{succ u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (LinearMap.ker.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.semilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f) (Bot.bot.{u2} (Submodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (Submodule.instBotSubmodule.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))) -> (forall [_inst_12 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)], ClosedEmbedding.{u2, u3} E F (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (LinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : E) => F) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f))
+Case conversion may be inaccurate. Consider using '#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injectiveₓ'. -/
 /-- An injective linear map with finite-dimensional domain is a closed embedding. -/
 theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.ker = ⊥)
     [FiniteDimensional 𝕜 E] : ClosedEmbedding ⇑f :=
@@ -546,6 +718,12 @@ theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.
       simpa [f.range_coe] using f.range.closed_of_finite_dimensional }
 #align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
 
+/- warning: continuous_linear_map.exists_right_inverse_of_surjective -> ContinuousLinearMap.exists_right_inverse_of_surjective is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u3} 𝕜 F (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)] (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u3} (Submodule.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (RingHomSurjective.ids.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) f) (Top.top.{u3} (Submodule.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Submodule.hasTop.{u1, u3} 𝕜 F (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) -> (Exists.{max (succ u3) (succ u2)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fun (g : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.comp.{u1, u1, u1, u3, u2, u3} 𝕜 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHomCompTriple.right_ids.{u1, u1} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f g) (ContinuousLinearMap.id.{u1, u3} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] [_inst_12 : FiniteDimensional.{u1, u3} 𝕜 F (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)] (f : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)), (Eq.{succ u3} (Submodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (LinearMap.range.{u1, u1, u2, u3, max u2 u3} 𝕜 𝕜 E F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousSemilinearMapClass.toSemilinearMapClass.{max u2 u3, u1, u1, u2, u3} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u1, u1, u2, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))) (RingHomSurjective.ids.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) f) (Top.top.{u3} (Submodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (Submodule.instTopSubmodule.{u1, u3} 𝕜 F (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)))) -> (Exists.{max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) (fun (g : ContinuousLinearMap.{u1, u1, u3, u2} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)) => Eq.{succ u3} (ContinuousLinearMap.{u1, u1, u3, u3} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (ContinuousLinearMap.comp.{u1, u1, u1, u3, u2, u3} 𝕜 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (RingHomCompTriple.ids.{u1, u1} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))))) f g) (ContinuousLinearMap.id.{u1, u3} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjectiveₓ'. -/
 theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
     (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
     ∃ g : F →L[𝕜] E, f.comp g = ContinuousLinearMap.id 𝕜 F :=
@@ -553,10 +731,17 @@ theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensiona
   ⟨g.toContinuousLinearMap, ContinuousLinearMap.ext <| LinearMap.ext_iff.1 hg⟩
 #align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
 
+/- warning: closed_embedding_smul_left -> closedEmbedding_smul_left is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : E}, (Ne.{succ u2} E c (OfNat.ofNat.{u2} E 0 (OfNat.mk.{u2} E 0 (Zero.zero.{u2} E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (SubNegMonoid.toAddMonoid.{u2} E (AddGroup.toSubNegMonoid.{u2} E (NormedAddGroup.toAddGroup.{u2} E (NormedAddCommGroup.toNormedAddGroup.{u2} E _inst_2)))))))))) -> (ClosedEmbedding.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (fun (x : 𝕜) => SMul.smul.{u1, u2} 𝕜 E (SMulZeroClass.toHasSmul.{u1, u2} 𝕜 E (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSmulZeroClass.{u1, u2} 𝕜 E (MulZeroClass.toHasZero.{u1} 𝕜 (MulZeroOneClass.toMulZeroClass.{u1} 𝕜 (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜 (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (AddZeroClass.toHasZero.{u2} E (AddMonoid.toAddZeroClass.{u2} E (AddCommMonoid.toAddMonoid.{u2} E (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (SeminormedAddCommGroup.toAddCommGroup.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2))) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3))))) x c))
+but is expected to have type
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {c : E}, (Ne.{succ u2} E c (OfNat.ofNat.{u2} E 0 (Zero.toOfNat0.{u2} E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2))))))))) -> (ClosedEmbedding.{u1, u2} 𝕜 E (UniformSpace.toTopologicalSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSeminormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (fun (x : 𝕜) => HSMul.hSMul.{u1, u2, u2} 𝕜 E E (instHSMul.{u1, u2} 𝕜 E (SMulZeroClass.toSMul.{u1, u2} 𝕜 E (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (SMulWithZero.toSMulZeroClass.{u1, u2} 𝕜 E (CommMonoidWithZero.toZero.{u1} 𝕜 (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜 (Semifield.toCommGroupWithZero.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (MulActionWithZero.toSMulWithZero.{u1, u2} 𝕜 E (Semiring.toMonoidWithZero.{u1} 𝕜 (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1)))))) (NegZeroClass.toZero.{u2} E (SubNegZeroMonoid.toNegZeroClass.{u2} E (SubtractionMonoid.toSubNegZeroMonoid.{u2} E (SubtractionCommMonoid.toSubtractionMonoid.{u2} E (AddCommGroup.toDivisionAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)))))) (Module.toMulActionWithZero.{u1, u2} 𝕜 E (DivisionSemiring.toSemiring.{u1} 𝕜 (Semifield.toDivisionSemiring.{u1} 𝕜 (Field.toSemifield.{u1} 𝕜 (NormedField.toField.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)))))) x c))
+Case conversion may be inaccurate. Consider using '#align closed_embedding_smul_left closedEmbedding_smul_leftₓ'. -/
 theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x : 𝕜 => x • c :=
   LinearEquiv.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
 #align closed_embedding_smul_left closedEmbedding_smul_left
 
+#print isClosedMap_smul_left /-
 -- `smul` is a closed map in the first argument.
 theorem isClosedMap_smul_left (c : E) : IsClosedMap fun x : 𝕜 => x • c :=
   by
@@ -565,9 +750,11 @@ theorem isClosedMap_smul_left (c : E) : IsClosedMap fun x : 𝕜 => x • c :=
     exact isClosedMap_const
   · exact (closedEmbedding_smul_left hc).IsClosedMap
 #align is_closed_map_smul_left isClosedMap_smul_left
+-/
 
 open ContinuousLinearMap
 
+#print ContinuousLinearEquiv.piRing /-
 /-- Continuous linear equivalence between continuous linear functions `𝕜ⁿ → E` and `Eⁿ`.
 The spaces `𝕜ⁿ` and `Eⁿ` are represented as `ι → 𝕜` and `ι → E`, respectively,
 where `ι` is a finite type. -/
@@ -598,7 +785,14 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
       rw [norm_smul, mul_comm]
       exact mul_le_mul (norm_le_pi_norm g i) (norm_le_pi_norm t i) (norm_nonneg _) (norm_nonneg g) }
 #align continuous_linear_equiv.pi_ring ContinuousLinearEquiv.piRing
+-/
 
+/- warning: continuous_on_clm_apply -> continuousOn_clm_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))} {s : Set.{u4} X}, Iff (ContinuousOn.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y) s)
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))} {s : Set.{u1} X}, Iff (ContinuousOn.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f s) (forall (y : E), ContinuousOn.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) 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(PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y) s)
+Case conversion may be inaccurate. Consider using '#align continuous_on_clm_apply continuousOn_clm_applyₓ'. -/
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
 theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} {s : Set X} : ContinuousOn f s ↔ ∀ y, ContinuousOn (fun x => f x y) s :=
@@ -613,6 +807,12 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
   exact e₂.symm.continuous.comp_continuous_on (continuous_on_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
 
+/- warning: continuous_clm_apply -> continuous_clm_apply is a dubious translation:
+lean 3 declaration is
+  forall {𝕜 : Type.{u1}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜] {E : Type.{u2}} [_inst_2 : NormedAddCommGroup.{u2} E] [_inst_3 : NormedSpace.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)] {F : Type.{u3}} [_inst_4 : NormedAddCommGroup.{u3} F] [_inst_5 : NormedSpace.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)] [_inst_11 : CompleteSpace.{u1} 𝕜 (PseudoMetricSpace.toUniformSpace.{u1} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u1} 𝕜 (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜 (NormedCommRing.toSeminormedCommRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))] {X : Type.{u4}} [_inst_12 : TopologicalSpace.{u4} X] [_inst_13 : FiniteDimensional.{u1, u2} 𝕜 E (NormedDivisionRing.toDivisionRing.{u1} 𝕜 (NormedField.toNormedDivisionRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5))}, Iff (Continuous.{u4, max u2 u3} X (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u1, u1, u2, u3} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E F (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4))) f) (forall (y : E), Continuous.{u4, u3} X F _inst_12 (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (fun (x : X) => coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (fun (_x : ContinuousLinearMap.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) => E -> F) (ContinuousLinearMap.toFun.{u1, u1, u2, u3} 𝕜 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))) (RingHom.id.{u1} 𝕜 (Semiring.toNonAssocSemiring.{u1} 𝕜 (Ring.toSemiring.{u1} 𝕜 (NormedRing.toRing.{u1} 𝕜 (NormedCommRing.toNormedRing.{u1} 𝕜 (NormedField.toNormedCommRing.{u1} 𝕜 (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_4)) (NormedSpace.toModule.{u1, u2} 𝕜 E (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_2) _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜 F (NontriviallyNormedField.toNormedField.{u1} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_4) _inst_5)) (f x) y))
+but is expected to have type
+  forall {𝕜 : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜] {E : Type.{u3}} [_inst_2 : NormedAddCommGroup.{u3} E] [_inst_3 : NormedSpace.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)] {F : Type.{u4}} [_inst_4 : NormedAddCommGroup.{u4} F] [_inst_5 : NormedSpace.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)] [_inst_11 : CompleteSpace.{u2} 𝕜 (PseudoMetricSpace.toUniformSpace.{u2} 𝕜 (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜 (SeminormedCommRing.toSeminormedRing.{u2} 𝕜 (NormedCommRing.toSeminormedCommRing.{u2} 𝕜 (NormedField.toNormedCommRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))] {X : Type.{u1}} [_inst_12 : TopologicalSpace.{u1} X] [_inst_13 : FiniteDimensional.{u2, u3} 𝕜 E (NormedDivisionRing.toDivisionRing.{u2} 𝕜 (NormedField.toNormedDivisionRing.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))) (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3)] {f : X -> (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5))}, Iff (Continuous.{u1, max u3 u4} X (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) _inst_12 (ContinuousLinearMap.topologicalSpace.{u2, u2, u3, u4} 𝕜 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E F (SeminormedAddCommGroup.toAddCommGroup.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (SeminormedAddCommGroup.toAddCommGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (SeminormedAddCommGroup.to_topologicalAddGroup.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4))) f) (forall (y : E), Continuous.{u1, u4} X ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_12 (UniformSpace.toTopologicalSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (PseudoMetricSpace.toUniformSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) y) _inst_4)))) (fun (x : X) => FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) E F (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u2, u3, u4} (ContinuousLinearMap.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)) 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5) (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u2, u3, u4} 𝕜 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))) (RingHom.id.{u2} 𝕜 (Semiring.toNonAssocSemiring.{u2} 𝕜 (DivisionSemiring.toSemiring.{u2} 𝕜 (Semifield.toDivisionSemiring.{u2} 𝕜 (Field.toSemifield.{u2} 𝕜 (NormedField.toField.{u2} 𝕜 (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1))))))) E (UniformSpace.toTopologicalSpace.{u3} E (PseudoMetricSpace.toUniformSpace.{u3} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2)))) (AddCommGroup.toAddCommMonoid.{u3} E (NormedAddCommGroup.toAddCommGroup.{u3} E _inst_2)) F (UniformSpace.toTopologicalSpace.{u4} F (PseudoMetricSpace.toUniformSpace.{u4} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4)))) (AddCommGroup.toAddCommMonoid.{u4} F (NormedAddCommGroup.toAddCommGroup.{u4} F _inst_4)) (NormedSpace.toModule.{u2, u3} 𝕜 E (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} E _inst_2) _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜 F (NontriviallyNormedField.toNormedField.{u2} 𝕜 _inst_1) (NormedAddCommGroup.toSeminormedAddCommGroup.{u4} F _inst_4) _inst_5)))) (f x) y))
+Case conversion may be inaccurate. Consider using '#align continuous_clm_apply continuous_clm_applyₓ'. -/
 theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by
   simp_rw [continuous_iff_continuousOn_univ, continuousOn_clm_apply]
@@ -625,6 +825,7 @@ section ProperField
 variable (𝕜 : Type u) [NontriviallyNormedField 𝕜] (E : Type v) [NormedAddCommGroup E]
   [NormedSpace 𝕜 E] [ProperSpace 𝕜]
 
+#print FiniteDimensional.proper /-
 /-- Any finite-dimensional vector space over a proper field is proper.
 We do not register this as an instance to avoid an instance loop when trying to prove the
 properness of `𝕜`, and the search for `𝕜` as an unknown metavariable. Declare the instance
@@ -634,16 +835,25 @@ theorem FiniteDimensional.proper [FiniteDimensional 𝕜 E] : ProperSpace E :=
   set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   exact e.symm.antilipschitz.proper_space e.symm.continuous e.symm.surjective
 #align finite_dimensional.proper FiniteDimensional.proper
+-/
 
 end ProperField
 
+#print FiniteDimensional.proper_real /-
 /- Over the real numbers, we can register the previous statement as an instance as it will not
 cause problems in instance resolution since the properness of `ℝ` is already known. -/
 instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAddCommGroup E]
     [NormedSpace ℝ E] [FiniteDimensional ℝ E] : ProperSpace E :=
   FiniteDimensional.proper ℝ E
 #align finite_dimensional.proper_real FiniteDimensional.proper_real
+-/
 
+/- warning: exists_mem_frontier_inf_dist_compl_eq_dist -> exists_mem_frontier_infDist_compl_eq_dist is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {x : E} {s : Set.{u1} E}, (Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) x s) -> (Ne.{succ u1} (Set.{u1} E) s (Set.univ.{u1} E)) -> (Exists.{succ u1} E (fun (y : E) => Exists.{0} (Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) s)) (fun (H : Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) s)) => Eq.{1} Real (Metric.infDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) x (HasCompl.compl.{u1} (Set.{u1} E) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} E) (Set.booleanAlgebra.{u1} E)) s)) (Dist.dist.{u1} E (PseudoMetricSpace.toHasDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) x y))))
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {x : E} {s : Set.{u1} E}, (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x s) -> (Ne.{succ u1} (Set.{u1} E) s (Set.univ.{u1} E)) -> (Exists.{succ u1} E (fun (y : E) => And (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) s)) (Eq.{1} Real (Metric.infDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) x (HasCompl.compl.{u1} (Set.{u1} E) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} E) (Set.instBooleanAlgebraSet.{u1} E)) s)) (Dist.dist.{u1} E (PseudoMetricSpace.toDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) x y))))
+Case conversion may be inaccurate. Consider using '#align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_distₓ'. -/
 /-- If `E` is a finite dimensional normed real vector space, `x : E`, and `s` is a neighborhood of
 `x` that is not equal to the whole space, then there exists a point `y ∈ frontier s` at distance
 `metric.inf_dist x sᶜ` from `x`. See also
@@ -662,6 +872,12 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
   rwa [dist_comm]
 #align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_dist
 
+/- warning: is_compact.exists_mem_frontier_inf_dist_compl_eq_dist -> IsCompact.exists_mem_frontier_infDist_compl_eq_dist is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : Nontrivial.{u1} E] {x : E} {K : Set.{u1} E}, (IsCompact.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) K) -> (Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) x K) -> (Exists.{succ u1} E (fun (y : E) => Exists.{0} (Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) K)) (fun (H : Membership.Mem.{u1, u1} E (Set.{u1} E) (Set.hasMem.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) K)) => Eq.{1} Real (Metric.infDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) x (HasCompl.compl.{u1} (Set.{u1} E) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} E) (Set.booleanAlgebra.{u1} E)) K)) (Dist.dist.{u1} E (PseudoMetricSpace.toHasDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) x y))))
+but is expected to have type
+  forall {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : Nontrivial.{u1} E] {x : E} {K : Set.{u1} E}, (IsCompact.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) K) -> (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) x K) -> (Exists.{succ u1} E (fun (y : E) => And (Membership.mem.{u1, u1} E (Set.{u1} E) (Set.instMembershipSet.{u1} E) y (frontier.{u1} E (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) K)) (Eq.{1} Real (Metric.infDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)) x (HasCompl.compl.{u1} (Set.{u1} E) (BooleanAlgebra.toHasCompl.{u1} (Set.{u1} E) (Set.instBooleanAlgebraSet.{u1} E)) K)) (Dist.dist.{u1} E (PseudoMetricSpace.toDist.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1))) x y))))
+Case conversion may be inaccurate. Consider using '#align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_distₓ'. -/
 /-- If `K` is a compact set in a nontrivial real normed space and `x ∈ K`, then there exists a point
 `y` of the boundary of `K` at distance `metric.inf_dist x Kᶜ` from `x`. See also
 `exists_mem_frontier_inf_dist_compl_eq_dist`. -/
@@ -684,6 +900,12 @@ theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [Normed
     rw [Metric.infDist_zero_of_mem_closure hx'.2, dist_self]
 #align is_compact.exists_mem_frontier_inf_dist_compl_eq_dist IsCompact.exists_mem_frontier_infDist_compl_eq_dist
 
+/- warning: summable_norm_iff -> summable_norm_iff is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u2} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)] {f : α -> E}, Iff (Summable.{0, u1} Real α Real.addCommMonoid (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (x : α) => Norm.norm.{u2} E (NormedAddCommGroup.toHasNorm.{u2} E _inst_1) (f x))) (Summable.{u2, u1} E α (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
+but is expected to have type
+  forall {α : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {f : α -> E}, Iff (Summable.{0, u2} Real α Real.instAddCommMonoidReal (UniformSpace.toTopologicalSpace.{0} Real (PseudoMetricSpace.toUniformSpace.{0} Real Real.pseudoMetricSpace)) (fun (x : α) => Norm.norm.{u1} E (NormedAddCommGroup.toNorm.{u1} E _inst_1) (f x))) (Summable.{u1, u2} E α (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f)
+Case conversion may be inaccurate. Consider using '#align summable_norm_iff summable_norm_iffₓ'. -/
 /-- In a finite dimensional vector space over `ℝ`, the series `∑ x, ‖f x‖` is unconditionally
 summable if and only if the series `∑ x, f x` is unconditionally summable. One implication holds in
 any complete normed space, while the other holds only in finite dimensional spaces. -/
@@ -713,38 +935,66 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
   · exact Finset.sum_nonneg fun _ _ => norm_nonneg _
 #align summable_norm_iff summable_norm_iff
 
-theorem summable_of_is_O' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
+/- warning: summable_of_is_O' -> summable_of_isBigO' is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {E : Type.{u2}} {F : Type.{u3}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u3} F] [_inst_4 : NormedSpace.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u3} Real F Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3) (NormedSpace.toModule.{0, u3} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3) _inst_4)] {f : ι -> E} {g : ι -> F}, (Summable.{u3, u1} F ι (AddCommGroup.toAddCommMonoid.{u3} F (NormedAddCommGroup.toAddCommGroup.{u3} F _inst_3)) (UniformSpace.toTopologicalSpace.{u3} F (PseudoMetricSpace.toUniformSpace.{u3} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u3} F _inst_3)))) g) -> (Asymptotics.IsBigO.{u1, u2, u3} ι E F (NormedAddCommGroup.toHasNorm.{u2} E _inst_1) (NormedAddCommGroup.toHasNorm.{u3} F _inst_3) (Filter.cofinite.{u1} ι) f g) -> (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
+but is expected to have type
+  forall {ι : Type.{u3}} {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u1} F] [_inst_4 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u1} Real F Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3) _inst_4)] {f : ι -> E} {g : ι -> F}, (Summable.{u1, u3} F ι (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3)) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)))) g) -> (Asymptotics.IsBigO.{u3, u2, u1} ι E F (NormedAddCommGroup.toNorm.{u2} E _inst_1) (NormedAddCommGroup.toNorm.{u1} F _inst_3) (Filter.cofinite.{u3} ι) f g) -> (Summable.{u2, u3} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
+Case conversion may be inaccurate. Consider using '#align summable_of_is_O' summable_of_isBigO'ₓ'. -/
+theorem summable_of_isBigO' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
   summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
-#align summable_of_is_O' summable_of_is_O'
-
+#align summable_of_is_O' summable_of_isBigO'
+
+/- warning: summable_of_is_O_nat' -> summable_of_isBigO_nat' is a dubious translation:
+lean 3 declaration is
+  forall {E : Type.{u1}} {F : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : CompleteSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u2} F] [_inst_4 : NormedSpace.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u2} Real F Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_3) (NormedSpace.toModule.{0, u2} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3) _inst_4)] {f : Nat -> E} {g : Nat -> F}, (Summable.{u2, 0} F Nat (AddCommGroup.toAddCommMonoid.{u2} F (NormedAddCommGroup.toAddCommGroup.{u2} F _inst_3)) (UniformSpace.toTopologicalSpace.{u2} F (PseudoMetricSpace.toUniformSpace.{u2} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} F _inst_3)))) g) -> (Asymptotics.IsBigO.{0, u1, u2} Nat E F (NormedAddCommGroup.toHasNorm.{u1} E _inst_1) (NormedAddCommGroup.toHasNorm.{u2} F _inst_3) (Filter.atTop.{0} Nat (PartialOrder.toPreorder.{0} Nat (OrderedCancelAddCommMonoid.toPartialOrder.{0} Nat (StrictOrderedSemiring.toOrderedCancelAddCommMonoid.{0} Nat Nat.strictOrderedSemiring)))) f g) -> (Summable.{u1, 0} E Nat (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f)
+but is expected to have type
+  forall {E : Type.{u2}} {F : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : CompleteSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))] [_inst_3 : NormedAddCommGroup.{u1} F] [_inst_4 : NormedSpace.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)] [_inst_5 : FiniteDimensional.{0, u1} Real F Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3) (NormedSpace.toModule.{0, u1} Real F Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3) _inst_4)] {f : Nat -> E} {g : Nat -> F}, (Summable.{u1, 0} F Nat (AddCommGroup.toAddCommMonoid.{u1} F (NormedAddCommGroup.toAddCommGroup.{u1} F _inst_3)) (UniformSpace.toTopologicalSpace.{u1} F (PseudoMetricSpace.toUniformSpace.{u1} F (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} F (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} F _inst_3)))) g) -> (Asymptotics.IsBigO.{0, u2, u1} Nat E F (NormedAddCommGroup.toNorm.{u2} E _inst_1) (NormedAddCommGroup.toNorm.{u1} F _inst_3) (Filter.atTop.{0} Nat (PartialOrder.toPreorder.{0} Nat (StrictOrderedSemiring.toPartialOrder.{0} Nat Nat.strictOrderedSemiring))) f g) -> (Summable.{u2, 0} E Nat (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
+Case conversion may be inaccurate. Consider using '#align summable_of_is_O_nat' summable_of_isBigO_nat'ₓ'. -/
 theorem summable_of_isBigO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
   summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O_nat' summable_of_isBigO_nat'
 
+/- warning: summable_of_is_equivalent -> summable_of_isEquivalent is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u2} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) g) -> (Asymptotics.IsEquivalent.{u1, u2} ι E _inst_1 (Filter.cofinite.{u1} ι) f g) -> (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f)
+but is expected to have type
+  forall {ι : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) g) -> (Asymptotics.IsEquivalent.{u2, u1} ι E _inst_1 (Filter.cofinite.{u2} ι) f g) -> (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f)
+Case conversion may be inaccurate. Consider using '#align summable_of_is_equivalent summable_of_isEquivalentₓ'. -/
 theorem summable_of_isEquivalent {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (hg : Summable g) (h : f ~[cofinite] g) :
     Summable f :=
-  hg.trans_sub (summable_of_is_O' hg h.IsLittleO.IsBigO)
+  hg.trans_sub (summable_of_isBigO' hg h.IsLittleO.IsBigO)
 #align summable_of_is_equivalent summable_of_isEquivalent
 
+#print summable_of_isEquivalent_nat /-
 theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ℕ → E} {g : ℕ → E} (hg : Summable g) (h : f ~[atTop] g) :
     Summable f :=
   hg.trans_sub (summable_of_isBigO_nat' hg h.IsLittleO.IsBigO)
 #align summable_of_is_equivalent_nat summable_of_isEquivalent_nat
+-/
 
+/- warning: is_equivalent.summable_iff -> IsEquivalent.summable_iff is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {E : Type.{u2}} [_inst_1 : NormedAddCommGroup.{u2} E] [_inst_2 : NormedSpace.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u2} Real E Real.divisionRing (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1) (NormedSpace.toModule.{0, u2} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Asymptotics.IsEquivalent.{u1, u2} ι E _inst_1 (Filter.cofinite.{u1} ι) f g) -> (Iff (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) f) (Summable.{u2, u1} E ι (AddCommGroup.toAddCommMonoid.{u2} E (NormedAddCommGroup.toAddCommGroup.{u2} E _inst_1)) (UniformSpace.toTopologicalSpace.{u2} E (PseudoMetricSpace.toUniformSpace.{u2} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u2} E _inst_1)))) g))
+but is expected to have type
+  forall {ι : Type.{u2}} {E : Type.{u1}} [_inst_1 : NormedAddCommGroup.{u1} E] [_inst_2 : NormedSpace.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)] [_inst_3 : FiniteDimensional.{0, u1} Real E Real.instDivisionRingReal (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1) (NormedSpace.toModule.{0, u1} Real E Real.normedField (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1) _inst_2)] {f : ι -> E} {g : ι -> E}, (Asymptotics.IsEquivalent.{u2, u1} ι E _inst_1 (Filter.cofinite.{u2} ι) f g) -> (Iff (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) f) (Summable.{u1, u2} E ι (AddCommGroup.toAddCommMonoid.{u1} E (NormedAddCommGroup.toAddCommGroup.{u1} E _inst_1)) (UniformSpace.toTopologicalSpace.{u1} E (PseudoMetricSpace.toUniformSpace.{u1} E (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} E (NormedAddCommGroup.toSeminormedAddCommGroup.{u1} E _inst_1)))) g))
+Case conversion may be inaccurate. Consider using '#align is_equivalent.summable_iff IsEquivalent.summable_iffₓ'. -/
 theorem IsEquivalent.summable_iff {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (h : f ~[cofinite] g) :
     Summable f ↔ Summable g :=
   ⟨fun hf => summable_of_isEquivalent hf h.symm, fun hg => summable_of_isEquivalent hg h⟩
 #align is_equivalent.summable_iff IsEquivalent.summable_iff
 
+#print IsEquivalent.summable_iff_nat /-
 theorem IsEquivalent.summable_iff_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ℕ → E} {g : ℕ → E} (h : f ~[atTop] g) : Summable f ↔ Summable g :=
   ⟨fun hf => summable_of_isEquivalent_nat hf h.symm, fun hg => summable_of_isEquivalent_nat hg h⟩
 #align is_equivalent.summable_iff_nat IsEquivalent.summable_iff_nat
+-/
 

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

@@ -271,7 +271,7 @@ theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
 theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
   simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
-  refine' isOpen_bunionᵢ fun t ht => _
+  refine' isOpen_biUnion fun t ht => _
   have : Continuous fun f : E →L[𝕜] F => fun x : (t : Set E) => f x :=
     continuous_pi fun x => (ContinuousLinearMap.apply 𝕜 F (x : E)).Continuous
   exact is_open_set_of_linear_independent.preimage this

mathlib commit https://github.com/leanprover-community/mathlib/commit/8b8ba04e2f326f3f7cf24ad129beda58531ada61

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
+! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -277,66 +277,6 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n
   exact is_open_set_of_linear_independent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
-/-- Two finite-dimensional normed spaces are continuously linearly equivalent if they have the same
-(finite) dimension. -/
-theorem FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq [FiniteDimensional 𝕜 E]
-    [FiniteDimensional 𝕜 F] (cond : finrank 𝕜 E = finrank 𝕜 F) : Nonempty (E ≃L[𝕜] F) :=
-  (nonempty_linearEquiv_of_finrank_eq cond).map LinearEquiv.toContinuousLinearEquiv
-#align finite_dimensional.nonempty_continuous_linear_equiv_of_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq
-
-/-- Two finite-dimensional normed spaces are continuously linearly equivalent if and only if they
-have the same (finite) dimension. -/
-theorem FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq [FiniteDimensional 𝕜 E]
-    [FiniteDimensional 𝕜 F] : Nonempty (E ≃L[𝕜] F) ↔ finrank 𝕜 E = finrank 𝕜 F :=
-  ⟨fun ⟨h⟩ => h.toLinearEquiv.finrank_eq, fun h =>
-    FiniteDimensional.nonempty_continuousLinearEquiv_of_finrank_eq h⟩
-#align finite_dimensional.nonempty_continuous_linear_equiv_iff_finrank_eq FiniteDimensional.nonempty_continuousLinearEquiv_iff_finrank_eq
-
-/-- A continuous linear equivalence between two finite-dimensional normed spaces of the same
-(finite) dimension. -/
-def ContinuousLinearEquiv.ofFinrankEq [FiniteDimensional 𝕜 E] [FiniteDimensional 𝕜 F]
-    (cond : finrank 𝕜 E = finrank 𝕜 F) : E ≃L[𝕜] F :=
-  (LinearEquiv.ofFinrankEq E F cond).toContinuousLinearEquiv
-#align continuous_linear_equiv.of_finrank_eq ContinuousLinearEquiv.ofFinrankEq
-
-variable {ι : Type _} [Fintype ι]
-
-/-- Construct a continuous linear map given the value at a finite basis. -/
-def Basis.constrL (v : Basis ι 𝕜 E) (f : ι → F) : E →L[𝕜] F :=
-  haveI : FiniteDimensional 𝕜 E := FiniteDimensional.of_fintype_basis v
-  (v.constr 𝕜 f).toContinuousLinearMap
-#align basis.constrL Basis.constrL
-
-@[simp, norm_cast]
-theorem Basis.coe_constrL (v : Basis ι 𝕜 E) (f : ι → F) :
-    (v.constrL f : E →ₗ[𝕜] F) = v.constr 𝕜 f :=
-  rfl
-#align basis.coe_constrL Basis.coe_constrL
-
-/-- The continuous linear equivalence between a vector space over `𝕜` with a finite basis and
-functions from its basis indexing type to `𝕜`. -/
-def Basis.equivFunL (v : Basis ι 𝕜 E) : E ≃L[𝕜] ι → 𝕜 :=
-  {
-    v.equivFun with
-    continuous_toFun :=
-      haveI : FiniteDimensional 𝕜 E := FiniteDimensional.of_fintype_basis v
-      v.equiv_fun.to_linear_map.continuous_of_finite_dimensional
-    continuous_invFun := by
-      change Continuous v.equiv_fun.symm.to_fun
-      exact v.equiv_fun.symm.to_linear_map.continuous_of_finite_dimensional }
-#align basis.equiv_funL Basis.equivFunL
-
-@[simp]
-theorem Basis.constrL_apply (v : Basis ι 𝕜 E) (f : ι → F) (e : E) :
-    (v.constrL f) e = ∑ i, v.equivFun e i • f i :=
-  v.constr_apply_fintype 𝕜 _ _
-#align basis.constrL_apply Basis.constrL_apply
-
-@[simp]
-theorem Basis.constrL_basis (v : Basis ι 𝕜 E) (f : ι → F) (i : ι) : (v.constrL f) (v i) = f i :=
-  v.constr_basis 𝕜 _ _
-#align basis.constrL_basis Basis.constrL_basis
-
 theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
   u.op_nnnorm_le_bound _ fun e =>

mathlib commit https://github.com/leanprover-community/mathlib/commit/039ef89bef6e58b32b62898dd48e9d1a4312bb65

@@ -776,25 +776,25 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
 theorem summable_of_is_O' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
-  summable_of_isO (summable_norm_iff.mpr hg) h.norm_right
+  summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
 #align summable_of_is_O' summable_of_is_O'
 
-theorem summable_of_isO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
+theorem summable_of_isBigO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
-  summable_of_isO_nat (summable_norm_iff.mpr hg) h.norm_right
-#align summable_of_is_O_nat' summable_of_isO_nat'
+  summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
+#align summable_of_is_O_nat' summable_of_isBigO_nat'
 
 theorem summable_of_isEquivalent {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (hg : Summable g) (h : f ~[cofinite] g) :
     Summable f :=
-  hg.trans_sub (summable_of_is_O' hg h.IsOCat.IsO)
+  hg.trans_sub (summable_of_is_O' hg h.IsLittleO.IsBigO)
 #align summable_of_is_equivalent summable_of_isEquivalent
 
 theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ℕ → E} {g : ℕ → E} (hg : Summable g) (h : f ~[atTop] g) :
     Summable f :=
-  hg.trans_sub (summable_of_isO_nat' hg h.IsOCat.IsO)
+  hg.trans_sub (summable_of_isBigO_nat' hg h.IsLittleO.IsBigO)
 #align summable_of_is_equivalent_nat summable_of_isEquivalent_nat
 
 theorem IsEquivalent.summable_iff {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]

mathlib commit https://github.com/leanprover-community/mathlib/commit/e05ead7993520a432bec94ac504842d90707ad63

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit 5ec62c8106221a3f9160e4e4fcc3eed79fe213e9
+! leanprover-community/mathlib commit b1c23399f01266afe392a0d8f71f599a0dad4f7b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,7 +13,6 @@ import Mathbin.Analysis.NormedSpace.AddTorsor
 import Mathbin.Analysis.NormedSpace.AffineIsometry
 import Mathbin.Analysis.NormedSpace.OperatorNorm
 import Mathbin.Analysis.NormedSpace.RieszLemma
-import Mathbin.LinearAlgebra.Matrix.ToLin
 import Mathbin.Topology.Algebra.Module.FiniteDimension
 import Mathbin.Topology.Algebra.InfiniteSum.Module
 import Mathbin.Topology.Instances.Matrix

mathlib commit https://github.com/leanprover-community/mathlib/commit/5ec62c8106221a3f9160e4e4fcc3eed79fe213e9

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit be2ac64be57e8319fcd5c5547f3a8d9412daf5ec
+! leanprover-community/mathlib commit 5ec62c8106221a3f9160e4e4fcc3eed79fe213e9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -440,7 +440,7 @@ variable (𝕜 E)
 
 theorem FiniteDimensional.complete [FiniteDimensional 𝕜 E] : CompleteSpace E :=
   by
-  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ (finrank 𝕜 E)).symm
+  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   have : UniformEmbedding e.to_linear_equiv.to_equiv.symm := e.symm.uniform_embedding
   exact (completeSpace_congr this).1 (by infer_instance)
 #align finite_dimensional.complete FiniteDimensional.complete
@@ -692,7 +692,7 @@ properness of `𝕜`, and the search for `𝕜` as an unknown metavariable. Decl
 explicitly when needed. -/
 theorem FiniteDimensional.proper [FiniteDimensional 𝕜 E] : ProperSpace E :=
   by
-  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ (finrank 𝕜 E)).symm
+  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   exact e.symm.antilipschitz.proper_space e.symm.continuous e.symm.surjective
 #align finite_dimensional.proper FiniteDimensional.proper
 

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 
 ! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit 32253a1a1071173b33dc7d6a218cf722c6feb514
+! leanprover-community/mathlib commit be2ac64be57e8319fcd5c5547f3a8d9412daf5ec
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -269,9 +269,9 @@ theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
   isOpen_iff_mem_nhds.2 fun f => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
 
-theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ rank (f : E →ₗ[𝕜] F) } :=
+theorem isOpen_setOf_nat_le_rank (n : ℕ) : IsOpen { f : E →L[𝕜] F | ↑n ≤ (f : E →ₗ[𝕜] F).rank } :=
   by
-  simp only [le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
+  simp only [LinearMap.le_rank_iff_exists_linearIndependent_finset, set_of_exists, ← exists_prop]
   refine' isOpen_bunionᵢ fun t ht => _
   have : Continuous fun f : E →L[𝕜] F => fun x : (t : Set E) => f x :=
     continuous_pi fun x => (ContinuousLinearMap.apply 𝕜 F (x : E)).Continuous

mathlib commit https://github.com/leanprover-community/mathlib/commit/3cacc945118c8c637d89950af01da78307f59325

@@ -178,7 +178,7 @@ theorem ContinuousLinearMap.continuous_det : Continuous fun f : E →L[𝕜] E =
     refine' Continuous.matrix_det _
     exact
       ((LinearMap.toMatrix b b).toLinearMap.comp
-          (ContinuousLinearMap.coeLm 𝕜)).continuous_of_finiteDimensional
+          (ContinuousLinearMap.coeLM 𝕜)).continuous_of_finiteDimensional
   · unfold LinearMap.det
     simpa only [h, MonoidHom.one_apply, dif_neg, not_false_iff] using continuous_const
 #align continuous_linear_map.continuous_det ContinuousLinearMap.continuous_det

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

@@ -593,7 +593,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [Topologic
     isCompact_of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
   exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
-#align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finite_dimensional
+#align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 
 end Riesz
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/195fcd60ff2bfe392543bceb0ec2adcdb472db4c

@@ -391,7 +391,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
   suffices :
     ∀ ε > (0 : ℝ), ∃ n : (E →L[𝕜] F) → Fin d → ℕ, ∀ f g : E →L[𝕜] F, n f = n g → dist f g ≤ ε
   exact
-    Metric.second_countable_of_countable_discretization fun ε ε_pos =>
+    Metric.secondCountable_of_countable_discretization fun ε ε_pos =>
       ⟨Fin d → ℕ, by infer_instance, this ε ε_pos⟩
   intro ε ε_pos
   obtain ⟨u : ℕ → F, hu : DenseRange u⟩ := exists_dense_seq F

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

@@ -346,17 +346,17 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
     calc
       ‖u e‖₊ = ‖u (∑ i, v.equiv_fun e i • v i)‖₊ := by rw [v.sum_equiv_fun]
       _ = ‖∑ i, v.equiv_fun e i • (u <| v i)‖₊ := by simp [u.map_sum, LinearMap.map_smul]
-      _ ≤ ∑ i, ‖v.equiv_fun e i • (u <| v i)‖₊ := nnnorm_sum_le _ _
+      _ ≤ ∑ i, ‖v.equiv_fun e i • (u <| v i)‖₊ := (nnnorm_sum_le _ _)
       _ = ∑ i, ‖v.equiv_fun e i‖₊ * ‖u (v i)‖₊ := by simp only [nnnorm_smul]
       _ ≤ ∑ i, ‖v.equiv_fun e i‖₊ * M :=
-        Finset.sum_le_sum fun i hi => mul_le_mul_of_nonneg_left (hu i) (zero_le _)
+        (Finset.sum_le_sum fun i hi => mul_le_mul_of_nonneg_left (hu i) (zero_le _))
       _ = (∑ i, ‖v.equiv_fun e i‖₊) * M := finset.sum_mul.symm
       _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M :=
-        suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
+        (suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
         calc
           (∑ i, ‖v.equiv_fun e i‖₊) ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _
-          
+          )
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
       
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
@@ -652,7 +652,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
       rw [← nsmul_eq_mul]
       apply op_norm_le_bound _ (nsmul_nonneg (norm_nonneg g) (Fintype.card ι)) fun t => _
       simp_rw [LinearMap.coe_comp, LinearEquiv.coe_toLinearMap, Function.comp_apply,
-        LinearMap.coe_to_continuous_linear_map', LinearEquiv.piRing_symmApply]
+        LinearMap.coe_to_continuous_linear_map', LinearEquiv.piRing_symm_apply]
       apply le_trans (norm_sum_le _ _)
       rw [smul_mul_assoc]
       refine' Finset.sum_le_card_nsmul _ _ _ fun i hi => _

mathlib commit https://github.com/leanprover-community/mathlib/commit/9da1b3534b65d9661eb8f42443598a92bbb49211

@@ -610,7 +610,7 @@ theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : f.
 theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
     (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
     ∃ g : F →L[𝕜] E, f.comp g = ContinuousLinearMap.id 𝕜 F :=
-  let ⟨g, hg⟩ := (f : E →ₗ[𝕜] F).exists_right_inverse_of_surjective hf
+  let ⟨g, hg⟩ := (f : E →ₗ[𝕜] F).exists_rightInverse_of_surjective hf
   ⟨g.toContinuousLinearMap, ContinuousLinearMap.ext <| LinearMap.ext_iff.1 hg⟩
 #align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
 

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

Occasionally, remove a "deprecated by" or "deprecated since", to fit the line length.

This is desirable (to me) because

• it's more compact: I don't see a good reason for these declarations taking up more space than needed; as I understand it, deprecated lemmas are not supposed to be used in mathlib anyway
• putting the date on the same line as the attribute makes it easier to discover un-dated deprecations; they also ease writing a tool to replace these by a machine-readable version using leanprover/lean4#3968

@@ -312,9 +312,7 @@ theorem Basis.opNNNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.opNNNorm_le
 
-@[deprecated]
-alias Basis.op_nnnorm_le :=
-  Basis.opNNNorm_le -- deprecated on 2024-02-02
+@[deprecated] alias Basis.op_nnnorm_le := Basis.opNNNorm_le -- deprecated on 2024-02-02
 
 theorem Basis.opNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
@@ -322,9 +320,7 @@ theorem Basis.opNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E 
   simpa using NNReal.coe_le_coe.mpr (v.opNNNorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.opNorm_le
 
-@[deprecated]
-alias Basis.op_norm_le :=
-  Basis.opNorm_le -- deprecated on 2024-02-02
+@[deprecated] alias Basis.op_norm_le := Basis.opNorm_le -- deprecated on 2024-02-02
 
 /-- A weaker version of `Basis.opNNNorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_opNNNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
@@ -336,9 +332,7 @@ theorem Basis.exists_opNNNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E)
       (v.opNNNorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
 #align basis.exists_op_nnnorm_le Basis.exists_opNNNorm_le
 
-@[deprecated]
-alias Basis.exists_op_nnnorm_le :=
-  Basis.exists_opNNNorm_le -- deprecated on 2024-02-02
+@[deprecated] alias Basis.exists_op_nnnorm_le := Basis.exists_opNNNorm_le -- 2024-02-02
 
 /-- A weaker version of `Basis.opNorm_le` that abstracts away the value of `C`. -/
 theorem Basis.exists_opNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
@@ -350,9 +344,7 @@ theorem Basis.exists_opNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
   simpa using h ⟨M, hM⟩ H
 #align basis.exists_op_norm_le Basis.exists_opNorm_le
 
-@[deprecated]
-alias Basis.exists_op_norm_le :=
-  Basis.exists_opNorm_le -- deprecated on 2024-02-02
+@[deprecated] alias Basis.exists_op_norm_le := Basis.exists_opNorm_le -- deprecated on 2024-02-02
 
 instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     SecondCountableTopology (E →L[𝕜] F) := by

• consistently use the YYYY-MM-DD format
• when easily possible, put the date on the same line as the deprecated attribute
• when easily possible, format the entire declaration on the same line

Why these changes?

• consistency makes it easier for tools to parse this information
• compactness: I don't see a good reason for these declarations taking up more space than needed; as I understand it, deprecated lemmas are not supposed to be used in mathlib anyway
• putting the date on the same line as the attribute makes it easier to discover un-dated deprecations; they also ease writing a tool to replace these by a machine-readable version using leanprover/lean4#3968

@@ -493,7 +493,7 @@ theorem FiniteDimensional.of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
 #align finite_dimensional_of_is_compact_closed_ball₀ FiniteDimensional.of_isCompact_closedBall₀
 
-@[deprecated] -- Since 2024/02/02
+@[deprecated] -- Since 2024-02-02
 alias finiteDimensional_of_isCompact_closedBall₀ := FiniteDimensional.of_isCompact_closedBall₀
 
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
@@ -503,7 +503,7 @@ theorem FiniteDimensional.of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c :
   .of_isCompact_closedBall₀ 𝕜 rpos <| by simpa using h.vadd (-c)
 #align finite_dimensional_of_is_compact_closed_ball FiniteDimensional.of_isCompact_closedBall
 
-@[deprecated] -- Since 2024/02/02
+@[deprecated] -- Since 2024-02-02
 alias finiteDimensional_of_isCompact_closedBall := FiniteDimensional.of_isCompact_closedBall
 
 /-- **Riesz's theorem**: a locally compact normed vector space is finite-dimensional. -/
@@ -512,7 +512,7 @@ theorem FiniteDimensional.of_locallyCompactSpace [LocallyCompactSpace E] :
   let ⟨_r, rpos, hr⟩ := exists_isCompact_closedBall (0 : E)
   .of_isCompact_closedBall₀ 𝕜 rpos hr
 
-@[deprecated] -- Since 2024/02/02
+@[deprecated] -- Since 2024-02-02
 alias finiteDimensional_of_locallyCompactSpace := FiniteDimensional.of_locallyCompactSpace
 
 /-- If a function has compact support, then either the function is trivial
@@ -548,7 +548,7 @@ lemma ProperSpace.of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField
     Tendsto.atTop_mul_const rpos (tendsto_pow_atTop_atTop_of_one_lt hc)
   exact .of_seq_closedBall hTop (eventually_of_forall hC)
 
-@[deprecated] -- Since 2024/01/31
+@[deprecated] -- Since 2024-01-31
 alias properSpace_of_locallyCompactSpace := ProperSpace.of_locallyCompactSpace
 
 variable (E)
@@ -561,7 +561,7 @@ lemma ProperSpace.of_locallyCompact_module [Nontrivial E] [LocallyCompactSpace E
     apply ClosedEmbedding.locallyCompactSpace this
   .of_locallyCompactSpace 𝕜
 
-@[deprecated] -- Since 2024/01/31
+@[deprecated] -- Since 2024-01-31
 alias properSpace_of_locallyCompact_module := ProperSpace.of_locallyCompact_module
 
 end Riesz

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

@@ -300,7 +300,7 @@ theorem Basis.opNNNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E
     calc
       ‖u e‖₊ = ‖u (∑ i, v.equivFun e i • v i)‖₊ := by rw [v.sum_equivFun]
       _ = ‖∑ i, v.equivFun e i • (u <| v i)‖₊ := by simp [u.map_sum, LinearMap.map_smul]
-      _ ≤ ∑ i, ‖v.equivFun e i • (u <| v i)‖₊ := (nnnorm_sum_le _ _)
+      _ ≤ ∑ i, ‖v.equivFun e i • (u <| v i)‖₊ := nnnorm_sum_le _ _
       _ = ∑ i, ‖v.equivFun e i‖₊ * ‖u (v i)‖₊ := by simp only [nnnorm_smul]
       _ ≤ ∑ i, ‖v.equivFun e i‖₊ * M := by gcongr; apply hu
       _ = (∑ i, ‖v.equivFun e i‖₊) * M := by rw [Finset.sum_mul]

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

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

| Statement | New name | Old name | |

@@ -386,7 +386,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C) := by simp [hn]
     have : C * (ε / (2 * C)) = ε / 2 := by
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
-        mul_div_cancel' _ (ne_of_gt h_2C)]
+        mul_div_cancel₀ _ (ne_of_gt h_2C)]
     specialize hC (le_of_lt hε2C) hn
     rwa [this] at hC
   choose n hn using this

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -59,9 +59,7 @@ namespace LinearIsometry
 open LinearMap
 
 variable {R : Type*} [Semiring R]
-
 variable {F E₁ : Type*} [SeminormedAddCommGroup F] [NormedAddCommGroup E₁] [Module R E₁]
-
 variable {R₁ : Type*} [Field R₁] [Module R₁ E₁] [Module R₁ F] [FiniteDimensional R₁ E₁]
   [FiniteDimensional R₁ F]
 

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

@@ -398,7 +398,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
   intro x y hxy
   calc
     dist x y ≤ dist x (Φ x) + dist (Φ x) y := dist_triangle _ _ _
-    _ = dist x (Φ x) + dist y (Φ y) := by simp [hxy, dist_comm]
+    _ = dist x (Φ x) + dist y (Φ y) := by simp [Φ, hxy, dist_comm]
     _ ≤ ε := by linarith [hn x, hn y]
 
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type*} [MetricSpace P]
@@ -474,7 +474,7 @@ theorem FiniteDimensional.of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
   let g := fun n : ℕ => c • f n
   have A : ∀ n, g n ∈ Metric.closedBall (0 : E) r := by
     intro n
-    simp only [norm_smul, dist_zero_right, Metric.mem_closedBall]
+    simp only [g, norm_smul, dist_zero_right, Metric.mem_closedBall]
     calc
       ‖c‖ * ‖f n‖ ≤ r / R * R := by gcongr; exact hc.2.le; apply fle
       _ = r := by field_simp [(zero_lt_one.trans Rgt).ne']
@@ -488,7 +488,7 @@ theorem FiniteDimensional.of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
   calc
     ‖c‖ ≤ dist (g (φ (N + 1))) (g (φ N)) := by
       conv_lhs => rw [← mul_one ‖c‖]
-      simp only [dist_eq_norm, ← smul_sub, norm_smul]
+      simp only [g, dist_eq_norm, ← smul_sub, norm_smul]
       gcongr
       apply lef (ne_of_gt _)
       exact φmono (Nat.lt_succ_self N)

Split the 2300-line behemoth OperatorNorm.lean into 8 smaller files, of which the largest is 600 lines.

@@ -4,11 +4,10 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
-import Mathlib.Analysis.Normed.Group.AddTorsor
 import Mathlib.Analysis.Normed.Group.Lemmas
 import Mathlib.Analysis.NormedSpace.AddTorsor
 import Mathlib.Analysis.NormedSpace.AffineIsometry
-import Mathlib.Analysis.NormedSpace.OperatorNorm
+import Mathlib.Analysis.NormedSpace.OperatorNorm.NormedSpace
 import Mathlib.Analysis.NormedSpace.RieszLemma
 import Mathlib.Analysis.NormedSpace.Pointwise
 import Mathlib.Topology.Algebra.Module.FiniteDimension

I replaced a few "terminal" refine/refine's with exact.

The strategy was very simple-minded: essentially any refine whose following line had smaller indentation got replaced by exact and then I cleaned up the mess.

This PR certainly leaves some further terminal refines, but maybe the current change is beneficial.

@@ -217,7 +217,7 @@ theorem LipschitzOnWith.extend_finite_dimension {α : Type*} [PseudoMetricSpace
       apply A.symm.lipschitz
     apply (LAsymm.comp hg).weaken
     rw [lipschitzExtensionConstant, ← mul_assoc]
-    refine' mul_le_mul' (le_max_left _ _) le_rfl
+    exact mul_le_mul' (le_max_left _ _) le_rfl
   · intro x hx
     have : A (f x) = g x := gs hx
     simp only [(· ∘ ·), ← this, A.symm_apply_apply]
@@ -425,7 +425,7 @@ theorem exists_norm_le_le_norm_sub_of_finset {c : 𝕜} (hc : 1 < ‖c‖) {R :
       ext x
       simp [h]
     have : FiniteDimensional 𝕜 (⊤ : Submodule 𝕜 E) := by rwa [this]
-    refine' Module.finite_def.2 ((Submodule.fg_top _).1 (Module.finite_def.1 this))
+    exact Module.finite_def.2 ((Submodule.fg_top _).1 (Module.finite_def.1 this))
   obtain ⟨x, xR, hx⟩ : ∃ x : E, ‖x‖ ≤ R ∧ ∀ y : E, y ∈ F → 1 ≤ ‖x - y‖ :=
     riesz_lemma_of_norm_lt hc hR Fclosed this
   have hx' : ∀ y : E, y ∈ F → 1 ≤ ‖y - x‖ := by

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

This follows on from #6964.

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

@@ -267,8 +267,8 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
       Tendsto.norm <| ((continuous_apply i).tendsto _).sub tendsto_const_nhds
   simp only [sub_self, norm_zero, Finset.sum_const_zero] at this
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
-  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹
-  · rw [← NNReal.coe_lt_coe]
+  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹ := by
+    rw [← NNReal.coe_lt_coe]
     push_cast
     exact hg
   rw [LinearMap.ker_eq_bot]
@@ -386,8 +386,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
       exact ⟨n, le_of_lt hn⟩
     choose n hn using this
     use n
-    replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C)
-    · simp [hn]
+    replace hn : ∀ i : Fin d, ‖(φ - (v.constrL <| u ∘ n)) (v i)‖ ≤ ε / (2 * C) := by simp [hn]
     have : C * (ε / (2 * C)) = ε / 2 := by
       rw [eq_div_iff (two_ne_zero : (2 : ℝ) ≠ 0), mul_comm, ← mul_assoc,
         mul_div_cancel' _ (ne_of_gt h_2C)]

in finite-dimensional spaces over a complete field. This is used to showing that immersions are open. NB: this result is false for general continuous maps (only surjectivity is open there).

From the sphere-eversion project.

@@ -5,6 +5,7 @@ Authors: Sébastien Gouëzel
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathlib.Analysis.Normed.Group.AddTorsor
+import Mathlib.Analysis.Normed.Group.Lemmas
 import Mathlib.Analysis.NormedSpace.AddTorsor
 import Mathlib.Analysis.NormedSpace.AffineIsometry
 import Mathlib.Analysis.NormedSpace.OperatorNorm
@@ -231,6 +232,31 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
     exact ⟨_, e.nnnorm_symm_pos, e.antilipschitz⟩
 #align linear_map.exists_antilipschitz_with LinearMap.exists_antilipschitzWith
 
+open Function in
+/-- A `LinearMap` on a finite-dimensional space over a complete field
+  is injective iff it is anti-Lipschitz. -/
+theorem LinearMap.injective_iff_antilipschitz [FiniteDimensional 𝕜 E] (f : E →ₗ[𝕜] F) :
+    Injective f ↔ ∃ K > 0, AntilipschitzWith K f := by
+  constructor
+  · rw [← LinearMap.ker_eq_bot]
+    exact f.exists_antilipschitzWith
+  · rintro ⟨K, -, H⟩
+    exact H.injective
+
+open Function in
+/-- The set of injective continuous linear maps `E → F` is open,
+  if `E` is finite-dimensional over a complete field. -/
+theorem ContinuousLinearMap.isOpen_injective [FiniteDimensional 𝕜 E] :
+    IsOpen { L : E →L[𝕜] F | Injective L } := by
+  rw [isOpen_iff_eventually]
+  rintro φ₀ hφ₀
+  rcases φ₀.injective_iff_antilipschitz.mp hφ₀ with ⟨K, K_pos, H⟩
+  have : ∀ᶠ φ in 𝓝 φ₀, ‖φ - φ₀‖₊ < K⁻¹ := eventually_nnnorm_sub_lt _ <| inv_pos_of_pos K_pos
+  filter_upwards [this] with φ hφ
+  apply φ.injective_iff_antilipschitz.mpr
+  exact ⟨(K⁻¹ - ‖φ - φ₀‖₊)⁻¹, inv_pos_of_pos (tsub_pos_of_lt hφ),
+    H.add_sub_lipschitzWith (φ - φ₀).lipschitz hφ⟩
+
 protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g := by
   cases nonempty_fintype ι

Reuse HasCompactSupport.eq_zero_or_locallyCompactSpace_of_addGroup in the proof of HasCompactSupport.eq_zero_or_finiteDimensional.

@@ -493,30 +493,25 @@ theorem FiniteDimensional.of_locallyCompactSpace [LocallyCompactSpace E] :
 @[deprecated] -- Since 2024/02/02
 alias finiteDimensional_of_locallyCompactSpace := FiniteDimensional.of_locallyCompactSpace
 
-/-- If a function has compact multiplicative support, then either the function is trivial or the
-space is finite-dimensional. -/
-@[to_additive
-      "If a function has compact support, then either the function is trivial or the space is
-      finite-dimensional."]
+/-- If a function has compact support, then either the function is trivial
+or the space is finite-dimensional. -/
+theorem HasCompactSupport.eq_zero_or_finiteDimensional {X : Type*} [TopologicalSpace X] [Zero X]
+    [T1Space X] {f : E → X} (hf : HasCompactSupport f) (h'f : Continuous f) :
+    f = 0 ∨ FiniteDimensional 𝕜 E :=
+  (HasCompactSupport.eq_zero_or_locallyCompactSpace_of_addGroup hf h'f).imp_right fun h ↦
+    -- TODO: Lean doesn't find the instance without this `have`
+    have : LocallyCompactSpace E := h; .of_locallyCompactSpace 𝕜
+#align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
+
+/-- If a function has compact multiplicative support, then either the function is trivial
+or the space is finite-dimensional. -/
+@[to_additive existing]
 theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [TopologicalSpace X] [One X]
-    [T2Space X] {f : E → X} (hf : HasCompactMulSupport f) (h'f : Continuous f) :
-    f = 1 ∨ FiniteDimensional 𝕜 E := by
-  by_cases h : ∀ x, f x = 1
-  · apply Or.inl
-    ext x
-    exact h x
-  apply Or.inr
-  push_neg at h
-  obtain ⟨x, hx⟩ : ∃ x, f x ≠ 1 := h
-  have : Function.mulSupport f ∈ 𝓝 x := h'f.isOpen_mulSupport.mem_nhds hx
-  -- Porting note: moved type ascriptions because of exists_prop changes
-  obtain ⟨r : ℝ, rpos : 0 < r, hr : Metric.closedBall x r ⊆ Function.mulSupport f⟩ :=
-    Metric.nhds_basis_closedBall.mem_iff.1 this
-  have : IsCompact (Metric.closedBall x r) :=
-    hf.of_isClosed_subset Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
-  exact .of_isCompact_closedBall 𝕜 rpos this
+    [T1Space X] {f : E → X} (hf : HasCompactMulSupport f) (h'f : Continuous f) :
+    f = 1 ∨ FiniteDimensional 𝕜 E :=
+  have : T1Space (Additive X) := ‹_›
+  HasCompactSupport.eq_zero_or_finiteDimensional (X := Additive X) 𝕜 hf h'f
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
-#align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 
 /-- A locally compact normed vector space is proper. -/
 lemma ProperSpace.of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField 𝕜]

Following these Zulip discussions, I realised that my deprecation script produced a deprecation syntax that did not allow for auto-replacement in Sébastien's #10185.

This PR fixes the deprecation statements, allowing self-correction: 119 times I replaced

@[deprecated xxx] --> @[deprecated].

@@ -289,7 +289,7 @@ theorem Basis.opNNNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.opNNNorm_le
 
-@[deprecated Basis.opNNNorm_le]
+@[deprecated]
 alias Basis.op_nnnorm_le :=
   Basis.opNNNorm_le -- deprecated on 2024-02-02
 
@@ -299,7 +299,7 @@ theorem Basis.opNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E 
   simpa using NNReal.coe_le_coe.mpr (v.opNNNorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.opNorm_le
 
-@[deprecated Basis.opNorm_le]
+@[deprecated]
 alias Basis.op_norm_le :=
   Basis.opNorm_le -- deprecated on 2024-02-02
 
@@ -313,7 +313,7 @@ theorem Basis.exists_opNNNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E)
       (v.opNNNorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
 #align basis.exists_op_nnnorm_le Basis.exists_opNNNorm_le
 
-@[deprecated Basis.exists_opNNNorm_le]
+@[deprecated]
 alias Basis.exists_op_nnnorm_le :=
   Basis.exists_opNNNorm_le -- deprecated on 2024-02-02
 
@@ -327,7 +327,7 @@ theorem Basis.exists_opNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
   simpa using h ⟨M, hM⟩ H
 #align basis.exists_op_norm_le Basis.exists_opNorm_le
 
-@[deprecated Basis.exists_opNorm_le]
+@[deprecated]
 alias Basis.exists_op_norm_le :=
   Basis.exists_opNorm_le -- deprecated on 2024-02-02
 

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
+import Mathlib.Analysis.Normed.Group.AddTorsor
 import Mathlib.Analysis.NormedSpace.AddTorsor
 import Mathlib.Analysis.NormedSpace.AffineIsometry
 import Mathlib.Analysis.NormedSpace.OperatorNorm

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

@@ -269,9 +269,9 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) :
   exact isOpen_setOf_linearIndependent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
-theorem Basis.op_nnnorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
+theorem Basis.opNNNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
-  u.op_nnnorm_le_bound _ fun e => by
+  u.opNNNorm_le_bound _ fun e => by
     set φ := v.equivFunL.toContinuousLinearMap
     calc
       ‖u e‖₊ = ‖u (∑ i, v.equivFun e i • v i)‖₊ := by rw [v.sum_equivFun]
@@ -284,35 +284,51 @@ theorem Basis.op_nnnorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u :
         gcongr
         calc
           ∑ i, ‖v.equivFun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
-          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_right (φ.le_op_nnnorm e) _
+          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_right (φ.le_opNNNorm e) _
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
-#align basis.op_nnnorm_le Basis.op_nnnorm_le
+#align basis.op_nnnorm_le Basis.opNNNorm_le
 
-theorem Basis.op_norm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
+@[deprecated Basis.opNNNorm_le]
+alias Basis.op_nnnorm_le :=
+  Basis.opNNNorm_le -- deprecated on 2024-02-02
+
+theorem Basis.opNorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
-  simpa using NNReal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
-#align basis.op_norm_le Basis.op_norm_le
+  simpa using NNReal.coe_le_coe.mpr (v.opNNNorm_le ⟨M, hM⟩ hu)
+#align basis.op_norm_le Basis.opNorm_le
+
+@[deprecated Basis.opNorm_le]
+alias Basis.op_norm_le :=
+  Basis.opNorm_le -- deprecated on 2024-02-02
 
-/-- A weaker version of `Basis.op_nnnorm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_nnnorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
+/-- A weaker version of `Basis.opNNNorm_le` that abstracts away the value of `C`. -/
+theorem Basis.exists_opNNNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
   cases nonempty_fintype ι
   exact
     ⟨max (Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊) 1,
       zero_lt_one.trans_le (le_max_right _ _), fun {u} M hu =>
-      (v.op_nnnorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
-#align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
+      (v.opNNNorm_le M hu).trans <| mul_le_mul_of_nonneg_right (le_max_left _ _) (zero_le M)⟩
+#align basis.exists_op_nnnorm_le Basis.exists_opNNNorm_le
 
-/-- A weaker version of `Basis.op_norm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_norm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
+@[deprecated Basis.exists_opNNNorm_le]
+alias Basis.exists_op_nnnorm_le :=
+  Basis.exists_opNNNorm_le -- deprecated on 2024-02-02
+
+/-- A weaker version of `Basis.opNorm_le` that abstracts away the value of `C`. -/
+theorem Basis.exists_opNorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M := by
-  obtain ⟨C, hC, h⟩ := v.exists_op_nnnorm_le (F := F)
+  obtain ⟨C, hC, h⟩ := v.exists_opNNNorm_le (F := F)
   -- Porting note: used `Subtype.forall'` below
   refine ⟨C, hC, ?_⟩
   intro u M hM H
   simpa using h ⟨M, hM⟩ H
-#align basis.exists_op_norm_le Basis.exists_op_norm_le
+#align basis.exists_op_norm_le Basis.exists_opNorm_le
+
+@[deprecated Basis.exists_opNorm_le]
+alias Basis.exists_op_norm_le :=
+  Basis.exists_opNorm_le -- deprecated on 2024-02-02
 
 instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     SecondCountableTopology (E →L[𝕜] F) := by
@@ -327,7 +343,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
   obtain
     ⟨C : ℝ, C_pos : 0 < C, hC :
       ∀ {φ : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖φ (v i)‖ ≤ M) → ‖φ‖ ≤ C * M⟩ :=
-    v.exists_op_norm_le (E := E) (F := F)
+    v.exists_opNorm_le (E := E) (F := F)
   have h_2C : 0 < 2 * C := mul_pos zero_lt_two C_pos
   have hε2C : 0 < ε / (2 * C) := div_pos ε_pos h_2C
   have : ∀ φ : E →L[𝕜] F, ∃ n : Fin d → ℕ, ‖φ - (v.constrL <| u ∘ n)‖ ≤ ε / 2 := by
@@ -551,7 +567,7 @@ def ContinuousLinearEquiv.piRing (ι : Type*) [Fintype ι] [DecidableEq ι] :
             (LinearEquiv.piRing 𝕜 E ι 𝕜).symm.toLinearMap)
         (Fintype.card ι : ℝ) fun g => ?_
       rw [← nsmul_eq_mul]
-      refine op_norm_le_bound _ (nsmul_nonneg (norm_nonneg g) (Fintype.card ι)) fun t => ?_
+      refine opNorm_le_bound _ (nsmul_nonneg (norm_nonneg g) (Fintype.card ι)) fun t => ?_
       simp_rw [LinearMap.coe_comp, LinearEquiv.coe_toLinearMap, Function.comp_apply,
         LinearMap.coe_toContinuousLinearMap', LinearEquiv.piRing_symm_apply]
       apply le_trans (norm_sum_le _ _)
@@ -662,7 +678,7 @@ theorem summable_norm_iff {α E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ
     set e := v.equivFunL
     have H : Summable fun x => ‖e (f x)‖ := this (e.summable.2 hf)
     refine .of_norm_bounded _ (H.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊) fun i ↦ ?_
-    simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_op_norm (e <| f i)
+    simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_opNorm (e <| f i)
   clear! E
   -- Now we deal with `g : α → Fin N → ℝ`
   intro N g hg

Rename lemmas to enable new-style dot notation or drop repeating FiniteDimensional.finiteDimensional_*. Restore old names as deprecated aliases.

@@ -33,7 +33,7 @@ linear maps are continuous. Moreover, a finite-dimensional subspace is always co
   resolution. It is however registered as an instance for `𝕜 = ℝ` and `𝕜 = ℂ`. As properness
   implies completeness, there is no need to also register `FiniteDimensional.complete` on `ℝ` or
   `ℂ`.
-* `finiteDimensional_of_isCompact_closedBall`: Riesz' theorem: if the closed unit ball is
+* `FiniteDimensional.of_isCompact_closedBall`: Riesz' theorem: if the closed unit ball is
   compact, then the space is finite-dimensional.
 
 ## Implementation notes
@@ -422,7 +422,7 @@ variable (𝕜)
 
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
+theorem FiniteDimensional.of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E := by
   by_contra hfin
   obtain ⟨R, f, Rgt, fle, lef⟩ :
@@ -452,22 +452,29 @@ theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
       apply lef (ne_of_gt _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
-#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closedBall₀
+#align finite_dimensional_of_is_compact_closed_ball₀ FiniteDimensional.of_isCompact_closedBall₀
+
+@[deprecated] -- Since 2024/02/02
+alias finiteDimensional_of_isCompact_closedBall₀ := FiniteDimensional.of_isCompact_closedBall₀
 
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
-    (h : IsCompact (Metric.closedBall c r)) : FiniteDimensional 𝕜 E := by
-  apply finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos
-  have : Continuous fun x => -c + x := continuous_const.add continuous_id
-  simpa using h.image this
-#align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
+theorem FiniteDimensional.of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
+    (h : IsCompact (Metric.closedBall c r)) : FiniteDimensional 𝕜 E :=
+  .of_isCompact_closedBall₀ 𝕜 rpos <| by simpa using h.vadd (-c)
+#align finite_dimensional_of_is_compact_closed_ball FiniteDimensional.of_isCompact_closedBall
+
+@[deprecated] -- Since 2024/02/02
+alias finiteDimensional_of_isCompact_closedBall := FiniteDimensional.of_isCompact_closedBall
 
 /-- **Riesz's theorem**: a locally compact normed vector space is finite-dimensional. -/
-theorem finiteDimensional_of_locallyCompactSpace [LocallyCompactSpace E] :
-    FiniteDimensional 𝕜 E := by
-  rcases exists_isCompact_closedBall (0 : E) with ⟨r, rpos, hr⟩
-  exact finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos hr
+theorem FiniteDimensional.of_locallyCompactSpace [LocallyCompactSpace E] :
+    FiniteDimensional 𝕜 E :=
+  let ⟨_r, rpos, hr⟩ := exists_isCompact_closedBall (0 : E)
+  .of_isCompact_closedBall₀ 𝕜 rpos hr
+
+@[deprecated] -- Since 2024/02/02
+alias finiteDimensional_of_locallyCompactSpace := FiniteDimensional.of_locallyCompactSpace
 
 /-- If a function has compact multiplicative support, then either the function is trivial or the
 space is finite-dimensional. -/
@@ -490,7 +497,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [Topologica
     Metric.nhds_basis_closedBall.mem_iff.1 this
   have : IsCompact (Metric.closedBall x r) :=
     hf.of_isClosed_subset Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
-  exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
+  exact .of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 
@@ -605,7 +612,7 @@ instance {𝕜 E : Type*} [NontriviallyNormedField 𝕜] [CompleteSpace 𝕜]
     ProperSpace S := by
   nontriviality E
   have : ProperSpace 𝕜 := .of_locallyCompact_module 𝕜 E
-  have : FiniteDimensional 𝕜 E := finiteDimensional_of_locallyCompactSpace 𝕜
+  have : FiniteDimensional 𝕜 E := .of_locallyCompactSpace 𝕜
   exact FiniteDimensional.proper 𝕜 S
 
 /-- If `E` is a finite dimensional normed real vector space, `x : E`, and `s` is a neighborhood of
@@ -635,7 +642,7 @@ nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type*}
   · rw [mem_interior_iff_mem_nhds, Metric.nhds_basis_closedBall.mem_iff] at hx'
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
-      finiteDimensional_of_isCompact_closedBall ℝ hr₀
+      .of_isCompact_closedBall ℝ hr₀
         (hK.of_isClosed_subset Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩

Rename properSpace_of_* to ProperSpace.of_*, restore old names as deprecated aliases. This affects:

• properSpace_of_locallyCompactSpace -> ProperSpace.of_locallyCompactSpace, also golf using new ProperSpace.of_seq_closedBall;
• properSpace_of_locallyCompact_module -> ProperSpace.of_locallyCompact_module;
• properSpace_of_compact_closedBall_of_le -> ProperSpace.of_isCompact_closedBall_of_le, also changed compact -> isCompact in the name.

@@ -8,6 +8,7 @@ import Mathlib.Analysis.NormedSpace.AddTorsor
 import Mathlib.Analysis.NormedSpace.AffineIsometry
 import Mathlib.Analysis.NormedSpace.OperatorNorm
 import Mathlib.Analysis.NormedSpace.RieszLemma
+import Mathlib.Analysis.NormedSpace.Pointwise
 import Mathlib.Topology.Algebra.Module.FiniteDimension
 import Mathlib.Topology.Algebra.InfiniteSum.Module
 import Mathlib.Topology.Instances.Matrix
@@ -494,39 +495,33 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [Topologica
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 
 /-- A locally compact normed vector space is proper. -/
-lemma properSpace_of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField 𝕜]
-    {E : Type*} [SeminormedAddCommGroup E] [NormedSpace 𝕜 E]
-    [LocallyCompactSpace E] : ProperSpace E := by
+lemma ProperSpace.of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField 𝕜]
+    {E : Type*} [SeminormedAddCommGroup E] [NormedSpace 𝕜 E] [LocallyCompactSpace E] :
+    ProperSpace E := by
   rcases exists_isCompact_closedBall (0 : E) with ⟨r, rpos, hr⟩
   rcases NormedField.exists_one_lt_norm 𝕜 with ⟨c, hc⟩
-  have M : ∀ n (x : E), IsCompact (closedBall x (‖c‖^n * r)) := by
-    intro n x
-    let f : E → E := fun y ↦ c^n • y + x
-    have Cf : Continuous f := (continuous_id.const_smul _).add continuous_const
-    have A : closedBall x (‖c‖^n * r) ⊆ f '' (closedBall 0 r) := by
-      rintro y hy
-      refine ⟨(c^n)⁻¹ • (y - x), ?_, ?_⟩
-      · simpa [dist_eq_norm, norm_smul, inv_mul_le_iff (pow_pos (zero_lt_one.trans hc) _)] using hy
-      · have : c^n ≠ 0 := pow_ne_zero _ (norm_pos_iff.1 (zero_lt_one.trans hc))
-        simp [smul_smul, mul_inv_cancel this]
-    exact (hr.image Cf).of_isClosed_subset isClosed_ball A
-  refine ⟨fun x s ↦ ?_⟩
-  have L : ∀ᶠ n in (atTop : Filter ℕ), s ≤ ‖c‖^n * r := by
-    have : Tendsto (fun n ↦ ‖c‖^n * r) atTop atTop :=
-      Tendsto.atTop_mul_const rpos (tendsto_pow_atTop_atTop_of_one_lt hc)
-    exact Tendsto.eventually_ge_atTop this s
-  rcases L.exists with ⟨n, hn⟩
-  exact (M n x).of_isClosed_subset isClosed_ball (closedBall_subset_closedBall hn)
+  have hC : ∀ n, IsCompact (closedBall (0 : E) (‖c‖^n * r)) := fun n ↦ by
+    have : c ^ n ≠ 0 := pow_ne_zero _ <| fun h ↦ by simp [h, zero_le_one.not_lt] at hc
+    simpa [_root_.smul_closedBall' this] using hr.smul (c ^ n)
+  have hTop : Tendsto (fun n ↦ ‖c‖^n * r) atTop atTop :=
+    Tendsto.atTop_mul_const rpos (tendsto_pow_atTop_atTop_of_one_lt hc)
+  exact .of_seq_closedBall hTop (eventually_of_forall hC)
+
+@[deprecated] -- Since 2024/01/31
+alias properSpace_of_locallyCompactSpace := ProperSpace.of_locallyCompactSpace
 
 variable (E)
-lemma properSpace_of_locallyCompact_module [Nontrivial E] [LocallyCompactSpace E] :
-    ProperSpace 𝕜 := by
+lemma ProperSpace.of_locallyCompact_module [Nontrivial E] [LocallyCompactSpace E] :
+    ProperSpace 𝕜 :=
   have : LocallyCompactSpace 𝕜 := by
     obtain ⟨v, hv⟩ : ∃ v : E, v ≠ 0 := exists_ne 0
     let L : 𝕜 → E := fun t ↦ t • v
     have : ClosedEmbedding L := closedEmbedding_smul_left hv
     apply ClosedEmbedding.locallyCompactSpace this
-  exact properSpace_of_locallyCompactSpace 𝕜
+  .of_locallyCompactSpace 𝕜
+
+@[deprecated] -- Since 2024/01/31
+alias properSpace_of_locallyCompact_module := ProperSpace.of_locallyCompact_module
 
 end Riesz
 
@@ -589,7 +584,7 @@ We do not register this as an instance to avoid an instance loop when trying to
 properness of `𝕜`, and the search for `𝕜` as an unknown metavariable. Declare the instance
 explicitly when needed. -/
 theorem FiniteDimensional.proper [FiniteDimensional 𝕜 E] : ProperSpace E := by
-  have : ProperSpace 𝕜 := properSpace_of_locallyCompactSpace 𝕜
+  have : ProperSpace 𝕜 := .of_locallyCompactSpace 𝕜
   set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   exact e.symm.antilipschitz.properSpace e.symm.continuous e.symm.surjective
 #align finite_dimensional.proper FiniteDimensional.proper
@@ -609,7 +604,7 @@ instance {𝕜 E : Type*} [NontriviallyNormedField 𝕜] [CompleteSpace 𝕜]
     [NormedAddCommGroup E] [NormedSpace 𝕜 E] [LocallyCompactSpace E] (S : Submodule 𝕜 E) :
     ProperSpace S := by
   nontriviality E
-  have : ProperSpace 𝕜 := properSpace_of_locallyCompact_module 𝕜 E
+  have : ProperSpace 𝕜 := .of_locallyCompact_module 𝕜 E
   have : FiniteDimensional 𝕜 E := finiteDimensional_of_locallyCompactSpace 𝕜
   exact FiniteDimensional.proper 𝕜 S
 

• Merge Function.left_id and Function.comp.left_id into Function.id_comp.
• Merge Function.right_id and Function.comp.right_id into Function.comp_id.
• Merge Function.comp_const_right and Function.comp_const into Function.comp_const, use explicit arguments.
• Move Function.const_comp to Mathlib.Init.Function, use explicit arguments.

@@ -568,7 +568,7 @@ theorem continuousOn_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimension
   let e₁ : E ≃L[𝕜] Fin d → 𝕜 := ContinuousLinearEquiv.ofFinrankEq hd
   let e₂ : (E →L[𝕜] F) ≃L[𝕜] Fin d → F :=
     (e₁.arrowCongr (1 : F ≃L[𝕜] F)).trans (ContinuousLinearEquiv.piRing (Fin d))
-  rw [← Function.comp.left_id f, ← e₂.symm_comp_self]
+  rw [← f.id_comp, ← e₂.symm_comp_self]
   exact e₂.symm.continuous.comp_continuousOn (continuousOn_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
 

A bunch of lemmas in Algebra.BigOperators.Ring were not about rings. This PR moves them along with some lemmas from Data.Fintype.BigOperators to their correct place.

I create a new file with the content from #6605 to avoid importing Fin material in finset files as a result.

From LeanAPAP

@@ -278,7 +278,7 @@ theorem Basis.op_nnnorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       _ ≤ ∑ i, ‖v.equivFun e i • (u <| v i)‖₊ := (nnnorm_sum_le _ _)
       _ = ∑ i, ‖v.equivFun e i‖₊ * ‖u (v i)‖₊ := by simp only [nnnorm_smul]
       _ ≤ ∑ i, ‖v.equivFun e i‖₊ * M := by gcongr; apply hu
-      _ = (∑ i, ‖v.equivFun e i‖₊) * M := Finset.sum_mul.symm
+      _ = (∑ i, ‖v.equivFun e i‖₊) * M := by rw [Finset.sum_mul]
       _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M := by
         gcongr
         calc

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

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

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

@@ -397,7 +397,7 @@ bounded by `R` and at distance at least `1`. For a version not assuming `c` and
 `exists_seq_norm_le_one_le_norm_sub`. -/
 theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : ℝ} (hR : ‖c‖ < R)
     (h : ¬FiniteDimensional 𝕜 E) :
-    ∃ f : ℕ → E, (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ := by
+    ∃ f : ℕ → E, (∀ n, ‖f n‖ ≤ R) ∧ Pairwise fun m n => 1 ≤ ‖f m - f n‖ := by
   have : IsSymm E fun x y : E => 1 ≤ ‖x - y‖ := by
     constructor
     intro x y hxy
@@ -410,7 +410,7 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
 
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
-    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ := by
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ Pairwise fun m n => 1 ≤ ‖f m - f n‖ := by
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 1 < ‖c‖ := NormedField.exists_one_lt_norm 𝕜
   have A : ‖c‖ < ‖c‖ + 1 := by linarith
   rcases exists_seq_norm_le_one_le_norm_sub' hc A h with ⟨f, hf⟩
@@ -425,7 +425,7 @@ theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E := by
   by_contra hfin
   obtain ⟨R, f, Rgt, fle, lef⟩ :
-    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ Pairwise fun m n => 1 ≤ ‖f m - f n‖ :=
     exists_seq_norm_le_one_le_norm_sub hfin
   have rRpos : 0 < r / R := div_pos rpos (zero_lt_one.trans Rgt)
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 0 < ‖c‖ ∧ ‖c‖ < r / R := NormedField.exists_norm_lt _ rRpos
@@ -448,7 +448,7 @@ theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
       conv_lhs => rw [← mul_one ‖c‖]
       simp only [dist_eq_norm, ← smul_sub, norm_smul]
       gcongr
-      apply lef _ _ (ne_of_gt _)
+      apply lef (ne_of_gt _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closedBall₀

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

Renames

Algebra.GroupPower.Order

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

Algebra.GroupPower.CovariantClass

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

Data.Nat.Pow

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

Lemmas added

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

Lemmas removed

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

Other changes

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

@@ -283,7 +283,7 @@ theorem Basis.op_nnnorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u :
         gcongr
         calc
           ∑ i, ‖v.equivFun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
-          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _
+          _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_right (φ.le_op_nnnorm e) _
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 

Add Asymptotics.IsBigO.comp_summable.

@@ -681,6 +681,12 @@ theorem summable_of_isBigO' {ι E F : Type*} [NormedAddCommGroup E] [CompleteSpa
 set_option linter.uppercaseLean3 false in
 #align summable_of_is_O' summable_of_isBigO'
 
+lemma Asymptotics.IsBigO.comp_summable {ι E F : Type*}
+    [NormedAddCommGroup E] [NormedSpace ℝ E] [FiniteDimensional ℝ E]
+    [NormedAddCommGroup F] [CompleteSpace F]
+    {f : E → F} (hf : f =O[𝓝 0] id) {g : ι → E} (hg : Summable g) : Summable (f ∘ g) :=
+  .of_norm <| hf.comp_summable_norm hg.norm
+
 theorem summable_of_isBigO_nat' {E F : Type*} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=

Rename

• summable_of_norm_bounded -> Summable.of_norm_bounded;
• summable_of_norm_bounded_eventually -> Summable.of_norm_bounded_eventually;
• summable_of_nnnorm_bounded -> Summable.of_nnnorm_bounded;
• summable_of_summable_norm -> Summable.of_norm;
• summable_of_summable_nnnorm -> Summable.of_nnnorm;

New lemmas

• Summable.of_norm_bounded_eventually_nat
• Summable.norm

Misc changes

• Golf a few proofs.

@@ -653,39 +653,38 @@ summable if and only if the series `∑ x, f x` is unconditionally summable. One
 any complete normed space, while the other holds only in finite dimensional spaces. -/
 theorem summable_norm_iff {α E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : α → E} : (Summable fun x => ‖f x‖) ↔ Summable f := by
-  refine' ⟨summable_of_summable_norm, fun hf => _⟩
+  refine ⟨Summable.of_norm, fun hf ↦ ?_⟩
   -- First we use a finite basis to reduce the problem to the case `E = Fin N → ℝ`
   suffices ∀ {N : ℕ} {g : α → Fin N → ℝ}, Summable g → Summable fun x => ‖g x‖ by
     obtain v := finBasis ℝ E
     set e := v.equivFunL
-    have : Summable fun x => ‖e (f x)‖ := this (e.summable.2 hf)
-    refine'
-      summable_of_norm_bounded _ (this.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊)
-        fun i => _
+    have H : Summable fun x => ‖e (f x)‖ := this (e.summable.2 hf)
+    refine .of_norm_bounded _ (H.mul_left ↑‖(e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E)‖₊) fun i ↦ ?_
     simpa using (e.symm : (Fin (finrank ℝ E) → ℝ) →L[ℝ] E).le_op_norm (e <| f i)
   clear! E
   -- Now we deal with `g : α → Fin N → ℝ`
   intro N g hg
   have : ∀ i, Summable fun x => ‖g x i‖ := fun i => (Pi.summable.1 hg i).abs
-  refine'
-    summable_of_norm_bounded _ (summable_sum fun i (_ : i ∈ Finset.univ) => this i) fun x => _
+  refine' .of_norm_bounded _ (summable_sum fun i (_ : i ∈ Finset.univ) => this i) fun x => _
   rw [norm_norm, pi_norm_le_iff_of_nonneg]
   · refine' fun i => Finset.single_le_sum (f := fun i => ‖g x i‖) (fun i _ => _) (Finset.mem_univ i)
     exact norm_nonneg (g x i)
   · exact Finset.sum_nonneg fun _ _ => norm_nonneg _
 #align summable_norm_iff summable_norm_iff
 
+alias ⟨_, Summable.norm⟩ := summable_norm_iff
+
 theorem summable_of_isBigO' {ι E F : Type*} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
-  summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
+  summable_of_isBigO hg.norm h.norm_right
 set_option linter.uppercaseLean3 false in
 #align summable_of_is_O' summable_of_isBigO'
 
 theorem summable_of_isBigO_nat' {E F : Type*} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
-  summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
+  summable_of_isBigO_nat hg.norm h.norm_right
 set_option linter.uppercaseLean3 false in
 #align summable_of_is_O_nat' summable_of_isBigO_nat'
 

To check that a property is true ae in a vector space, it suffices to check that it is true ae along all translates of a given vector subspace.

@@ -518,6 +518,16 @@ lemma properSpace_of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField
   rcases L.exists with ⟨n, hn⟩
   exact (M n x).of_isClosed_subset isClosed_ball (closedBall_subset_closedBall hn)
 
+variable (E)
+lemma properSpace_of_locallyCompact_module [Nontrivial E] [LocallyCompactSpace E] :
+    ProperSpace 𝕜 := by
+  have : LocallyCompactSpace 𝕜 := by
+    obtain ⟨v, hv⟩ : ∃ v : E, v ≠ 0 := exists_ne 0
+    let L : 𝕜 → E := fun t ↦ t • v
+    have : ClosedEmbedding L := closedEmbedding_smul_left hv
+    apply ClosedEmbedding.locallyCompactSpace this
+  exact properSpace_of_locallyCompactSpace 𝕜
+
 end Riesz
 
 open ContinuousLinearMap
@@ -569,21 +579,22 @@ theorem continuous_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimensional
 
 end CompleteField
 
-section ProperField
+section LocallyCompactField
 
 variable (𝕜 : Type u) [NontriviallyNormedField 𝕜] (E : Type v) [NormedAddCommGroup E]
-  [NormedSpace 𝕜 E] [ProperSpace 𝕜]
+  [NormedSpace 𝕜 E] [LocallyCompactSpace 𝕜]
 
-/-- Any finite-dimensional vector space over a proper field is proper.
+/-- Any finite-dimensional vector space over a locally compact field is proper.
 We do not register this as an instance to avoid an instance loop when trying to prove the
 properness of `𝕜`, and the search for `𝕜` as an unknown metavariable. Declare the instance
 explicitly when needed. -/
 theorem FiniteDimensional.proper [FiniteDimensional 𝕜 E] : ProperSpace E := by
+  have : ProperSpace 𝕜 := properSpace_of_locallyCompactSpace 𝕜
   set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
   exact e.symm.antilipschitz.properSpace e.symm.continuous e.symm.surjective
 #align finite_dimensional.proper FiniteDimensional.proper
 
-end ProperField
+end LocallyCompactField
 
 /- Over the real numbers, we can register the previous statement as an instance as it will not
 cause problems in instance resolution since the properness of `ℝ` is already known. -/
@@ -592,6 +603,16 @@ instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAdd
   FiniteDimensional.proper ℝ E
 #align finite_dimensional.proper_real FiniteDimensional.proper_real
 
+/-- A submodule of a locally compact space over a complete field is also locally compact (and even
+proper). -/
+instance {𝕜 E : Type*} [NontriviallyNormedField 𝕜] [CompleteSpace 𝕜]
+    [NormedAddCommGroup E] [NormedSpace 𝕜 E] [LocallyCompactSpace E] (S : Submodule 𝕜 E) :
+    ProperSpace S := by
+  nontriviality E
+  have : ProperSpace 𝕜 := properSpace_of_locallyCompact_module 𝕜 E
+  have : FiniteDimensional 𝕜 E := finiteDimensional_of_locallyCompactSpace 𝕜
+  exact FiniteDimensional.proper 𝕜 S
+
 /-- If `E` is a finite dimensional normed real vector space, `x : E`, and `s` is a neighborhood of
 `x` that is not equal to the whole space, then there exists a point `y ∈ frontier s` at distance
 `Metric.infDist x sᶜ` from `x`. See also

As discussed on Zulip.

Co-authored-by: grunweg <grunweg@posteo.de>

@@ -488,7 +488,7 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [Topologica
   obtain ⟨r : ℝ, rpos : 0 < r, hr : Metric.closedBall x r ⊆ Function.mulSupport f⟩ :=
     Metric.nhds_basis_closedBall.mem_iff.1 this
   have : IsCompact (Metric.closedBall x r) :=
-    isCompact_of_isClosed_subset hf Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
+    hf.of_isClosed_subset Metric.isClosed_ball (hr.trans (subset_mulTSupport _))
   exact finiteDimensional_of_isCompact_closedBall 𝕜 rpos this
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
@@ -509,14 +509,14 @@ lemma properSpace_of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField
       · simpa [dist_eq_norm, norm_smul, inv_mul_le_iff (pow_pos (zero_lt_one.trans hc) _)] using hy
       · have : c^n ≠ 0 := pow_ne_zero _ (norm_pos_iff.1 (zero_lt_one.trans hc))
         simp [smul_smul, mul_inv_cancel this]
-    exact isCompact_of_isClosed_subset (hr.image Cf) isClosed_ball A
+    exact (hr.image Cf).of_isClosed_subset isClosed_ball A
   refine ⟨fun x s ↦ ?_⟩
   have L : ∀ᶠ n in (atTop : Filter ℕ), s ≤ ‖c‖^n * r := by
     have : Tendsto (fun n ↦ ‖c‖^n * r) atTop atTop :=
       Tendsto.atTop_mul_const rpos (tendsto_pow_atTop_atTop_of_one_lt hc)
     exact Tendsto.eventually_ge_atTop this s
   rcases L.exists with ⟨n, hn⟩
-  exact isCompact_of_isClosed_subset (M n x) isClosed_ball (closedBall_subset_closedBall hn)
+  exact (M n x).of_isClosed_subset isClosed_ball (closedBall_subset_closedBall hn)
 
 end Riesz
 
@@ -620,7 +620,7 @@ nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type*}
     rcases hx' with ⟨r, hr₀, hrK⟩
     have : FiniteDimensional ℝ E :=
       finiteDimensional_of_isCompact_closedBall ℝ hr₀
-        (isCompact_of_isClosed_subset hK Metric.isClosed_ball hrK)
+        (hK.of_isClosed_subset Metric.isClosed_ball hrK)
     exact exists_mem_frontier_infDist_compl_eq_dist hx hK.ne_univ
   · refine' ⟨x, hx', _⟩
     rw [frontier_eq_closure_inter_closure] at hx'

We reuse the main results that were proved for functions not depending on a parameter (but we need to tweak the definition of the set A to let it cover all cases, replacing a large inequality by a strict one).

@@ -50,7 +50,7 @@ universe u v w x
 noncomputable section
 
 open Set FiniteDimensional TopologicalSpace Filter Asymptotics Classical BigOperators Topology
-  NNReal
+  NNReal Metric
 
 namespace LinearIsometry
 
@@ -462,6 +462,12 @@ theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c :
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
 
+/-- **Riesz's theorem**: a locally compact normed vector space is finite-dimensional. -/
+theorem finiteDimensional_of_locallyCompactSpace [LocallyCompactSpace E] :
+    FiniteDimensional 𝕜 E := by
+  rcases exists_isCompact_closedBall (0 : E) with ⟨r, rpos, hr⟩
+  exact finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos hr
+
 /-- If a function has compact multiplicative support, then either the function is trivial or the
 space is finite-dimensional. -/
 @[to_additive
@@ -487,6 +493,31 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [Topologica
 #align has_compact_mul_support.eq_one_or_finite_dimensional HasCompactMulSupport.eq_one_or_finiteDimensional
 #align has_compact_support.eq_zero_or_finite_dimensional HasCompactSupport.eq_zero_or_finiteDimensional
 
+/-- A locally compact normed vector space is proper. -/
+lemma properSpace_of_locallyCompactSpace (𝕜 : Type*) [NontriviallyNormedField 𝕜]
+    {E : Type*} [SeminormedAddCommGroup E] [NormedSpace 𝕜 E]
+    [LocallyCompactSpace E] : ProperSpace E := by
+  rcases exists_isCompact_closedBall (0 : E) with ⟨r, rpos, hr⟩
+  rcases NormedField.exists_one_lt_norm 𝕜 with ⟨c, hc⟩
+  have M : ∀ n (x : E), IsCompact (closedBall x (‖c‖^n * r)) := by
+    intro n x
+    let f : E → E := fun y ↦ c^n • y + x
+    have Cf : Continuous f := (continuous_id.const_smul _).add continuous_const
+    have A : closedBall x (‖c‖^n * r) ⊆ f '' (closedBall 0 r) := by
+      rintro y hy
+      refine ⟨(c^n)⁻¹ • (y - x), ?_, ?_⟩
+      · simpa [dist_eq_norm, norm_smul, inv_mul_le_iff (pow_pos (zero_lt_one.trans hc) _)] using hy
+      · have : c^n ≠ 0 := pow_ne_zero _ (norm_pos_iff.1 (zero_lt_one.trans hc))
+        simp [smul_smul, mul_inv_cancel this]
+    exact isCompact_of_isClosed_subset (hr.image Cf) isClosed_ball A
+  refine ⟨fun x s ↦ ?_⟩
+  have L : ∀ᶠ n in (atTop : Filter ℕ), s ≤ ‖c‖^n * r := by
+    have : Tendsto (fun n ↦ ‖c‖^n * r) atTop atTop :=
+      Tendsto.atTop_mul_const rpos (tendsto_pow_atTop_atTop_of_one_lt hc)
+    exact Tendsto.eventually_ge_atTop this s
+  rcases L.exists with ⟨n, hn⟩
+  exact isCompact_of_isClosed_subset (M n x) isClosed_ball (closedBall_subset_closedBall hn)
+
 end Riesz
 
 open ContinuousLinearMap

• Generalize FiniteDimensional.complete, Submodule.complete_of_finiteDimensional from a normed space over 𝕜 to a uniform additive commutative group that is a TVS over 𝕜.
• Generalize Submodule.closed_of_finiteDimensional, LinearMap.closedEmbedding_of_injective, closedEmbedding_smul_left isClosedMap_smul_left, and ContinuousLinearMap.exists_right_inverse_of_surjective from a normed space to a TVS.
• Rename finiteDimensional_of_isCompact_closed_ball₀ to finiteDimensional_of_isCompact_closedBall₀.

Co-authored-by: ADedecker <anatolededecker@gmail.com>

@@ -359,28 +359,6 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
     _ = dist x (Φ x) + dist y (Φ y) := by simp [hxy, dist_comm]
     _ ≤ ε := by linarith [hn x, hn y]
 
-variable (𝕜 E)
-
-theorem FiniteDimensional.complete [FiniteDimensional 𝕜 E] : CompleteSpace E := by
-  set e := ContinuousLinearEquiv.ofFinrankEq (@finrank_fin_fun 𝕜 _ _ (finrank 𝕜 E)).symm
-  have : UniformEmbedding e.toLinearEquiv.toEquiv.symm := e.symm.uniformEmbedding
-  exact (completeSpace_congr this).1 (by infer_instance)
-#align finite_dimensional.complete FiniteDimensional.complete
-
-variable {𝕜 E}
-
-/-- A finite-dimensional subspace is complete. -/
-theorem Submodule.complete_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDimensional 𝕜 s] :
-    IsComplete (s : Set E) :=
-  completeSpace_coe_iff_isComplete.1 (FiniteDimensional.complete 𝕜 s)
-#align submodule.complete_of_finite_dimensional Submodule.complete_of_finiteDimensional
-
-/-- A finite-dimensional subspace is closed. -/
-theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDimensional 𝕜 s] :
-    IsClosed (s : Set E) :=
-  s.complete_of_finiteDimensional.isClosed
-#align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
-
 theorem AffineSubspace.closed_of_finiteDimensional {P : Type*} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
     IsClosed (s : Set P) :=
@@ -443,7 +421,7 @@ variable (𝕜)
 
 /-- **Riesz's theorem**: if a closed ball with center zero of positive radius is compact in a vector
 space, then the space is finite-dimensional. -/
-theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
+theorem finiteDimensional_of_isCompact_closedBall₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E := by
   by_contra hfin
   obtain ⟨R, f, Rgt, fle, lef⟩ :
@@ -473,13 +451,13 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
       apply lef _ _ (ne_of_gt _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
-#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
+#align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closedBall₀
 
 /-- **Riesz's theorem**: if a closed ball of positive radius is compact in a vector space, then the
 space is finite-dimensional. -/
 theorem finiteDimensional_of_isCompact_closedBall {r : ℝ} (rpos : 0 < r) {c : E}
     (h : IsCompact (Metric.closedBall c r)) : FiniteDimensional 𝕜 E := by
-  apply finiteDimensional_of_isCompact_closed_ball₀ 𝕜 rpos
+  apply finiteDimensional_of_isCompact_closedBall₀ 𝕜 rpos
   have : Continuous fun x => -c + x := continuous_const.add continuous_id
   simpa using h.image this
 #align finite_dimensional_of_is_compact_closed_ball finiteDimensional_of_isCompact_closedBall
@@ -511,35 +489,6 @@ theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [Topologica
 
 end Riesz
 
-/-- An injective linear map with finite-dimensional domain is a closed embedding. -/
-theorem LinearEquiv.closedEmbedding_of_injective {f : E →ₗ[𝕜] F} (hf : LinearMap.ker f = ⊥)
-    [FiniteDimensional 𝕜 E] : ClosedEmbedding f :=
-  let g := LinearEquiv.ofInjective f (LinearMap.ker_eq_bot.mp hf)
-  { embedding_subtype_val.comp g.toContinuousLinearEquiv.toHomeomorph.embedding with
-    closed_range := by
-      haveI := f.finiteDimensional_range
-      simpa [LinearMap.range_coe f] using f.range.closed_of_finiteDimensional }
-#align linear_equiv.closed_embedding_of_injective LinearEquiv.closedEmbedding_of_injective
-
-theorem ContinuousLinearMap.exists_right_inverse_of_surjective [FiniteDimensional 𝕜 F]
-    (f : E →L[𝕜] F) (hf : LinearMap.range f = ⊤) :
-    ∃ g : F →L[𝕜] E, f.comp g = ContinuousLinearMap.id 𝕜 F :=
-  let ⟨g, hg⟩ := (f : E →ₗ[𝕜] F).exists_rightInverse_of_surjective hf
-  ⟨LinearMap.toContinuousLinearMap g, ContinuousLinearMap.ext <| LinearMap.ext_iff.1 hg⟩
-#align continuous_linear_map.exists_right_inverse_of_surjective ContinuousLinearMap.exists_right_inverse_of_surjective
-
-theorem closedEmbedding_smul_left {c : E} (hc : c ≠ 0) : ClosedEmbedding fun x : 𝕜 => x • c :=
-  LinearEquiv.closedEmbedding_of_injective (LinearMap.ker_toSpanSingleton 𝕜 E hc)
-#align closed_embedding_smul_left closedEmbedding_smul_left
-
--- `smul` is a closed map in the first argument.
-theorem isClosedMap_smul_left (c : E) : IsClosedMap fun x : 𝕜 => x • c := by
-  by_cases hc : c = 0
-  · simp_rw [hc, smul_zero]
-    exact isClosedMap_const
-  · exact (closedEmbedding_smul_left hc).isClosedMap
-#align is_closed_map_smul_left isClosedMap_smul_left
-
 open ContinuousLinearMap
 
 /-- Continuous linear equivalence between continuous linear functions `𝕜ⁿ → E` and `Eⁿ`.
@@ -583,7 +532,7 @@ theorem continuousOn_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimension
 #align continuous_on_clm_apply continuousOn_clm_apply
 
 theorem continuous_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
-    {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by
+    {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous (f · y) := by
   simp_rw [continuous_iff_continuousOn_univ, continuousOn_clm_apply]
 #align continuous_clm_apply continuous_clm_apply
 
@@ -621,11 +570,8 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type*} [NormedAddCommGrou
     ∃ y ∈ frontier s, Metric.infDist x sᶜ = dist x y := by
   rcases Metric.exists_mem_closure_infDist_eq_dist (nonempty_compl.2 hs) x with ⟨y, hys, hyd⟩
   rw [closure_compl] at hys
-  refine'
-    ⟨y,
-      ⟨Metric.closedBall_infDist_compl_subset_closure hx <| Metric.mem_closedBall.2 <| ge_of_eq _,
-        hys⟩,
-      hyd⟩
+  refine' ⟨y, ⟨Metric.closedBall_infDist_compl_subset_closure hx <|
+    Metric.mem_closedBall.2 <| ge_of_eq _, hys⟩, hyd⟩
   rwa [dist_comm]
 #align exists_mem_frontier_inf_dist_compl_eq_dist exists_mem_frontier_infDist_compl_eq_dist
 

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

This has nice performance benefits.

@@ -56,11 +56,11 @@ namespace LinearIsometry
 
 open LinearMap
 
-variable {R : Type _} [Semiring R]
+variable {R : Type*} [Semiring R]
 
-variable {F E₁ : Type _} [SeminormedAddCommGroup F] [NormedAddCommGroup E₁] [Module R E₁]
+variable {F E₁ : Type*} [SeminormedAddCommGroup F] [NormedAddCommGroup E₁] [Module R E₁]
 
-variable {R₁ : Type _} [Field R₁] [Module R₁ E₁] [Module R₁ F] [FiniteDimensional R₁ E₁]
+variable {R₁ : Type*} [Field R₁] [Module R₁ E₁] [Module R₁ F] [FiniteDimensional R₁ E₁]
   [FiniteDimensional R₁ F]
 
 /-- A linear isometry between finite dimensional spaces of equal dimension can be upgraded
@@ -89,7 +89,7 @@ namespace AffineIsometry
 
 open AffineMap
 
-variable {𝕜 : Type _} {V₁ V₂ : Type _} {P₁ P₂ : Type _} [NormedField 𝕜] [NormedAddCommGroup V₁]
+variable {𝕜 : Type*} {V₁ V₂ : Type*} {P₁ P₂ : Type*} [NormedField 𝕜] [NormedAddCommGroup V₁]
   [SeminormedAddCommGroup V₂] [NormedSpace 𝕜 V₁] [NormedSpace 𝕜 V₂] [MetricSpace P₁]
   [PseudoMetricSpace P₂] [NormedAddTorsor V₁ P₁] [NormedAddTorsor V₂ P₂]
 
@@ -126,7 +126,7 @@ variable {𝕜 : Type u} [NontriviallyNormedField 𝕜] {E : Type v} [NormedAddC
 
 section Affine
 
-variable {PE PF : Type _} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace PF]
+variable {PE PF : Type*} [MetricSpace PE] [NormedAddTorsor E PE] [MetricSpace PF]
   [NormedAddTorsor F PF] [FiniteDimensional 𝕜 E]
 
 theorem AffineMap.continuous_of_finiteDimensional (f : PE →ᵃ[𝕜] PF) : Continuous f :=
@@ -180,13 +180,13 @@ theorem ContinuousLinearMap.continuous_det : Continuous fun f : E →L[𝕜] E =
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `C * K` where `C` only depends on `E'`. We record a working value for this constant `C`
 as `lipschitzExtensionConstant E'`. -/
-irreducible_def lipschitzExtensionConstant (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
+irreducible_def lipschitzExtensionConstant (E' : Type*) [NormedAddCommGroup E'] [NormedSpace ℝ E']
   [FiniteDimensional ℝ E'] : ℝ≥0 :=
   let A := (Basis.ofVectorSpace ℝ E').equivFun.toContinuousLinearEquiv
   max (‖A.symm.toContinuousLinearMap‖₊ * ‖A.toContinuousLinearMap‖₊) 1
 #align lipschitz_extension_constant lipschitzExtensionConstant
 
-theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [NormedSpace ℝ E']
+theorem lipschitzExtensionConstant_pos (E' : Type*) [NormedAddCommGroup E'] [NormedSpace ℝ E']
     [FiniteDimensional ℝ E'] : 0 < lipschitzExtensionConstant E' := by
   rw [lipschitzExtensionConstant]
   exact zero_lt_one.trans_le (le_max_right _ _)
@@ -195,7 +195,7 @@ theorem lipschitzExtensionConstant_pos (E' : Type _) [NormedAddCommGroup E'] [No
 /-- Any `K`-Lipschitz map from a subset `s` of a metric space `α` to a finite-dimensional real
 vector space `E'` can be extended to a Lipschitz map on the whole space `α`, with a slightly worse
 constant `lipschitzExtensionConstant E' * K`. -/
-theorem LipschitzOnWith.extend_finite_dimension {α : Type _} [PseudoMetricSpace α] {E' : Type _}
+theorem LipschitzOnWith.extend_finite_dimension {α : Type*} [PseudoMetricSpace α] {E' : Type*}
     [NormedAddCommGroup E'] [NormedSpace ℝ E'] [FiniteDimensional ℝ E'] {s : Set α} {f : α → E'}
     {K : ℝ≥0} (hf : LipschitzOnWith K f s) :
     ∃ g : α → E', LipschitzWith (lipschitzExtensionConstant E' * K) g ∧ EqOn f g s := by
@@ -254,7 +254,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
   exact norm_le_pi_norm (v - u) i
 #align linear_independent.eventually LinearIndependent.eventually
 
-theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
+theorem isOpen_setOf_linearIndependent {ι : Type*} [Finite ι] :
     IsOpen { f : ι → E | LinearIndependent 𝕜 f } :=
   isOpen_iff_mem_nhds.2 fun _ => LinearIndependent.eventually
 #align is_open_set_of_linear_independent isOpen_setOf_linearIndependent
@@ -268,7 +268,7 @@ theorem isOpen_setOf_nat_le_rank (n : ℕ) :
   exact isOpen_setOf_linearIndependent.preimage this
 #align is_open_set_of_nat_le_rank isOpen_setOf_nat_le_rank
 
-theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
+theorem Basis.op_nnnorm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} (M : ℝ≥0)
     (hu : ∀ i, ‖u (v i)‖₊ ≤ M) : ‖u‖₊ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖₊ * M :=
   u.op_nnnorm_le_bound _ fun e => by
     set φ := v.equivFunL.toContinuousLinearMap
@@ -287,14 +287,14 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
-theorem Basis.op_norm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
+theorem Basis.op_norm_le {ι : Type*} [Fintype ι] (v : Basis ι 𝕜 E) {u : E →L[𝕜] F} {M : ℝ}
     (hM : 0 ≤ M) (hu : ∀ i, ‖u (v i)‖ ≤ M) :
     ‖u‖ ≤ Fintype.card ι • ‖v.equivFunL.toContinuousLinearMap‖ * M := by
   simpa using NNReal.coe_le_coe.mpr (v.op_nnnorm_le ⟨M, hM⟩ hu)
 #align basis.op_norm_le Basis.op_norm_le
 
 /-- A weaker version of `Basis.op_nnnorm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
+theorem Basis.exists_op_nnnorm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ≥0), ∀ {u : E →L[𝕜] F} (M : ℝ≥0), (∀ i, ‖u (v i)‖₊ ≤ M) → ‖u‖₊ ≤ C * M := by
   cases nonempty_fintype ι
   exact
@@ -304,7 +304,7 @@ theorem Basis.exists_op_nnnorm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E
 #align basis.exists_op_nnnorm_le Basis.exists_op_nnnorm_le
 
 /-- A weaker version of `Basis.op_norm_le` that abstracts away the value of `C`. -/
-theorem Basis.exists_op_norm_le {ι : Type _} [Finite ι] (v : Basis ι 𝕜 E) :
+theorem Basis.exists_op_norm_le {ι : Type*} [Finite ι] (v : Basis ι 𝕜 E) :
     ∃ C > (0 : ℝ), ∀ {u : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖u (v i)‖ ≤ M) → ‖u‖ ≤ C * M := by
   obtain ⟨C, hC, h⟩ := v.exists_op_nnnorm_le (F := F)
   -- Porting note: used `Subtype.forall'` below
@@ -381,7 +381,7 @@ theorem Submodule.closed_of_finiteDimensional (s : Submodule 𝕜 E) [FiniteDime
   s.complete_of_finiteDimensional.isClosed
 #align submodule.closed_of_finite_dimensional Submodule.closed_of_finiteDimensional
 
-theorem AffineSubspace.closed_of_finiteDimensional {P : Type _} [MetricSpace P]
+theorem AffineSubspace.closed_of_finiteDimensional {P : Type*} [MetricSpace P]
     [NormedAddTorsor E P] (s : AffineSubspace 𝕜 P) [FiniteDimensional 𝕜 s.direction] :
     IsClosed (s : Set P) :=
   s.isClosed_direction_iff.mp s.direction.closed_of_finiteDimensional
@@ -489,7 +489,7 @@ space is finite-dimensional. -/
 @[to_additive
       "If a function has compact support, then either the function is trivial or the space is
       finite-dimensional."]
-theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type _} [TopologicalSpace X] [One X]
+theorem HasCompactMulSupport.eq_one_or_finiteDimensional {X : Type*} [TopologicalSpace X] [One X]
     [T2Space X] {f : E → X} (hf : HasCompactMulSupport f) (h'f : Continuous f) :
     f = 1 ∨ FiniteDimensional 𝕜 E := by
   by_cases h : ∀ x, f x = 1
@@ -545,7 +545,7 @@ open ContinuousLinearMap
 /-- Continuous linear equivalence between continuous linear functions `𝕜ⁿ → E` and `Eⁿ`.
 The spaces `𝕜ⁿ` and `Eⁿ` are represented as `ι → 𝕜` and `ι → E`, respectively,
 where `ι` is a finite type. -/
-def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
+def ContinuousLinearEquiv.piRing (ι : Type*) [Fintype ι] [DecidableEq ι] :
     ((ι → 𝕜) →L[𝕜] E) ≃L[𝕜] ι → E :=
   { LinearMap.toContinuousLinearMap.symm.trans (LinearEquiv.piRing 𝕜 E ι 𝕜) with
     continuous_toFun := by
@@ -570,7 +570,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
 #align continuous_linear_equiv.pi_ring ContinuousLinearEquiv.piRing
 
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/
-theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
+theorem continuousOn_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} {s : Set X} : ContinuousOn f s ↔ ∀ y, ContinuousOn (fun x => f x y) s := by
   refine' ⟨fun h y => (ContinuousLinearMap.apply 𝕜 F y).continuous.comp_continuousOn h, fun h => _⟩
   let d := finrank 𝕜 E
@@ -582,7 +582,7 @@ theorem continuousOn_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensio
   exact e₂.symm.continuous.comp_continuousOn (continuousOn_pi.mpr fun i => h _)
 #align continuous_on_clm_apply continuousOn_clm_apply
 
-theorem continuous_clm_apply {X : Type _} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
+theorem continuous_clm_apply {X : Type*} [TopologicalSpace X] [FiniteDimensional 𝕜 E]
     {f : X → E →L[𝕜] F} : Continuous f ↔ ∀ y, Continuous fun x => f x y := by
   simp_rw [continuous_iff_continuousOn_univ, continuousOn_clm_apply]
 #align continuous_clm_apply continuous_clm_apply
@@ -616,7 +616,7 @@ instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAdd
 `x` that is not equal to the whole space, then there exists a point `y ∈ frontier s` at distance
 `Metric.infDist x sᶜ` from `x`. See also
 `IsCompact.exists_mem_frontier_infDist_compl_eq_dist`. -/
-theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGroup E]
+theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type*} [NormedAddCommGroup E]
     [NormedSpace ℝ E] [FiniteDimensional ℝ E] {x : E} {s : Set E} (hx : x ∈ s) (hs : s ≠ univ) :
     ∃ y ∈ frontier s, Metric.infDist x sᶜ = dist x y := by
   rcases Metric.exists_mem_closure_infDist_eq_dist (nonempty_compl.2 hs) x with ⟨y, hys, hyd⟩
@@ -632,7 +632,7 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
 /-- If `K` is a compact set in a nontrivial real normed space and `x ∈ K`, then there exists a point
 `y` of the boundary of `K` at distance `Metric.infDist x Kᶜ` from `x`. See also
 `exists_mem_frontier_infDist_compl_eq_dist`. -/
-nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _}
+nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type*}
     [NormedAddCommGroup E] [NormedSpace ℝ E] [Nontrivial E] {x : E} {K : Set E} (hK : IsCompact K)
     (hx : x ∈ K) :
     ∃ y ∈ frontier K, Metric.infDist x Kᶜ = dist x y := by
@@ -653,7 +653,7 @@ nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _}
 /-- In a finite dimensional vector space over `ℝ`, the series `∑ x, ‖f x‖` is unconditionally
 summable if and only if the series `∑ x, f x` is unconditionally summable. One implication holds in
 any complete normed space, while the other holds only in finite dimensional spaces. -/
-theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem summable_norm_iff {α E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : α → E} : (Summable fun x => ‖f x‖) ↔ Summable f := by
   refine' ⟨summable_of_summable_norm, fun hf => _⟩
   -- First we use a finite basis to reduce the problem to the case `E = Fin N → ℝ`
@@ -677,39 +677,39 @@ theorem summable_norm_iff {α E : Type _} [NormedAddCommGroup E] [NormedSpace 
   · exact Finset.sum_nonneg fun _ _ => norm_nonneg _
 #align summable_norm_iff summable_norm_iff
 
-theorem summable_of_isBigO' {ι E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
+theorem summable_of_isBigO' {ι E F : Type*} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ι → E} {g : ι → F}
     (hg : Summable g) (h : f =O[cofinite] g) : Summable f :=
   summable_of_isBigO (summable_norm_iff.mpr hg) h.norm_right
 set_option linter.uppercaseLean3 false in
 #align summable_of_is_O' summable_of_isBigO'
 
-theorem summable_of_isBigO_nat' {E F : Type _} [NormedAddCommGroup E] [CompleteSpace E]
+theorem summable_of_isBigO_nat' {E F : Type*} [NormedAddCommGroup E] [CompleteSpace E]
     [NormedAddCommGroup F] [NormedSpace ℝ F] [FiniteDimensional ℝ F] {f : ℕ → E} {g : ℕ → F}
     (hg : Summable g) (h : f =O[atTop] g) : Summable f :=
   summable_of_isBigO_nat (summable_norm_iff.mpr hg) h.norm_right
 set_option linter.uppercaseLean3 false in
 #align summable_of_is_O_nat' summable_of_isBigO_nat'
 
-theorem summable_of_isEquivalent {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem summable_of_isEquivalent {ι E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (hg : Summable g) (h : f ~[cofinite] g) :
     Summable f :=
   hg.trans_sub (summable_of_isBigO' hg h.isLittleO.isBigO)
 #align summable_of_is_equivalent summable_of_isEquivalent
 
-theorem summable_of_isEquivalent_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem summable_of_isEquivalent_nat {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ℕ → E} {g : ℕ → E} (hg : Summable g) (h : f ~[atTop] g) :
     Summable f :=
   hg.trans_sub (summable_of_isBigO_nat' hg h.isLittleO.isBigO)
 #align summable_of_is_equivalent_nat summable_of_isEquivalent_nat
 
-theorem IsEquivalent.summable_iff {ι E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem IsEquivalent.summable_iff {ι E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ι → E} {g : ι → E} (h : f ~[cofinite] g) :
     Summable f ↔ Summable g :=
   ⟨fun hf => summable_of_isEquivalent hf h.symm, fun hg => summable_of_isEquivalent hg h⟩
 #align is_equivalent.summable_iff IsEquivalent.summable_iff
 
-theorem IsEquivalent.summable_iff_nat {E : Type _} [NormedAddCommGroup E] [NormedSpace ℝ E]
+theorem IsEquivalent.summable_iff_nat {E : Type*} [NormedAddCommGroup E] [NormedSpace ℝ E]
     [FiniteDimensional ℝ E] {f : ℕ → E} {g : ℕ → E} (h : f ~[atTop] g) : Summable f ↔ Summable g :=
   ⟨fun hf => summable_of_isEquivalent_nat hf h.symm, fun hg => summable_of_isEquivalent_nat hg h⟩
 #align is_equivalent.summable_iff_nat IsEquivalent.summable_iff_nat

• depends on: #5966

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

@@ -2,11 +2,6 @@
 Copyright (c) 2019 Sébastien Gouëzel. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Sébastien Gouëzel
-
-! This file was ported from Lean 3 source module analysis.normed_space.finite_dimension
-! leanprover-community/mathlib commit 9425b6f8220e53b059f5a4904786c3c4b50fc057
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.Asymptotics.AsymptoticEquivalent
 import Mathlib.Analysis.NormedSpace.AddTorsor
@@ -17,6 +12,8 @@ import Mathlib.Topology.Algebra.Module.FiniteDimension
 import Mathlib.Topology.Algebra.InfiniteSum.Module
 import Mathlib.Topology.Instances.Matrix
 
+#align_import analysis.normed_space.finite_dimension from "leanprover-community/mathlib"@"9425b6f8220e53b059f5a4904786c3c4b50fc057"
+
 /-!
 # Finite dimensional normed spaces over complete fields
 

• depends on: https://github.com/leanprover/std4/pull/163
• depends on: #5584
• depends on: #5715
• depends on: #5729
• depends on: https://github.com/leanprover/std4/pull/173

Co-authored-by: Komyyy <pol_tta@outlook.jp> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Mario Carneiro <di.gama@gmail.com>

@@ -329,7 +329,7 @@ instance [FiniteDimensional 𝕜 E] [SecondCountableTopology F] :
   obtain
     ⟨C : ℝ, C_pos : 0 < C, hC :
       ∀ {φ : E →L[𝕜] F} {M : ℝ}, 0 ≤ M → (∀ i, ‖φ (v i)‖ ≤ M) → ‖φ‖ ≤ C * M⟩ :=
-    v.exists_op_norm_le
+    v.exists_op_norm_le (E := E) (F := F)
   have h_2C : 0 < 2 * C := mul_pos zero_lt_two C_pos
   have hε2C : 0 < ε / (2 * C) := div_pos ε_pos h_2C
   have : ∀ φ : E →L[𝕜] F, ∃ n : Fin d → ℕ, ‖φ - (v.constrL <| u ∘ n)‖ ≤ ε / 2 := by

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

@@ -242,7 +242,7 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
       Tendsto.norm <| ((continuous_apply i).tendsto _).sub tendsto_const_nhds
   simp only [sub_self, norm_zero, Finset.sum_const_zero] at this
   refine' (this.eventually (gt_mem_nhds <| inv_pos.2 K0)).mono fun g hg => _
-  replace hg : (∑ i, ‖g i - f i‖₊) < K⁻¹
+  replace hg : ∑ i, ‖g i - f i‖₊ < K⁻¹
   · rw [← NNReal.coe_lt_coe]
     push_cast
     exact hg
@@ -285,7 +285,7 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M := by
         gcongr
         calc
-          (∑ i, ‖v.equivFun e i‖₊) ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
+          ∑ i, ‖v.equivFun e i‖₊ ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le

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

@@ -621,7 +621,7 @@ instance (priority := 900) FiniteDimensional.proper_real (E : Type u) [NormedAdd
 `IsCompact.exists_mem_frontier_infDist_compl_eq_dist`. -/
 theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGroup E]
     [NormedSpace ℝ E] [FiniteDimensional ℝ E] {x : E} {s : Set E} (hx : x ∈ s) (hs : s ≠ univ) :
-    ∃ y ∈ frontier s, Metric.infDist x (sᶜ) = dist x y := by
+    ∃ y ∈ frontier s, Metric.infDist x sᶜ = dist x y := by
   rcases Metric.exists_mem_closure_infDist_eq_dist (nonempty_compl.2 hs) x with ⟨y, hys, hyd⟩
   rw [closure_compl] at hys
   refine'
@@ -638,7 +638,7 @@ theorem exists_mem_frontier_infDist_compl_eq_dist {E : Type _} [NormedAddCommGro
 nonrec theorem IsCompact.exists_mem_frontier_infDist_compl_eq_dist {E : Type _}
     [NormedAddCommGroup E] [NormedSpace ℝ E] [Nontrivial E] {x : E} {K : Set E} (hK : IsCompact K)
     (hx : x ∈ K) :
-    ∃ y ∈ frontier K, Metric.infDist x (Kᶜ) = dist x y := by
+    ∃ y ∈ frontier K, Metric.infDist x Kᶜ = dist x y := by
   obtain hx' | hx' : x ∈ interior K ∪ frontier K := by
     rw [← closure_eq_interior_union_frontier]
     exact subset_closure hx

Changes are of the form

• some_tactic at h⊢ -> some_tactic at h ⊢
• some_tactic at h -> some_tactic at h

@@ -235,7 +235,7 @@ theorem LinearMap.exists_antilipschitzWith [FiniteDimensional 𝕜 E] (f : E →
 protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     (hf : LinearIndependent 𝕜 f) : ∀ᶠ g in 𝓝 f, LinearIndependent 𝕜 g := by
   cases nonempty_fintype ι
-  simp only [Fintype.linearIndependent_iff'] at hf⊢
+  simp only [Fintype.linearIndependent_iff'] at hf ⊢
   rcases LinearMap.exists_antilipschitzWith _ hf with ⟨K, K0, hK⟩
   have : Tendsto (fun g : ι → E => ∑ i, ‖g i - f i‖) (𝓝 f) (𝓝 <| ∑ i, ‖f i - f i‖) :=
     tendsto_finset_sum _ fun i _ =>

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -435,7 +435,7 @@ theorem exists_seq_norm_le_one_le_norm_sub' {c : 𝕜} (hc : 1 < ‖c‖) {R : 
 #align exists_seq_norm_le_one_le_norm_sub' exists_seq_norm_le_one_le_norm_sub'
 
 theorem exists_seq_norm_le_one_le_norm_sub (h : ¬FiniteDimensional 𝕜 E) :
-    ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ := by
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ := by
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 1 < ‖c‖ := NormedField.exists_one_lt_norm 𝕜
   have A : ‖c‖ < ‖c‖ + 1 := by linarith
   rcases exists_seq_norm_le_one_le_norm_sub' hc A h with ⟨f, hf⟩
@@ -450,7 +450,7 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     (h : IsCompact (Metric.closedBall (0 : E) r)) : FiniteDimensional 𝕜 E := by
   by_contra hfin
   obtain ⟨R, f, Rgt, fle, lef⟩ :
-    ∃ (R : ℝ)(f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
+    ∃ (R : ℝ) (f : ℕ → E), 1 < R ∧ (∀ n, ‖f n‖ ≤ R) ∧ ∀ m n, m ≠ n → 1 ≤ ‖f m - f n‖ :=
     exists_seq_norm_le_one_le_norm_sub hfin
   have rRpos : 0 < r / R := div_pos rpos (zero_lt_one.trans Rgt)
   obtain ⟨c, hc⟩ : ∃ c : 𝕜, 0 < ‖c‖ ∧ ‖c‖ < r / R := NormedField.exists_norm_lt _ rRpos

Following on from #4702, another hundred sample uses of the gcongr tactic.

@@ -253,7 +253,8 @@ protected theorem LinearIndependent.eventually {ι} [Finite ι] {f : ι → E}
     Finset.sum_sub_distrib, ← smul_sub, ← sub_smul, NNReal.coe_sum, coe_nnnorm, Finset.sum_mul]
   refine' norm_sum_le_of_le _ fun i _ => _
   rw [norm_smul, mul_comm]
-  exact mul_le_mul_of_nonneg_left (norm_le_pi_norm (v - u) i) (norm_nonneg _)
+  gcongr
+  exact norm_le_pi_norm (v - u) i
 #align linear_independent.eventually LinearIndependent.eventually
 
 theorem isOpen_setOf_linearIndependent {ι : Type _} [Finite ι] :
@@ -279,15 +280,13 @@ theorem Basis.op_nnnorm_le {ι : Type _} [Fintype ι] (v : Basis ι 𝕜 E) {u :
       _ = ‖∑ i, v.equivFun e i • (u <| v i)‖₊ := by simp [u.map_sum, LinearMap.map_smul]
       _ ≤ ∑ i, ‖v.equivFun e i • (u <| v i)‖₊ := (nnnorm_sum_le _ _)
       _ = ∑ i, ‖v.equivFun e i‖₊ * ‖u (v i)‖₊ := by simp only [nnnorm_smul]
-      _ ≤ ∑ i, ‖v.equivFun e i‖₊ * M :=
-        (Finset.sum_le_sum fun i _ => mul_le_mul_of_nonneg_left (hu i) (zero_le _))
+      _ ≤ ∑ i, ‖v.equivFun e i‖₊ * M := by gcongr; apply hu
       _ = (∑ i, ‖v.equivFun e i‖₊) * M := Finset.sum_mul.symm
-      _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M :=
-        (suffices _ from mul_le_mul_of_nonneg_right this (zero_le M)
+      _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) * M := by
+        gcongr
         calc
           (∑ i, ‖v.equivFun e i‖₊) ≤ Fintype.card ι • ‖φ e‖₊ := Pi.sum_nnnorm_apply_le_nnnorm _
           _ ≤ Fintype.card ι • (‖φ‖₊ * ‖e‖₊) := nsmul_le_nsmul_of_le_right (φ.le_op_nnnorm e) _
-          )
       _ = Fintype.card ι • ‖φ‖₊ * M * ‖e‖₊ := by simp only [smul_mul_assoc, mul_right_comm]
 #align basis.op_nnnorm_le Basis.op_nnnorm_le
 
@@ -460,7 +459,7 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     intro n
     simp only [norm_smul, dist_zero_right, Metric.mem_closedBall]
     calc
-      ‖c‖ * ‖f n‖ ≤ r / R * R := mul_le_mul hc.2.le (fle n) (norm_nonneg _) rRpos.le
+      ‖c‖ * ‖f n‖ ≤ r / R * R := by gcongr; exact hc.2.le; apply fle
       _ = r := by field_simp [(zero_lt_one.trans Rgt).ne']
   -- Porting note: moved type ascriptions because of exists_prop changes
   obtain ⟨x : E, _ : x ∈ Metric.closedBall (0 : E) r, φ : ℕ → ℕ, φmono : StrictMono φ,
@@ -473,7 +472,8 @@ theorem finiteDimensional_of_isCompact_closed_ball₀ {r : ℝ} (rpos : 0 < r)
     ‖c‖ ≤ dist (g (φ (N + 1))) (g (φ N)) := by
       conv_lhs => rw [← mul_one ‖c‖]
       simp only [dist_eq_norm, ← smul_sub, norm_smul]
-      apply mul_le_mul_of_nonneg_left (lef _ _ (ne_of_gt _)) (norm_nonneg _)
+      gcongr
+      apply lef _ _ (ne_of_gt _)
       exact φmono (Nat.lt_succ_self N)
     _ < ‖c‖ := hN (N + 1) (Nat.le_succ N)
 #align finite_dimensional_of_is_compact_closed_ball₀ finiteDimensional_of_isCompact_closed_ball₀
@@ -569,7 +569,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
       rw [smul_mul_assoc]
       refine' Finset.sum_le_card_nsmul _ _ _ fun i _ => _
       rw [norm_smul, mul_comm]
-      exact mul_le_mul (norm_le_pi_norm g i) (norm_le_pi_norm t i) (norm_nonneg _) (norm_nonneg g) }
+      gcongr <;> apply norm_le_pi_norm }
 #align continuous_linear_equiv.pi_ring ContinuousLinearEquiv.piRing
 
 /-- A family of continuous linear maps is continuous on `s` if all its applications are. -/

@@ -564,7 +564,7 @@ def ContinuousLinearEquiv.piRing (ι : Type _) [Fintype ι] [DecidableEq ι] :
       rw [← nsmul_eq_mul]
       refine op_norm_le_bound _ (nsmul_nonneg (norm_nonneg g) (Fintype.card ι)) fun t => ?_
       simp_rw [LinearMap.coe_comp, LinearEquiv.coe_toLinearMap, Function.comp_apply,
-        LinearMap.coe_to_continuous_linear_map', LinearEquiv.piRing_symm_apply]
+        LinearMap.coe_toContinuousLinearMap', LinearEquiv.piRing_symm_apply]
       apply le_trans (norm_sum_le _ _)
       rw [smul_mul_assoc]
       refine' Finset.sum_le_card_nsmul _ _ _ fun i _ => _