analysis.normed_space.compact_operator ⟷ Mathlib.Analysis.NormedSpace.CompactOperator

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

@@ -120,7 +120,7 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
   let ⟨c, hc⟩ := NormedField.exists_lt_norm 𝕜₁ r
   let this := ne_zero_of_norm_ne_zero (hr.trans hc).Ne.symm
   ⟨σ₁₂ c • K, hK.image <| continuous_id.const_smul (σ₁₂ c), by
-    rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
+    rw [image_subset_iff, preimage_smul_setₛₗ_of_units _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
 #align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
 -/
 
@@ -420,7 +420,8 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   suffices (σ₁₂ <| c⁻¹) • K ⊆ U by
     refine' mem_of_superset _ this
     have : IsUnit c⁻¹ := hcnz.is_unit.inv
-    rwa [mem_map, preimage_smul_setₛₗ _ _ _ f this, set_smul_mem_nhds_zero_iff (inv_ne_zero hcnz)]
+    rwa [mem_map, preimage_smul_setₛₗ_of_units _ _ _ f this,
+      set_smul_mem_nhds_zero_iff (inv_ne_zero hcnz)]
     infer_instance
   -- Since `σ₁₂ c⁻¹` = `(σ₁₂ c)⁻¹`, we have to prove that `K ⊆ σ₁₂ c • U`.
   rw [map_inv₀, ← subset_set_smul_iff₀ ((map_ne_zero σ₁₂).mpr hcnz)]

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

@@ -303,7 +303,7 @@ theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f :
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
   by
   have := g.continuous.tendsto 0
-  rw [map_zero] at this 
+  rw [map_zero] at this
   rcases hf with ⟨K, hK, hKf⟩
   exact ⟨K, hK, this hKf⟩
 #align is_compact_operator.comp_clm IsCompactOperator.comp_clm
@@ -379,9 +379,9 @@ of an endomorphism `f : E →ₗ E` to an endomorphism `f' : ↥V →ₗ ↥V`.
 `f' : ↥U →ₛₗ ↥V` of a compact operator `f : E →ₛₗ F` is compact, apply
 `is_compact_operator.cod_restrict` to `f ∘ U.subtypeL`, which is compact by
 `is_compact_operator.comp_clm`. -/
-theorem IsCompactOperator.restrict' [SeparatedSpace M₂] {f : M₂ →ₗ[R₂] M₂}
-    (hf : IsCompactOperator f) {V : Submodule R₂ M₂} (hV : ∀ v ∈ V, f v ∈ V)
-    [hcomplete : CompleteSpace V] : IsCompactOperator (f.restrict hV) :=
+theorem IsCompactOperator.restrict' [T0Space M₂] {f : M₂ →ₗ[R₂] M₂} (hf : IsCompactOperator f)
+    {V : Submodule R₂ M₂} (hV : ∀ v ∈ V, f v ∈ V) [hcomplete : CompleteSpace V] :
+    IsCompactOperator (f.restrict hV) :=
   hf.restrict hV (completeSpace_coe_iff_isComplete.mp hcomplete).IsClosed
 #align is_compact_operator.restrict' IsCompactOperator.restrict'
 -/
@@ -405,7 +405,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   -- Since `f` is linear, we only need to show that it is continuous at zero.
   -- Let `U` be a neighborhood of `0` in `M₂`.
   refine' continuous_of_continuousAt_zero f fun U hU => _
-  rw [map_zero] at hU 
+  rw [map_zero] at hU
   -- The compactness of `f` gives us a compact set `K : set M₂` such that `f ⁻¹' K` is a
   -- neighborhood of `0` in `M₁`.
   rcases hf with ⟨K, hK, hKf⟩
@@ -478,7 +478,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   by
   refine' isClosed_of_closure_subset _
   rintro u hu
-  rw [mem_closure_iff_nhds_zero] at hu 
+  rw [mem_closure_iff_nhds_zero] at hu
   suffices TotallyBounded (u '' Metric.closedBall 0 1)
     by
     change IsCompactOperator (u : M₁ →ₛₗ[σ₁₂] M₂)

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

@@ -98,8 +98,8 @@ theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M
   by
   rw [isCompactOperator_iff_exists_mem_nhds_image_subset_compact]
   exact
-    ⟨fun ⟨V, hV, K, hK, hKV⟩ => ⟨V, hV, isCompact_closure_of_subset_compact hK hKV⟩,
-      fun ⟨V, hV, hVc⟩ => ⟨V, hV, closure (f '' V), hVc, subset_closure⟩⟩
+    ⟨fun ⟨V, hV, K, hK, hKV⟩ => ⟨V, hV, IsCompact.closure_of_subset hK hKV⟩, fun ⟨V, hV, hVc⟩ =>
+      ⟨V, hV, closure (f '' V), hVc, subset_closure⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image
 -/
 
@@ -129,7 +129,7 @@ theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
   let ⟨K, hK, hKf⟩ := hf.image_subset_compact_of_isVonNBounded hS
-  isCompact_closure_of_subset_compact hK hKf
+  IsCompact.closure_of_subset hK hKf
 #align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBounded
 -/
 

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

@@ -3,8 +3,8 @@ Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 -/
-import Mathbin.Analysis.LocallyConvex.Bounded
-import Mathbin.Topology.Algebra.Module.StrongTopology
+import Analysis.LocallyConvex.Bounded
+import Topology.Algebra.Module.StrongTopology
 
 #align_import analysis.normed_space.compact_operator from "leanprover-community/mathlib"@"781cb2eed038c4caf53bdbd8d20a95e5822d77df"
 

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

@@ -143,19 +143,19 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 
 #print IsCompactOperator.image_subset_compact_of_bounded /-
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
-    {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
+    {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Bornology.IsBounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded
-    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
+    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.isBounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 -/
 
 #print IsCompactOperator.isCompact_closure_image_of_bounded /-
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
-    (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
+    (hS : Bornology.IsBounded S) : IsCompact (closure <| f '' S) :=
   hf.isCompact_closure_image_of_isVonNBounded
-    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
+    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.isBounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 -/
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
-
-! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Analysis.LocallyConvex.Bounded
 import Mathbin.Topology.Algebra.Module.StrongTopology
 
+#align_import analysis.normed_space.compact_operator from "leanprover-community/mathlib"@"781cb2eed038c4caf53bdbd8d20a95e5822d77df"
+
 /-!
 # Compact operators
 

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

@@ -73,10 +73,12 @@ def IsCompactOperator {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁] [
 #align is_compact_operator IsCompactOperator
 -/
 
+#print isCompactOperator_zero /-
 theorem isCompactOperator_zero {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁]
     [TopologicalSpace M₂] [Zero M₂] : IsCompactOperator (0 : M₁ → M₂) :=
   ⟨{0}, isCompact_singleton, mem_of_superset univ_mem fun x _ => rfl⟩
 #align is_compact_operator_zero isCompactOperator_zero
+-/
 
 section Characterizations
 
@@ -85,12 +87,15 @@ section
 variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type _}
   [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂]
 
+#print isCompactOperator_iff_exists_mem_nhds_image_subset_compact /-
 theorem isCompactOperator_iff_exists_mem_nhds_image_subset_compact (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), ∃ K : Set M₂, IsCompact K ∧ f '' V ⊆ K :=
   ⟨fun ⟨K, hK, hKf⟩ => ⟨f ⁻¹' K, hKf, K, hK, image_preimage_subset _ _⟩, fun ⟨V, hV, K, hK, hVK⟩ =>
     ⟨K, hK, mem_of_superset hV (image_subset_iff.mp hVK)⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_image_subset_compact isCompactOperator_iff_exists_mem_nhds_image_subset_compact
+-/
 
+#print isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image /-
 theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M₂] (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), IsCompact (closure <| f '' V) :=
   by
@@ -99,6 +104,7 @@ theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M
     ⟨fun ⟨V, hV, K, hK, hKV⟩ => ⟨V, hV, isCompact_closure_of_subset_compact hK hKV⟩,
       fun ⟨V, hV, hVc⟩ => ⟨V, hV, closure (f '' V), hVc, subset_closure⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image
+-/
 
 end
 
@@ -108,6 +114,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
+#print IsCompactOperator.image_subset_compact_of_isVonNBounded /-
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
@@ -118,13 +125,16 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
   ⟨σ₁₂ c • K, hK.image <| continuous_id.const_smul (σ₁₂ c), by
     rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
 #align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
+-/
 
+#print IsCompactOperator.isCompact_closure_image_of_isVonNBounded /-
 theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
   let ⟨K, hK, hKf⟩ := hf.image_subset_compact_of_isVonNBounded hS
   isCompact_closure_of_subset_compact hK hKf
 #align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBounded
+-/
 
 end Bounded
 
@@ -134,43 +144,56 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ M₃ : Type _} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
+#print IsCompactOperator.image_subset_compact_of_bounded /-
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
+-/
 
+#print IsCompactOperator.isCompact_closure_image_of_bounded /-
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
     (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
   hf.isCompact_closure_image_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
+-/
 
+#print IsCompactOperator.image_ball_subset_compact /-
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
+-/
 
+#print IsCompactOperator.image_closedBall_subset_compact /-
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
+-/
 
+#print IsCompactOperator.isCompact_closure_image_ball /-
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.ball 0 r) :=
   hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
+-/
 
+#print IsCompactOperator.isCompact_closure_image_closedBall /-
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.closedBall 0 r) :=
   hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
+-/
 
+#print isCompactOperator_iff_image_ball_subset_compact /-
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -178,7 +201,9 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
     (isCompactOperator_iff_exists_mem_nhds_image_subset_compact f).mpr
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compact
+-/
 
+#print isCompactOperator_iff_image_closedBall_subset_compact /-
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
@@ -186,7 +211,9 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
     (isCompactOperator_iff_exists_mem_nhds_image_subset_compact f).mpr
       ⟨Metric.closedBall 0 r, closedBall_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compact
+-/
 
+#print isCompactOperator_iff_isCompact_closure_image_ball /-
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.ball 0 r) :=
@@ -194,7 +221,9 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
     (isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image f).mpr
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, hf⟩⟩
 #align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ball
+-/
 
+#print isCompactOperator_iff_isCompact_closure_image_closedBall /-
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.closedBall 0 r) :=
@@ -202,6 +231,7 @@ theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousCons
     (isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image f).mpr
       ⟨Metric.closedBall 0 r, closedBall_mem_nhds _ hr, hf⟩⟩
 #align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBall
+-/
 
 end NormedSpace
 
@@ -214,6 +244,7 @@ variable {R₁ R₂ R₃ R₄ : Type _} [Semiring R₁] [Semiring R₂] [CommSem
   [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂] [TopologicalSpace M₃]
   [AddCommGroup M₃] [TopologicalSpace M₄] [AddCommGroup M₄]
 
+#print IsCompactOperator.smul /-
 theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     [ContinuousConstSMul S M₂] {f : M₁ → M₂} (hf : IsCompactOperator f) (c : S) :
     IsCompactOperator (c • f) :=
@@ -221,7 +252,9 @@ theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
   ⟨c • K, hK.image <| continuous_id.const_smul c,
     mem_of_superset hKf fun x hx => smul_mem_smul_set hx⟩
 #align is_compact_operator.smul IsCompactOperator.smul
+-/
 
+#print IsCompactOperator.add /-
 theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f + g) :=
   let ⟨A, hA, hAf⟩ := hf
@@ -229,17 +262,22 @@ theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : I
   ⟨A + B, hA.add hB,
     mem_of_superset (inter_mem hAf hBg) fun x ⟨hxA, hxB⟩ => Set.add_mem_add hxA hxB⟩
 #align is_compact_operator.add IsCompactOperator.add
+-/
 
+#print IsCompactOperator.neg /-
 theorem IsCompactOperator.neg [ContinuousNeg M₄] {f : M₁ → M₄} (hf : IsCompactOperator f) :
     IsCompactOperator (-f) :=
   let ⟨K, hK, hKf⟩ := hf
   ⟨-K, hK.neg, mem_of_superset hKf fun x (hx : f x ∈ K) => Set.neg_mem_neg.mpr hx⟩
 #align is_compact_operator.neg IsCompactOperator.neg
+-/
 
+#print IsCompactOperator.sub /-
 theorem IsCompactOperator.sub [TopologicalAddGroup M₄] {f g : M₁ → M₄} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f - g) := by
   rw [sub_eq_add_neg] <;> exact hf.add hg.neg
 #align is_compact_operator.sub IsCompactOperator.sub
+-/
 
 variable (σ₁₄ M₁ M₄)
 
@@ -263,6 +301,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type _} [TopologicalSpace M₁] [TopologicalSpace M₂]
   [TopologicalSpace M₃] [AddCommMonoid M₁] [Module R₁ M₁]
 
+#print IsCompactOperator.comp_clm /-
 theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f : M₂ → M₃}
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
   by
@@ -271,7 +310,9 @@ theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f :
   rcases hf with ⟨K, hK, hKf⟩
   exact ⟨K, hK, this hKf⟩
 #align is_compact_operator.comp_clm IsCompactOperator.comp_clm
+-/
 
+#print IsCompactOperator.continuous_comp /-
 theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOperator f) {g : M₂ → M₃}
     (hg : Continuous g) : IsCompactOperator (g ∘ f) :=
   by
@@ -280,12 +321,15 @@ theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOpe
   nth_rw 2 [preimage_comp]
   exact preimage_mono (subset_preimage_image _ _)
 #align is_compact_operator.continuous_comp IsCompactOperator.continuous_comp
+-/
 
+#print IsCompactOperator.clm_comp /-
 theorem IsCompactOperator.clm_comp [AddCommMonoid M₂] [Module R₂ M₂] [AddCommMonoid M₃]
     [Module R₃ M₃] {f : M₁ → M₂} (hf : IsCompactOperator f) (g : M₂ →SL[σ₂₃] M₃) :
     IsCompactOperator (g ∘ f) :=
   hf.continuous_comp g.Continuous
 #align is_compact_operator.clm_comp IsCompactOperator.clm_comp
+-/
 
 end Comp
 
@@ -295,12 +339,14 @@ variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ 
   [TopologicalSpace M₁] [TopologicalSpace M₂] [AddCommMonoid M₁] [AddCommMonoid M₂] [Module R₁ M₁]
   [Module R₂ M₂]
 
+#print IsCompactOperator.codRestrict /-
 theorem IsCompactOperator.codRestrict {f : M₁ → M₂} (hf : IsCompactOperator f) {V : Submodule R₂ M₂}
     (hV : ∀ x, f x ∈ V) (h_closed : IsClosed (V : Set M₂)) :
     IsCompactOperator (Set.codRestrict f V hV) :=
   let ⟨K, hK, hKf⟩ := hf
   ⟨coe ⁻¹' K, (closedEmbedding_subtype_val h_closed).isCompact_preimage hK, hKf⟩
 #align is_compact_operator.cod_restrict IsCompactOperator.codRestrict
+-/
 
 end CodRestrict
 
@@ -311,6 +357,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   [TopologicalSpace M₃] [AddCommMonoid M₁] [AddCommMonoid M₂] [AddCommMonoid M₃] [Module R₁ M₁]
   [Module R₂ M₂] [Module R₃ M₃]
 
+#print IsCompactOperator.restrict /-
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
 
@@ -324,7 +371,9 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
     IsCompactOperator (f.restrict hV) :=
   (hf.comp_clm V.subtypeL).codRestrict (SetLike.forall.2 hV) h_closed
 #align is_compact_operator.restrict IsCompactOperator.restrict
+-/
 
+#print IsCompactOperator.restrict' /-
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
 
@@ -338,6 +387,7 @@ theorem IsCompactOperator.restrict' [SeparatedSpace M₂] {f : M₂ →ₗ[R₂]
     [hcomplete : CompleteSpace V] : IsCompactOperator (f.restrict hV) :=
   hf.restrict hV (completeSpace_coe_iff_isComplete.mp hcomplete).IsClosed
 #align is_compact_operator.restrict' IsCompactOperator.restrict'
+-/
 
 end Restrict
 
@@ -348,6 +398,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
   [TopologicalSpace M₂] [AddCommGroup M₂] [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [TopologicalAddGroup M₁]
   [ContinuousConstSMul 𝕜₁ M₁] [TopologicalAddGroup M₂] [ContinuousSMul 𝕜₂ M₂]
 
+#print IsCompactOperator.continuous /-
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     Continuous f :=
@@ -382,34 +433,44 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   rw [RingHomIsometric.is_iso]
   exact hc.le
 #align is_compact_operator.continuous IsCompactOperator.continuous
+-/
 
+#print ContinuousLinearMap.mkOfIsCompactOperator /-
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     M₁ →SL[σ₁₂] M₂ :=
   ⟨f, hf.Continuous⟩
 #align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperator
+-/
 
+#print ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap /-
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
     (ContinuousLinearMap.mkOfIsCompactOperator hf : M₁ →ₛₗ[σ₁₂] M₂) = f :=
   rfl
 #align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap
+-/
 
+#print ContinuousLinearMap.coe_mkOfIsCompactOperator /-
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) : (ContinuousLinearMap.mkOfIsCompactOperator hf : M₁ → M₂) = f :=
   rfl
 #align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperator
+-/
 
+#print ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator /-
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
     ContinuousLinearMap.mkOfIsCompactOperator hf ∈ compactOperator σ₁₂ M₁ M₂ :=
   hf
 #align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator
+-/
 
 end Continuous
 
+#print isClosed_setOf_isCompactOperator /-
 /-- The set of compact operators from a normed space to a complete topological vector space is
 closed. -/
 theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
@@ -450,7 +511,9 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   rw [ContinuousLinearMap.sub_apply]
   abel
 #align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperator
+-/
 
+#print compactOperator_topologicalClosure /-
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
@@ -459,7 +522,9 @@ theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [Nontrivia
     (compactOperator σ₁₂ M₁ M₂).topologicalClosure = compactOperator σ₁₂ M₁ M₂ :=
   SetLike.ext' isClosed_setOf_isCompactOperator.closure_eq
 #align compact_operator_topological_closure compactOperator_topologicalClosure
+-/
 
+#print isCompactOperator_of_tendsto /-
 theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
@@ -468,4 +533,5 @@ theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [Nontrivially
     (hF : ∀ᶠ i in l, IsCompactOperator (F i)) : IsCompactOperator f :=
   isClosed_setOf_isCompactOperator.mem_of_tendsto hf hF
 #align is_compact_operator_of_tendsto isCompactOperator_of_tendsto
+-/
 

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

@@ -248,7 +248,7 @@ variable (σ₁₄ M₁ M₄)
 def compactOperator [Module R₁ M₁] [Module R₄ M₄] [ContinuousConstSMul R₄ M₄]
     [TopologicalAddGroup M₄] : Submodule R₄ (M₁ →SL[σ₁₄] M₄)
     where
-  carrier := { f | IsCompactOperator f }
+  carrier := {f | IsCompactOperator f}
   add_mem' f g hf hg := hf.add hg
   zero_mem' := isCompactOperator_zero
   smul_mem' c f hf := hf.smul c
@@ -416,7 +416,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
     [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂] :
-    IsClosed { f : M₁ →SL[σ₁₂] M₂ | IsCompactOperator f } :=
+    IsClosed {f : M₁ →SL[σ₁₂] M₂ | IsCompactOperator f} :=
   by
   refine' isClosed_of_closure_subset _
   rintro u hu
@@ -430,7 +430,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   intro U hU
   rcases exists_nhds_zero_half hU with ⟨V, hV, hVU⟩
   let SV : Set M₁ × Set M₂ := ⟨closed_ball 0 1, -V⟩
-  rcases hu { f | ∀ x ∈ SV.1, f x ∈ SV.2 }
+  rcases hu {f | ∀ x ∈ SV.1, f x ∈ SV.2}
       (continuous_linear_map.has_basis_nhds_zero.mem_of_mem
         ⟨NormedSpace.isVonNBounded_closedBall _ _ _, neg_mem_nhds_zero M₂ hV⟩) with
     ⟨v, hv, huv⟩

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

@@ -267,7 +267,7 @@ theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f :
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
   by
   have := g.continuous.tendsto 0
-  rw [map_zero] at this
+  rw [map_zero] at this 
   rcases hf with ⟨K, hK, hKf⟩
   exact ⟨K, hK, this hKf⟩
 #align is_compact_operator.comp_clm IsCompactOperator.comp_clm
@@ -357,7 +357,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   -- Since `f` is linear, we only need to show that it is continuous at zero.
   -- Let `U` be a neighborhood of `0` in `M₂`.
   refine' continuous_of_continuousAt_zero f fun U hU => _
-  rw [map_zero] at hU
+  rw [map_zero] at hU 
   -- The compactness of `f` gives us a compact set `K : set M₂` such that `f ⁻¹' K` is a
   -- neighborhood of `0` in `M₁`.
   rcases hf with ⟨K, hK, hKf⟩
@@ -420,7 +420,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   by
   refine' isClosed_of_closure_subset _
   rintro u hu
-  rw [mem_closure_iff_nhds_zero] at hu
+  rw [mem_closure_iff_nhds_zero] at hu 
   suffices TotallyBounded (u '' Metric.closedBall 0 1)
     by
     change IsCompactOperator (u : M₁ →ₛₗ[σ₁₂] M₂)
@@ -439,13 +439,13 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
     ⟨T, hT, hTv⟩
   have hTv : v '' closed_ball 0 1 ⊆ _ := subset_closure.trans hTv
   refine' ⟨T, hT, _⟩
-  rw [image_subset_iff, preimage_Union₂] at hTv⊢
+  rw [image_subset_iff, preimage_Union₂] at hTv ⊢
   intro x hx
   specialize hTv hx
-  rw [mem_Union₂] at hTv⊢
+  rw [mem_Union₂] at hTv ⊢
   rcases hTv with ⟨t, ht, htx⟩
   refine' ⟨t, ht, _⟩
-  rw [mem_preimage, mem_vadd_set_iff_neg_vadd_mem, vadd_eq_add, neg_add_eq_sub] at htx⊢
+  rw [mem_preimage, mem_vadd_set_iff_neg_vadd_mem, vadd_eq_add, neg_add_eq_sub] at htx ⊢
   convert hVU _ htx _ (huv x hx) using 1
   rw [ContinuousLinearMap.sub_apply]
   abel

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

@@ -58,7 +58,7 @@ Compact operator
 
 open Function Set Filter Bornology Metric
 
-open Pointwise BigOperators Topology
+open scoped Pointwise BigOperators Topology
 
 #print IsCompactOperator /-
 /-- A compact operator between two topological vector spaces. This definition is usually

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

@@ -73,12 +73,6 @@ def IsCompactOperator {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁] [
 #align is_compact_operator IsCompactOperator
 -/
 
-/- warning: is_compact_operator_zero -> isCompactOperator_zero is a dubious translation:
-lean 3 declaration is
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : Zero.{u1} M₁] [_inst_2 : TopologicalSpace.{u1} M₁] [_inst_3 : TopologicalSpace.{u2} M₂] [_inst_4 : Zero.{u2} M₂], IsCompactOperator.{u1, u2} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u1 u2} (M₁ -> M₂) 0 (OfNat.mk.{max u1 u2} (M₁ -> M₂) 0 (Zero.zero.{max u1 u2} (M₁ -> M₂) (Pi.instZero.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => _inst_4)))))
-but is expected to have type
-  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Zero.{u2} M₁] [_inst_2 : TopologicalSpace.{u2} M₁] [_inst_3 : TopologicalSpace.{u1} M₂] [_inst_4 : Zero.{u1} M₂], IsCompactOperator.{u2, u1} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u2 u1} (M₁ -> M₂) 0 (Zero.toOfNat0.{max u2 u1} (M₁ -> M₂) (Pi.instZero.{u2, u1} M₁ (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.67 : M₁) => M₂) (fun (i : M₁) => _inst_4))))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_zero isCompactOperator_zeroₓ'. -/
 theorem isCompactOperator_zero {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁]
     [TopologicalSpace M₂] [Zero M₂] : IsCompactOperator (0 : M₁ → M₂) :=
   ⟨{0}, isCompact_singleton, mem_of_superset univ_mem fun x _ => rfl⟩
@@ -91,24 +85,12 @@ section
 variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type _}
   [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂]
 
-/- warning: is_compact_operator_iff_exists_mem_nhds_image_subset_compact -> isCompactOperator_iff_exists_mem_nhds_image_subset_compact is a dubious translation:
-lean 3 declaration is
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4))) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => Exists.{0} (Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) (fun (H : Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) => Exists.{succ u2} (Set.{u2} M₂) (fun (K : Set.{u2} M₂) => And (IsCompact.{u2} M₂ _inst_5 K) (HasSubset.Subset.{u2} (Set.{u2} M₂) (Set.hasSubset.{u2} M₂) (Set.image.{u1, u2} M₁ M₂ f V) K)))))
-but is expected to have type
-  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] (f : M₁ -> M₂), Iff (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 f) (Exists.{succ u2} (Set.{u2} M₁) (fun (V : Set.{u2} M₁) => And (Membership.mem.{u2, u2} (Set.{u2} M₁) (Filter.{u2} M₁) (instMembershipSetFilter.{u2} M₁) V (nhds.{u2} M₁ _inst_3 (OfNat.ofNat.{u2} M₁ 0 (Zero.toOfNat0.{u2} M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)))))) (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ f V) K)))))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_exists_mem_nhds_image_subset_compact isCompactOperator_iff_exists_mem_nhds_image_subset_compactₓ'. -/
 theorem isCompactOperator_iff_exists_mem_nhds_image_subset_compact (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), ∃ K : Set M₂, IsCompact K ∧ f '' V ⊆ K :=
   ⟨fun ⟨K, hK, hKf⟩ => ⟨f ⁻¹' K, hKf, K, hK, image_preimage_subset _ _⟩, fun ⟨V, hV, K, hK, hVK⟩ =>
     ⟨K, hK, mem_of_superset hV (image_subset_iff.mp hVK)⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_image_subset_compact isCompactOperator_iff_exists_mem_nhds_image_subset_compact
 
-/- warning: is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image -> isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image is a dubious translation:
-lean 3 declaration is
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : T2Space.{u2} M₂ _inst_5] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4))) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => Exists.{0} (Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) (fun (H : Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) => IsCompact.{u2} M₂ _inst_5 (closure.{u2} M₂ _inst_5 (Set.image.{u1, u2} M₁ M₂ f V)))))
-but is expected to have type
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : T2Space.{u2} M₂ _inst_5] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => And (Membership.mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (instMembershipSetFilter.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))) (IsCompact.{u2} M₂ _inst_5 (closure.{u2} M₂ _inst_5 (Set.image.{u1, u2} M₁ M₂ f V)))))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image isCompactOperator_iff_exists_mem_nhds_isCompact_closure_imageₓ'. -/
 theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M₂] (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), IsCompact (closure <| f '' V) :=
   by
@@ -126,9 +108,6 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
-/- warning: is_compact_operator.image_subset_compact_of_vonN_bounded -> IsCompactOperator.image_subset_compact_of_isVonNBounded is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
@@ -140,9 +119,6 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
     rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
 #align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
 
-/- warning: is_compact_operator.is_compact_closure_image_of_vonN_bounded -> IsCompactOperator.isCompact_closure_image_of_isVonNBounded is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
@@ -158,9 +134,6 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ M₃ : Type _} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
-/- warning: is_compact_operator.image_subset_compact_of_bounded -> IsCompactOperator.image_subset_compact_of_bounded is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
@@ -168,9 +141,6 @@ theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
-/- warning: is_compact_operator.is_compact_closure_image_of_bounded -> IsCompactOperator.isCompact_closure_image_of_bounded is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
     (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
@@ -178,44 +148,29 @@ theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMu
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
-/- warning: is_compact_operator.image_ball_subset_compact -> IsCompactOperator.image_ball_subset_compact is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
 
-/- warning: is_compact_operator.image_closed_ball_subset_compact -> IsCompactOperator.image_closedBall_subset_compact is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compactₓ'. -/
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
   hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
 
-/- warning: is_compact_operator.is_compact_closure_image_ball -> IsCompactOperator.isCompact_closure_image_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ballₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.ball 0 r) :=
   hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
 
-/- warning: is_compact_operator.is_compact_closure_image_closed_ball -> IsCompactOperator.isCompact_closure_image_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBallₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.closedBall 0 r) :=
   hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
 
-/- warning: is_compact_operator_iff_image_ball_subset_compact -> isCompactOperator_iff_image_ball_subset_compact is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -224,9 +179,6 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compact
 
-/- warning: is_compact_operator_iff_image_closed_ball_subset_compact -> isCompactOperator_iff_image_closedBall_subset_compact is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
@@ -235,9 +187,6 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
       ⟨Metric.closedBall 0 r, closedBall_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compact
 
-/- warning: is_compact_operator_iff_is_compact_closure_image_ball -> isCompactOperator_iff_isCompact_closure_image_ball is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ballₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.ball 0 r) :=
@@ -246,9 +195,6 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, hf⟩⟩
 #align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ball
 
-/- warning: is_compact_operator_iff_is_compact_closure_image_closed_ball -> isCompactOperator_iff_isCompact_closure_image_closedBall is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBallₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.closedBall 0 r) :=
@@ -268,12 +214,6 @@ variable {R₁ R₂ R₃ R₄ : Type _} [Semiring R₁] [Semiring R₂] [CommSem
   [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂] [TopologicalSpace M₃]
   [AddCommGroup M₃] [TopologicalSpace M₄] [AddCommGroup M₄]
 
-/- warning: is_compact_operator.smul -> IsCompactOperator.smul is a dubious translation:
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align is_compact_operator.smul IsCompactOperator.smulₓ'. -/
 theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     [ContinuousConstSMul S M₂] {f : M₁ → M₂} (hf : IsCompactOperator f) (c : S) :
     IsCompactOperator (c • f) :=
@@ -282,12 +222,6 @@ theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     mem_of_superset hKf fun x hx => smul_mem_smul_set hx⟩
 #align is_compact_operator.smul IsCompactOperator.smul
 
-/- warning: is_compact_operator.add -> IsCompactOperator.add is a dubious translation:
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-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_13 : ContinuousAdd.{u2} M₂ _inst_7 (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)))] {f : M₁ -> M₂} {g : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 f) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 g) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₂) (M₁ -> M₂) (M₁ -> M₂) (instHAdd.{max u1 u2} (M₁ -> M₂) (Pi.instAdd.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))))) f g))
-but is expected to have type
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_13 : ContinuousAdd.{u2} M₂ _inst_7 (AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)))] {f : M₁ -> M₂} {g : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 f) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 g) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₂) (M₁ -> M₂) (M₁ -> M₂) (instHAdd.{max u1 u2} (M₁ -> M₂) (Pi.instAdd.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))))) f g))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.add IsCompactOperator.addₓ'. -/
 theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f + g) :=
   let ⟨A, hA, hAf⟩ := hf
@@ -296,24 +230,12 @@ theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : I
     mem_of_superset (inter_mem hAf hBg) fun x ⟨hxA, hxB⟩ => Set.add_mem_add hxA hxB⟩
 #align is_compact_operator.add IsCompactOperator.add
 
-/- warning: is_compact_operator.neg -> IsCompactOperator.neg is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align is_compact_operator.neg IsCompactOperator.negₓ'. -/
 theorem IsCompactOperator.neg [ContinuousNeg M₄] {f : M₁ → M₄} (hf : IsCompactOperator f) :
     IsCompactOperator (-f) :=
   let ⟨K, hK, hKf⟩ := hf
   ⟨-K, hK.neg, mem_of_superset hKf fun x (hx : f x ∈ K) => Set.neg_mem_neg.mpr hx⟩
 #align is_compact_operator.neg IsCompactOperator.neg
 
-/- warning: is_compact_operator.sub -> IsCompactOperator.sub is a dubious translation:
-lean 3 declaration is
-  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : TopologicalAddGroup.{u2} M₄ _inst_11 (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)] {f : M₁ -> M₄} {g : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 g) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₄) (M₁ -> M₄) (M₁ -> M₄) (instHSub.{max u1 u2} (M₁ -> M₄) (Pi.instSub.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => SubNegMonoid.toHasSub.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12))))) f g))
-but is expected to have type
-  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : TopologicalAddGroup.{u2} M₄ _inst_11 (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)] {f : M₁ -> M₄} {g : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 g) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₄) (M₁ -> M₄) (M₁ -> M₄) (instHSub.{max u1 u2} (M₁ -> M₄) (Pi.instSub.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => SubNegMonoid.toSub.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12))))) f g))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.sub IsCompactOperator.subₓ'. -/
 theorem IsCompactOperator.sub [TopologicalAddGroup M₄] {f g : M₁ → M₄} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f - g) := by
   rw [sub_eq_add_neg] <;> exact hf.add hg.neg
@@ -341,9 +263,6 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type _} [TopologicalSpace M₁] [TopologicalSpace M₂]
   [TopologicalSpace M₃] [AddCommMonoid M₁] [Module R₁ M₁]
 
-/- warning: is_compact_operator.comp_clm -> IsCompactOperator.comp_clm is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.comp_clm IsCompactOperator.comp_clmₓ'. -/
 theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f : M₂ → M₃}
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
   by
@@ -353,12 +272,6 @@ theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f :
   exact ⟨K, hK, this hKf⟩
 #align is_compact_operator.comp_clm IsCompactOperator.comp_clm
 
-/- warning: is_compact_operator.continuous_comp -> IsCompactOperator.continuous_comp is a dubious translation:
-lean 3 declaration is
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} {M₃ : Type.{u3}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : TopologicalSpace.{u3} M₃] [_inst_7 : AddCommMonoid.{u1} M₁] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7))) _inst_4 _inst_5 f) -> (forall {g : M₂ -> M₃}, (Continuous.{u2, u3} M₂ M₃ _inst_5 _inst_6 g) -> (IsCompactOperator.{u1, u3} M₁ M₃ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7))) _inst_4 _inst_6 (Function.comp.{succ u1, succ u2, succ u3} M₁ M₂ M₃ g f)))
-but is expected to have type
-  forall {M₁ : Type.{u3}} {M₂ : Type.{u2}} {M₃ : Type.{u1}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : TopologicalSpace.{u1} M₃] [_inst_7 : AddCommMonoid.{u3} M₁] {f : M₁ -> M₂}, (IsCompactOperator.{u3, u2} M₁ M₂ (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7)) _inst_4 _inst_5 f) -> (forall {g : M₂ -> M₃}, (Continuous.{u2, u1} M₂ M₃ _inst_5 _inst_6 g) -> (IsCompactOperator.{u3, u1} M₁ M₃ (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7)) _inst_4 _inst_6 (Function.comp.{succ u3, succ u2, succ u1} M₁ M₂ M₃ g f)))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous_comp IsCompactOperator.continuous_compₓ'. -/
 theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOperator f) {g : M₂ → M₃}
     (hg : Continuous g) : IsCompactOperator (g ∘ f) :=
   by
@@ -368,9 +281,6 @@ theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOpe
   exact preimage_mono (subset_preimage_image _ _)
 #align is_compact_operator.continuous_comp IsCompactOperator.continuous_comp
 
-/- warning: is_compact_operator.clm_comp -> IsCompactOperator.clm_comp is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.clm_comp IsCompactOperator.clm_compₓ'. -/
 theorem IsCompactOperator.clm_comp [AddCommMonoid M₂] [Module R₂ M₂] [AddCommMonoid M₃]
     [Module R₃ M₃] {f : M₁ → M₂} (hf : IsCompactOperator f) (g : M₂ →SL[σ₂₃] M₃) :
     IsCompactOperator (g ∘ f) :=
@@ -385,9 +295,6 @@ variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ 
   [TopologicalSpace M₁] [TopologicalSpace M₂] [AddCommMonoid M₁] [AddCommMonoid M₂] [Module R₁ M₁]
   [Module R₂ M₂]
 
-/- warning: is_compact_operator.cod_restrict -> IsCompactOperator.codRestrict is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.cod_restrict IsCompactOperator.codRestrictₓ'. -/
 theorem IsCompactOperator.codRestrict {f : M₁ → M₂} (hf : IsCompactOperator f) {V : Submodule R₂ M₂}
     (hV : ∀ x, f x ∈ V) (h_closed : IsClosed (V : Set M₂)) :
     IsCompactOperator (Set.codRestrict f V hV) :=
@@ -404,9 +311,6 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   [TopologicalSpace M₃] [AddCommMonoid M₁] [AddCommMonoid M₂] [AddCommMonoid M₃] [Module R₁ M₁]
   [Module R₂ M₂] [Module R₃ M₃]
 
-/- warning: is_compact_operator.restrict -> IsCompactOperator.restrict is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict IsCompactOperator.restrictₓ'. -/
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
 
@@ -421,9 +325,6 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
   (hf.comp_clm V.subtypeL).codRestrict (SetLike.forall.2 hV) h_closed
 #align is_compact_operator.restrict IsCompactOperator.restrict
 
-/- warning: is_compact_operator.restrict' -> IsCompactOperator.restrict' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict' IsCompactOperator.restrict'ₓ'. -/
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
 
@@ -447,9 +348,6 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
   [TopologicalSpace M₂] [AddCommGroup M₂] [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [TopologicalAddGroup M₁]
   [ContinuousConstSMul 𝕜₁ M₁] [TopologicalAddGroup M₂] [ContinuousSMul 𝕜₂ M₂]
 
-/- warning: is_compact_operator.continuous -> IsCompactOperator.continuous is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous IsCompactOperator.continuousₓ'. -/
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     Continuous f :=
@@ -485,18 +383,12 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   exact hc.le
 #align is_compact_operator.continuous IsCompactOperator.continuous
 
-/- warning: continuous_linear_map.mk_of_is_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperatorₓ'. -/
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     M₁ →SL[σ₁₂] M₂ :=
   ⟨f, hf.Continuous⟩
 #align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperator
 
-/- warning: continuous_linear_map.mk_of_is_compact_operator_to_linear_map -> ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMapₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
@@ -504,18 +396,12 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛ
   rfl
 #align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap
 
-/- warning: continuous_linear_map.coe_mk_of_is_compact_operator -> ContinuousLinearMap.coe_mkOfIsCompactOperator is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperatorₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) : (ContinuousLinearMap.mkOfIsCompactOperator hf : M₁ → M₂) = f :=
   rfl
 #align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperator
 
-/- warning: continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperatorₓ'. -/
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
     ContinuousLinearMap.mkOfIsCompactOperator hf ∈ compactOperator σ₁₂ M₁ M₂ :=
@@ -524,9 +410,6 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁
 
 end Continuous
 
-/- warning: is_closed_set_of_is_compact_operator -> isClosed_setOf_isCompactOperator is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperatorₓ'. -/
 /-- The set of compact operators from a normed space to a complete topological vector space is
 closed. -/
 theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
@@ -568,9 +451,6 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   abel
 #align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperator
 
-/- warning: compact_operator_topological_closure -> compactOperator_topologicalClosure is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align compact_operator_topological_closure compactOperator_topologicalClosureₓ'. -/
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
@@ -580,9 +460,6 @@ theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [Nontrivia
   SetLike.ext' isClosed_setOf_isCompactOperator.closure_eq
 #align compact_operator_topological_closure compactOperator_topologicalClosure
 
-/- warning: is_compact_operator_of_tendsto -> isCompactOperator_of_tendsto is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_compact_operator_of_tendsto isCompactOperator_of_tendstoₓ'. -/
 theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]

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

@@ -127,10 +127,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
 /- warning: is_compact_operator.image_subset_compact_of_vonN_bounded -> IsCompactOperator.image_subset_compact_of_isVonNBounded is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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_inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_5 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -144,10 +141,7 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
 #align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
 
 /- warning: is_compact_operator.is_compact_closure_image_of_vonN_bounded -> IsCompactOperator.isCompact_closure_image_of_isVonNBounded is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -165,10 +159,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
 /- warning: is_compact_operator.image_subset_compact_of_bounded -> IsCompactOperator.image_subset_compact_of_bounded is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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(LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
@@ -178,10 +169,7 @@ theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
 /- warning: is_compact_operator.is_compact_closure_image_of_bounded -> IsCompactOperator.isCompact_closure_image_of_bounded is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ 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M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
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_inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
@@ -191,10 +179,7 @@ theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMu
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
 /- warning: is_compact_operator.image_ball_subset_compact -> IsCompactOperator.image_ball_subset_compact is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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(NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
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_inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -202,10 +187,7 @@ theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
 
 /- warning: is_compact_operator.image_closed_ball_subset_compact -> IsCompactOperator.image_closedBall_subset_compact is a dubious translation:
-lean 3 declaration is
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(AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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(NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
-but is expected to have type
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_inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compactₓ'. -/
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -214,10 +196,7 @@ theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
 
 /- warning: is_compact_operator.is_compact_closure_image_ball -> IsCompactOperator.isCompact_closure_image_ball is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ 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M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ballₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -226,10 +205,7 @@ theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
 
 /- warning: is_compact_operator.is_compact_closure_image_closed_ball -> IsCompactOperator.isCompact_closure_image_closedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ 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M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
-but is expected to have type
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_inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBallₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -238,10 +214,7 @@ theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMu
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
 
 /- warning: is_compact_operator_iff_image_ball_subset_compact -> isCompactOperator_iff_image_ball_subset_compact is a dubious translation:
-lean 3 declaration is
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(NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) 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(Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
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M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ 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Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -252,10 +225,7 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
 #align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compact
 
 /- warning: is_compact_operator_iff_image_closed_ball_subset_compact -> isCompactOperator_iff_image_closedBall_subset_compact is a dubious translation:
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(NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) 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(Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
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M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ 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Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -266,10 +236,7 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
 #align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compact
 
 /- warning: is_compact_operator_iff_is_compact_closure_image_ball -> isCompactOperator_iff_isCompact_closure_image_ball is a dubious translation:
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(AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 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𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ 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(IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ballₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -280,10 +247,7 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
 #align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ball
 
 /- warning: is_compact_operator_iff_is_compact_closure_image_closed_ball -> isCompactOperator_iff_isCompact_closure_image_closedBall is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBallₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -378,10 +342,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   [TopologicalSpace M₃] [AddCommMonoid M₁] [Module R₁ M₁]
 
 /- warning: is_compact_operator.comp_clm -> IsCompactOperator.comp_clm is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align is_compact_operator.comp_clm IsCompactOperator.comp_clmₓ'. -/
 theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f : M₂ → M₃}
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
@@ -408,10 +369,7 @@ theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOpe
 #align is_compact_operator.continuous_comp IsCompactOperator.continuous_comp
 
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 Case conversion may be inaccurate. Consider using '#align is_compact_operator.clm_comp IsCompactOperator.clm_compₓ'. -/
 theorem IsCompactOperator.clm_comp [AddCommMonoid M₂] [Module R₂ M₂] [AddCommMonoid M₃]
     [Module R₃ M₃] {f : M₁ → M₂} (hf : IsCompactOperator f) (g : M₂ →SL[σ₂₃] M₃) :
@@ -428,10 +386,7 @@ variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ 
   [Module R₂ M₂]
 
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 Case conversion may be inaccurate. Consider using '#align is_compact_operator.cod_restrict IsCompactOperator.codRestrictₓ'. -/
 theorem IsCompactOperator.codRestrict {f : M₁ → M₂} (hf : IsCompactOperator f) {V : Submodule R₂ M₂}
     (hV : ∀ x, f x ∈ V) (h_closed : IsClosed (V : Set M₂)) :
@@ -450,10 +405,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   [Module R₂ M₂] [Module R₃ M₃]
 
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 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict IsCompactOperator.restrictₓ'. -/
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
@@ -470,10 +422,7 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
 #align is_compact_operator.restrict IsCompactOperator.restrict
 
 /- warning: is_compact_operator.restrict' -> IsCompactOperator.restrict' is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict' IsCompactOperator.restrict'ₓ'. -/
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
@@ -499,10 +448,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
   [ContinuousConstSMul 𝕜₁ M₁] [TopologicalAddGroup M₂] [ContinuousSMul 𝕜₂ M₂]
 
 /- warning: is_compact_operator.continuous -> IsCompactOperator.continuous is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u3, u4} M₁ M₂ _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous IsCompactOperator.continuousₓ'. -/
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -540,10 +486,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
 #align is_compact_operator.continuous IsCompactOperator.continuous
 
 /- warning: continuous_linear_map.mk_of_is_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
-but is expected to have type
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperatorₓ'. -/
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -552,10 +495,7 @@ def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂
 #align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperator
 
 /- warning: continuous_linear_map.mk_of_is_compact_operator_to_linear_map -> ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ 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(AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ 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_inst_12 _inst_13 f hf)) f
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMapₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -565,10 +505,7 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛ
 #align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap
 
 /- warning: continuous_linear_map.coe_mk_of_is_compact_operator -> ContinuousLinearMap.coe_mkOfIsCompactOperator is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperatorₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -577,10 +514,7 @@ theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁
 #align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperator
 
 /- warning: continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.Mem.{max u3 u4, max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (SetLike.hasMem.{max u3 u4, max u3 u4} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperatorₓ'. -/
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
@@ -591,10 +525,7 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁
 end Continuous
 
 /- warning: is_closed_set_of_is_compact_operator -> isClosed_setOf_isCompactOperator is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : AddCommGroup.{u4} M₂] [_inst_5 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)] [_inst_7 : UniformSpace.{u4} M₂] [_inst_8 : UniformAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u4} M₂ _inst_7], IsClosed.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (setOf.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) f)))
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7], IsClosed.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (setOf.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) f)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperatorₓ'. -/
 /-- The set of compact operators from a normed space to a complete topological vector space is
 closed. -/
@@ -638,10 +569,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
 #align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperator
 
 /- warning: compact_operator_topological_closure -> compactOperator_topologicalClosure is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : AddCommGroup.{u4} M₂] [_inst_5 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)] [_inst_7 : UniformSpace.{u4} M₂] [_inst_8 : UniformAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u4} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toHasSmul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (SMulWithZero.toSmulZeroClass.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (MulActionWithZero.toSMulWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (Module.toMulActionWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u2, u4} 𝕜₂ M₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))], Eq.{succ (max u3 u4)} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) _inst_12 (TopologicalAddGroup.to_continuousAdd.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))], Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) _inst_12) (TopologicalAddGroup.toContinuousAdd.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u4, u3, u2, u1} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))
+<too large>
 Case conversion may be inaccurate. Consider using '#align compact_operator_topological_closure compactOperator_topologicalClosureₓ'. -/
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
@@ -653,10 +581,7 @@ theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [Nontrivia
 #align compact_operator_topological_closure compactOperator_topologicalClosure
 
 /- warning: is_compact_operator_of_tendsto -> isCompactOperator_of_tendsto is a dubious translation:
-lean 3 declaration is
-  forall {ι : Type.{u1}} {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u4}} {M₂ : Type.{u5}} [_inst_3 : SeminormedAddCommGroup.{u4} M₁] [_inst_4 : AddCommGroup.{u5} M₂] [_inst_5 : NormedSpace.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u5} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)] [_inst_7 : UniformSpace.{u5} M₂] [_inst_8 : UniformAddGroup.{u5} M₂ _inst_7 (AddCommGroup.toAddGroup.{u5} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u5} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u5} M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u5} M₂ _inst_7] {l : Filter.{u1} ι} [_inst_12 : Filter.NeBot.{u1} ι l] {F : ι -> (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6)} {f : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6}, (Filter.Tendsto.{u1, max u4 u5} ι (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) F l (nhds.{max u4 u5} (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u5} M₂ _inst_7 (AddCommGroup.toAddGroup.{u5} M₂ _inst_4) _inst_8)) f)) -> (Filter.Eventually.{u1} ι (fun (i : ι) => IsCompactOperator.{u4, u5} M₁ M₂ 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(SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ 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M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) f))
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-  forall {ι : Type.{u5}} {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] {l : Filter.{u5} ι} [_inst_12 : Filter.NeBot.{u5} ι l] {F : ι -> (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6)} {f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6}, (Filter.Tendsto.{u5, max u2 u1} ι (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) F l (nhds.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) f)) -> (Filter.Eventually.{u5} ι (fun (i : ι) => IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) (F i))) l) -> (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) f))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_of_tendsto isCompactOperator_of_tendstoₓ'. -/
 theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]

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

@@ -130,7 +130,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_5 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -147,7 +147,7 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
+  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -168,7 +168,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
@@ -181,7 +181,7 @@ theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
@@ -194,7 +194,7 @@ theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMu
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -205,7 +205,7 @@ theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compactₓ'. -/
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -217,7 +217,7 @@ theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ballₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -229,7 +229,7 @@ theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBallₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -241,7 +241,7 @@ theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMu
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -255,7 +255,7 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ 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(Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -269,7 +269,7 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ballₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -283,7 +283,7 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBallₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -453,7 +453,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
 lean 3 declaration is
   forall {R₁ : Type.{u1}} [_inst_1 : Semiring.{u1} R₁] {M₁ : Type.{u2}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_7 : AddCommMonoid.{u2} M₁] [_inst_10 : Module.{u1, u2} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u2, u2} M₁ M₁ (AddZeroClass.toHasZero.{u2} M₁ (AddMonoid.toAddZeroClass.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_7))) _inst_4 _inst_4 (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) (fun (_x : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) => M₁ -> M₁) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 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 but is expected to have type
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(fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _inst_1 _inst_1 (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) (LinearMap.restrict.{u2, u1, u1} R₁ M₁ M₁ _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 f V V hV))))
+  forall {R₁ : Type.{u2}} [_inst_1 : Semiring.{u2} R₁] {M₁ : Type.{u1}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_10 : Module.{u2, u1} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u1, u1} M₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_4 (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f)) -> (forall {V : Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10} (hV : forall (v : M₁), (Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) v V) -> (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₁) v) (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f v) V)), (IsClosed.{u1} M₁ _inst_4 (SetLike.coe.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) V)) -> (IsCompactOperator.{u1, u1} (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.zero.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (fun (_x : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _inst_1 _inst_1 (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) (LinearMap.restrict.{u2, u1, u1} R₁ M₁ M₁ _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 f V V hV))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict IsCompactOperator.restrictₓ'. -/
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
@@ -473,7 +473,7 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
 lean 3 declaration is
   forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₂ : Type.{u2}} [_inst_5 : UniformSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_11 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_8] [_inst_13 : SeparatedSpace.{u2} M₂ _inst_5] {f : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11}, (IsCompactOperator.{u2, u2} M₂ M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) (fun (_x : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) => M₂ -> M₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f)) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11} (hV : forall (v : M₂), (Membership.Mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) v V) -> (Membership.Mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) (fun (_x : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) => M₂ -> M₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f v) V)) [hcomplete : CompleteSpace.{u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) V) (Subtype.uniformSpace.{u2} M₂ (fun (x : M₂) => Membership.Mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) _inst_5)], IsCompactOperator.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} 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_inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) V) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V)) (fun (_x : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) V) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V)) => (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} 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(Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
 but is expected to have type
-  forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₂ : Type.{u2}} [_inst_5 : UniformSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_11 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_8] [_inst_13 : SeparatedSpace.{u2} M₂ _inst_5] {f : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11}, (IsCompactOperator.{u2, u2} M₂ M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f)) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11} (hV : forall (v : M₂), (Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) v V) -> (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) v) (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f v) V)) [hcomplete : CompleteSpace.{u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (instUniformSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) _inst_5)], IsCompactOperator.{u2, u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.zero.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (fun (_x : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _inst_2 _inst_2 (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
+  forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₂ : Type.{u2}} [_inst_5 : UniformSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_11 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_8] [_inst_13 : SeparatedSpace.{u2} M₂ _inst_5] {f : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11}, (IsCompactOperator.{u2, u2} M₂ M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f)) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11} (hV : forall (v : M₂), (Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) v V) -> (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₂) v) (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f v) V)) [hcomplete : CompleteSpace.{u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (instUniformSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) _inst_5)], IsCompactOperator.{u2, u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.zero.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (fun (_x : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _inst_2 _inst_2 (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict' IsCompactOperator.restrict'ₓ'. -/
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
@@ -502,7 +502,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u3, u4} M₁ M₂ _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous IsCompactOperator.continuousₓ'. -/
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -543,7 +543,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
 but is expected to have type
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperatorₓ'. -/
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -555,7 +555,7 @@ def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMapₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -568,7 +568,7 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛ
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperatorₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -580,7 +580,7 @@ theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.Mem.{max u3 u4, max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (SetLike.hasMem.{max u3 u4, max u3 u4} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6193 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperatorₓ'. -/
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/c89fe2d59ae06402c3f55f978016d1ada444f57e

@@ -130,7 +130,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_5 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -147,7 +147,7 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
+  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBoundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
@@ -168,7 +168,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
@@ -181,7 +181,7 @@ theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
@@ -194,7 +194,7 @@ theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMu
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -205,7 +205,7 @@ theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compactₓ'. -/
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -217,7 +217,7 @@ theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ballₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -229,7 +229,7 @@ theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBallₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
@@ -241,7 +241,7 @@ theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMu
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -255,7 +255,7 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -269,7 +269,7 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ballₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -283,7 +283,7 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBallₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
@@ -453,7 +453,7 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
 lean 3 declaration is
   forall {R₁ : Type.{u1}} [_inst_1 : Semiring.{u1} R₁] {M₁ : Type.{u2}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_7 : AddCommMonoid.{u2} M₁] [_inst_10 : Module.{u1, u2} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u2, u2} M₁ M₁ (AddZeroClass.toHasZero.{u2} M₁ (AddMonoid.toAddZeroClass.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_7))) _inst_4 _inst_4 (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) (fun (_x : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) => M₁ -> M₁) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1))) f)) -> (forall {V : Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10} (hV : forall (v : M₁), (Membership.Mem.{u2, u2} M₁ (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)) v V) -> (Membership.Mem.{u2, u2} M₁ (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) (fun (_x : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) => M₁ -> M₁) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1))) f v) V)), (IsClosed.{u2} M₁ _inst_4 ((fun (a : Type.{u2}) (b : Type.{u2}) [self : HasLiftT.{succ u2, succ u2} a b] => self.0) (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) (Set.{u2} M₁) (HasLiftT.mk.{succ u2, succ u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) (Set.{u2} M₁) (CoeTCₓ.coe.{succ u2, succ u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) (Set.{u2} M₁) (SetLike.Set.hasCoeT.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)))) V)) -> (IsCompactOperator.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)) V) 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(Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)) V) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Submodule.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10)) V) (Submodule.addCommMonoid.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u1, u2} R₁ M₁ _inst_1 _inst_7 _inst_10 V)) (fun (_x : LinearMap.{u1, u1, u2, u2} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1)) (coeSort.{succ u2, succ (succ u2)} (Submodule.{u1, u2} R₁ M₁ _inst_1 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(RingHom.id.{u1} R₁ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1))) (LinearMap.restrict.{u1, u2, u2} R₁ M₁ M₁ _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 f V V hV))))
 but is expected to have type
-  forall {R₁ : Type.{u2}} [_inst_1 : Semiring.{u2} R₁] {M₁ : Type.{u1}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_10 : Module.{u2, u1} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u1, u1} M₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_4 (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f)) -> (forall {V : Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10} (hV : forall (v : M₁), (Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) v V) -> (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₁) v) (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f v) V)), (IsClosed.{u1} M₁ _inst_4 (SetLike.coe.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) V)) -> (IsCompactOperator.{u1, u1} (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.zero.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (fun (_x : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _inst_1 _inst_1 (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) (LinearMap.restrict.{u2, u1, u1} R₁ M₁ M₁ _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 f V V hV))))
+  forall {R₁ : Type.{u2}} [_inst_1 : Semiring.{u2} R₁] {M₁ : Type.{u1}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_10 : Module.{u2, u1} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u1, u1} M₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_4 (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f)) -> (forall {V : Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10} (hV : forall (v : M₁), (Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) v V) -> (Membership.mem.{u1, u1} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₁) v) (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f v) V)), (IsClosed.{u1} M₁ _inst_4 (SetLike.coe.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) V)) -> (IsCompactOperator.{u1, u1} (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.zero.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (instTopologicalSpaceSubtype.{u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V) _inst_4) (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (fun (_x : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) => Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) (Subtype.{succ u1} M₁ (fun (x : M₁) => Membership.mem.{u1, u1} M₁ (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) (SetLike.instMembership.{u1, u1} (Submodule.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10) M₁ (Submodule.setLike.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10)) x V)) _inst_1 _inst_1 (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.addCommMonoid.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (Submodule.module.{u2, u1} R₁ M₁ _inst_1 _inst_7 _inst_10 V) (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) (LinearMap.restrict.{u2, u1, u1} R₁ M₁ M₁ _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 f V V hV))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict IsCompactOperator.restrictₓ'. -/
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
@@ -473,7 +473,7 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
 lean 3 declaration is
   forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₂ : Type.{u2}} [_inst_5 : UniformSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_11 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_8] [_inst_13 : SeparatedSpace.{u2} M₂ _inst_5] {f : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11}, (IsCompactOperator.{u2, u2} M₂ M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) (fun (_x : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) => M₂ -> M₂) (LinearMap.hasCoeToFun.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f)) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11} (hV : forall (v : M₂), (Membership.Mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) v V) -> (Membership.Mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.hasMem.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) (coeFn.{succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) (fun (_x : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ 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 but is expected to have type
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: M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _inst_2 _inst_2 (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
+  forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₂ : Type.{u2}} [_inst_5 : UniformSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_11 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_8] [_inst_13 : SeparatedSpace.{u2} M₂ _inst_5] {f : LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11}, (IsCompactOperator.{u2, u2} M₂ M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f)) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11} (hV : forall (v : M₂), (Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) v V) -> (Membership.mem.{u2, u2} ((fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) v) (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) M₂ M₂ _inst_8 _inst_8 _inst_11 _inst_11) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₂) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ M₂ M₂ _inst_2 _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) f v) V)) [hcomplete : CompleteSpace.{u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (instUniformSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) _inst_5)], IsCompactOperator.{u2, u2} (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.zero.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V) (UniformSpace.toTopologicalSpace.{u2} M₂ _inst_5)) (FunLike.coe.{succ u2, succ u2, succ u2} (LinearMap.{u1, u1, u2, u2} R₂ R₂ _inst_2 _inst_2 (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (fun (_x : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) => Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _x) (LinearMap.instFunLikeLinearMap.{u1, u1, u2, u2} R₂ R₂ (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) (Subtype.{succ u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11)) x V)) _inst_2 _inst_2 (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.addCommMonoid.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict' IsCompactOperator.restrict'ₓ'. -/
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
@@ -502,7 +502,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u3, u4} M₁ M₂ _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous IsCompactOperator.continuousₓ'. -/
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -543,7 +543,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
 but is expected to have type
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperatorₓ'. -/
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
@@ -555,7 +555,7 @@ def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ 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(AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.LinearMap.coe.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMapₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -568,7 +568,7 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛ
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperatorₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -580,7 +580,7 @@ theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.Mem.{max u3 u4, max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (SetLike.hasMem.{max u3 u4, max u3 u4} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6191 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperatorₓ'. -/
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/0b9eaaa7686280fad8cce467f5c3c57ee6ce77f8

@@ -641,7 +641,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : AddCommGroup.{u4} M₂] [_inst_5 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)] [_inst_7 : UniformSpace.{u4} M₂] [_inst_8 : UniformAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u4} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toHasSmul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (SMulWithZero.toSmulZeroClass.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (MulActionWithZero.toSMulWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (Module.toMulActionWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u2, u4} 𝕜₂ M₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))], Eq.{succ (max u3 u4)} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) _inst_12 (TopologicalAddGroup.to_continuousAdd.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (IsScalarTower.to_smulCommClass'.{u3, u3, u1} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedAlgebra.toAlgebra.{u3, u3} 𝕜₂ 𝕜₂ _inst_2 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) (NormedAlgebra.id.{u3} 𝕜₂ _inst_2)) M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (IsScalarTower.left.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toMonoid.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6)))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))], Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) _inst_12) (TopologicalAddGroup.toContinuousAdd.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u4, u3, u2, u1} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))], Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) _inst_12) (TopologicalAddGroup.toContinuousAdd.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u4, u3, u2, u1} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))
 Case conversion may be inaccurate. Consider using '#align compact_operator_topological_closure compactOperator_topologicalClosureₓ'. -/
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]

mathlib commit https://github.com/leanprover-community/mathlib/commit/7ad820c4997738e2f542f8a20f32911f52020e26

@@ -77,7 +77,7 @@ def IsCompactOperator {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁] [
 lean 3 declaration is
   forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : Zero.{u1} M₁] [_inst_2 : TopologicalSpace.{u1} M₁] [_inst_3 : TopologicalSpace.{u2} M₂] [_inst_4 : Zero.{u2} M₂], IsCompactOperator.{u1, u2} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u1 u2} (M₁ -> M₂) 0 (OfNat.mk.{max u1 u2} (M₁ -> M₂) 0 (Zero.zero.{max u1 u2} (M₁ -> M₂) (Pi.instZero.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => _inst_4)))))
 but is expected to have type
-  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Zero.{u2} M₁] [_inst_2 : TopologicalSpace.{u2} M₁] [_inst_3 : TopologicalSpace.{u1} M₂] [_inst_4 : Zero.{u1} M₂], IsCompactOperator.{u2, u1} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u2 u1} (M₁ -> M₂) 0 (Zero.toOfNat0.{max u2 u1} (M₁ -> M₂) (Pi.instZero.{u2, u1} M₁ (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.68 : M₁) => M₂) (fun (i : M₁) => _inst_4))))
+  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Zero.{u2} M₁] [_inst_2 : TopologicalSpace.{u2} M₁] [_inst_3 : TopologicalSpace.{u1} M₂] [_inst_4 : Zero.{u1} M₂], IsCompactOperator.{u2, u1} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u2 u1} (M₁ -> M₂) 0 (Zero.toOfNat0.{max u2 u1} (M₁ -> M₂) (Pi.instZero.{u2, u1} M₁ (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.67 : M₁) => M₂) (fun (i : M₁) => _inst_4))))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator_zero isCompactOperator_zeroₓ'. -/
 theorem isCompactOperator_zero {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁]
     [TopologicalSpace M₂] [Zero M₂] : IsCompactOperator (0 : M₁ → M₂) :=
@@ -126,13 +126,13 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
-/- warning: is_compact_operator.image_subset_compact_of_vonN_bounded -> IsCompactOperator.image_subset_compact_of_vonN_bounded is a dubious translation:
+/- warning: is_compact_operator.image_subset_compact_of_vonN_bounded -> IsCompactOperator.image_subset_compact_of_isVonNBounded is a dubious translation:
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_5 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
 but is expected to have type
   forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_vonN_boundedₓ'. -/
-theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛₗ[σ₁₂] M₂}
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBoundedₓ'. -/
+theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
   let ⟨K, hK, hKf⟩ := hf
@@ -141,20 +141,20 @@ theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛ
   let this := ne_zero_of_norm_ne_zero (hr.trans hc).Ne.symm
   ⟨σ₁₂ c • K, hK.image <| continuous_id.const_smul (σ₁₂ c), by
     rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
-#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_vonN_bounded
+#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
 
-/- warning: is_compact_operator.is_compact_closure_image_of_vonN_bounded -> IsCompactOperator.isCompact_closure_image_of_vonN_bounded is a dubious translation:
+/- warning: is_compact_operator.is_compact_closure_image_of_vonN_bounded -> IsCompactOperator.isCompact_closure_image_of_isVonNBounded is a dubious translation:
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
 but is expected to have type
   forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
-Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_vonN_boundedₓ'. -/
-theorem IsCompactOperator.isCompact_closure_image_of_vonN_bounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBoundedₓ'. -/
+theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
-  let ⟨K, hK, hKf⟩ := hf.image_subset_compact_of_vonN_bounded hS
+  let ⟨K, hK, hKf⟩ := hf.image_subset_compact_of_isVonNBounded hS
   isCompact_closure_of_subset_compact hK hKf
-#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_vonN_bounded
+#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBounded
 
 end Bounded
 
@@ -173,7 +173,7 @@ Case conversion may be inaccurate. Consider using '#align is_compact_operator.im
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded
+  hf.image_subset_compact_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
@@ -186,7 +186,7 @@ Case conversion may be inaccurate. Consider using '#align is_compact_operator.is
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
     (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
-  hf.isCompact_closure_image_of_vonN_bounded
+  hf.isCompact_closure_image_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
@@ -198,7 +198,7 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
+  hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
 
 /- warning: is_compact_operator.image_closed_ball_subset_compact -> IsCompactOperator.image_closedBall_subset_compact is a dubious translation:
@@ -210,7 +210,7 @@ Case conversion may be inaccurate. Consider using '#align is_compact_operator.im
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
+  hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
 
 /- warning: is_compact_operator.is_compact_closure_image_ball -> IsCompactOperator.isCompact_closure_image_ball is a dubious translation:
@@ -222,7 +222,7 @@ Case conversion may be inaccurate. Consider using '#align is_compact_operator.is
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.ball 0 r) :=
-  hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
+  hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
 
 /- warning: is_compact_operator.is_compact_closure_image_closed_ball -> IsCompactOperator.isCompact_closure_image_closedBall is a dubious translation:
@@ -234,7 +234,7 @@ Case conversion may be inaccurate. Consider using '#align is_compact_operator.is
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.closedBall 0 r) :=
-  hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
+  hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
 
 /- warning: is_compact_operator_iff_image_ball_subset_compact -> isCompactOperator_iff_image_ball_subset_compact is a dubious translation:
@@ -308,7 +308,7 @@ variable {R₁ R₂ R₃ R₄ : Type _} [Semiring R₁] [Semiring R₂] [CommSem
 lean 3 declaration is
   forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] {S : Type.{u3}} [_inst_13 : Monoid.{u3} S] [_inst_14 : DistribMulAction.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)] [_inst_15 : ContinuousConstSMul.{u3, u2} S M₂ _inst_7 (SMulZeroClass.toHasSmul.{u3, u2} S M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (DistribSMul.toSmulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 f) -> (forall (c : S), IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 (SMul.smul.{u3, max u1 u2} S (M₁ -> M₂) (Function.hasSMul.{u1, u3, u2} M₁ S M₂ (SMulZeroClass.toHasSmul.{u3, u2} S M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (DistribSMul.toSmulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))) c f))
 but is expected to have type
-  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] {S : Type.{u3}} [_inst_13 : Monoid.{u3} S] [_inst_14 : DistribMulAction.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)] [_inst_15 : ContinuousConstSMul.{u3, u2} S M₂ _inst_7 (SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 f) -> (forall (c : S), IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 (HSMul.hSMul.{u3, max u1 u2, max u1 u2} S (M₁ -> M₂) (M₁ -> M₂) (instHSMul.{u3, max u1 u2} S (M₁ -> M₂) (Pi.instSMul.{u1, u2, u3} M₁ S (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.2185 : M₁) => M₂) (fun (i : M₁) => SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14))))) c f))
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] {S : Type.{u3}} [_inst_13 : Monoid.{u3} S] [_inst_14 : DistribMulAction.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)] [_inst_15 : ContinuousConstSMul.{u3, u2} S M₂ _inst_7 (SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 f) -> (forall (c : S), IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 (HSMul.hSMul.{u3, max u1 u2, max u1 u2} S (M₁ -> M₂) (M₁ -> M₂) (instHSMul.{u3, max u1 u2} S (M₁ -> M₂) (Pi.instSMul.{u1, u2, u3} M₁ S (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.2184 : M₁) => M₂) (fun (i : M₁) => SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14))))) c f))
 Case conversion may be inaccurate. Consider using '#align is_compact_operator.smul IsCompactOperator.smulₓ'. -/
 theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     [ContinuousConstSMul S M₂] {f : M₁ → M₂} (hf : IsCompactOperator f) (c : S) :

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

@@ -612,7 +612,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
     change IsCompactOperator (u : M₁ →ₛₗ[σ₁₂] M₂)
     rw [isCompactOperator_iff_isCompact_closure_image_closedBall (u : M₁ →ₛₗ[σ₁₂] M₂) zero_lt_one]
     exact isCompact_of_totallyBounded_isClosed this.closure isClosed_closure
-  rw [totallyBounded_iff_subset_finite_unionᵢ_nhds_zero]
+  rw [totallyBounded_iff_subset_finite_iUnion_nhds_zero]
   intro U hU
   rcases exists_nhds_zero_half hU with ⟨V, hV, hVU⟩
   let SV : Set M₁ × Set M₂ := ⟨closed_ball 0 1, -V⟩

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
+! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Algebra.Module.StrongTopology
 /-!
 # Compact operators
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define compact linear operators between two topological vector spaces (TVS).
 
 ## Main definitions

mathlib commit https://github.com/leanprover-community/mathlib/commit/28b2a92f2996d28e580450863c130955de0ed398

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
+! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,9 +14,6 @@ import Mathbin.Topology.Algebra.Module.StrongTopology
 /-!
 # Compact operators
 
-> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
-> Any changes to this file require a corresponding PR to mathlib4.
-
 In this file we define compact linear operators between two topological vector spaces (TVS).
 
 ## Main definitions

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
+! leanprover-community/mathlib commit 781cb2eed038c4caf53bdbd8d20a95e5822d77df
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.Topology.Algebra.Module.StrongTopology
 /-!
 # Compact operators
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file we define compact linear operators between two topological vector spaces (TVS).
 
 ## Main definitions

mathlib commit https://github.com/leanprover-community/mathlib/commit/cc5dd6244981976cc9da7afc4eee5682b037a013

@@ -57,6 +57,7 @@ open Function Set Filter Bornology Metric
 
 open Pointwise BigOperators Topology
 
+#print IsCompactOperator /-
 /-- A compact operator between two topological vector spaces. This definition is usually
 given as "there exists a neighborhood of zero whose image is contained in a compact set",
 but we choose a definition which involves fewer existential quantifiers and replaces images
@@ -67,7 +68,14 @@ def IsCompactOperator {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁] [
     (f : M₁ → M₂) : Prop :=
   ∃ K, IsCompact K ∧ f ⁻¹' K ∈ (𝓝 0 : Filter M₁)
 #align is_compact_operator IsCompactOperator
+-/
 
+/- warning: is_compact_operator_zero -> isCompactOperator_zero is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_1 : Zero.{u1} M₁] [_inst_2 : TopologicalSpace.{u1} M₁] [_inst_3 : TopologicalSpace.{u2} M₂] [_inst_4 : Zero.{u2} M₂], IsCompactOperator.{u1, u2} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u1 u2} (M₁ -> M₂) 0 (OfNat.mk.{max u1 u2} (M₁ -> M₂) 0 (Zero.zero.{max u1 u2} (M₁ -> M₂) (Pi.instZero.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => _inst_4)))))
+but is expected to have type
+  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_1 : Zero.{u2} M₁] [_inst_2 : TopologicalSpace.{u2} M₁] [_inst_3 : TopologicalSpace.{u1} M₂] [_inst_4 : Zero.{u1} M₂], IsCompactOperator.{u2, u1} M₁ M₂ _inst_1 _inst_2 _inst_3 (OfNat.ofNat.{max u2 u1} (M₁ -> M₂) 0 (Zero.toOfNat0.{max u2 u1} (M₁ -> M₂) (Pi.instZero.{u2, u1} M₁ (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.68 : M₁) => M₂) (fun (i : M₁) => _inst_4))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_zero isCompactOperator_zeroₓ'. -/
 theorem isCompactOperator_zero {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁]
     [TopologicalSpace M₂] [Zero M₂] : IsCompactOperator (0 : M₁ → M₂) :=
   ⟨{0}, isCompact_singleton, mem_of_superset univ_mem fun x _ => rfl⟩
@@ -80,12 +88,24 @@ section
 variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type _}
   [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂]
 
+/- warning: is_compact_operator_iff_exists_mem_nhds_image_subset_compact -> isCompactOperator_iff_exists_mem_nhds_image_subset_compact is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4))) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => Exists.{0} (Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) (fun (H : Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) => Exists.{succ u2} (Set.{u2} M₂) (fun (K : Set.{u2} M₂) => And (IsCompact.{u2} M₂ _inst_5 K) (HasSubset.Subset.{u2} (Set.{u2} M₂) (Set.hasSubset.{u2} M₂) (Set.image.{u1, u2} M₁ M₂ f V) K)))))
+but is expected to have type
+  forall {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] (f : M₁ -> M₂), Iff (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 f) (Exists.{succ u2} (Set.{u2} M₁) (fun (V : Set.{u2} M₁) => And (Membership.mem.{u2, u2} (Set.{u2} M₁) (Filter.{u2} M₁) (instMembershipSetFilter.{u2} M₁) V (nhds.{u2} M₁ _inst_3 (OfNat.ofNat.{u2} M₁ 0 (Zero.toOfNat0.{u2} M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)))))) (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ f V) K)))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_exists_mem_nhds_image_subset_compact isCompactOperator_iff_exists_mem_nhds_image_subset_compactₓ'. -/
 theorem isCompactOperator_iff_exists_mem_nhds_image_subset_compact (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), ∃ K : Set M₂, IsCompact K ∧ f '' V ⊆ K :=
   ⟨fun ⟨K, hK, hKf⟩ => ⟨f ⁻¹' K, hKf, K, hK, image_preimage_subset _ _⟩, fun ⟨V, hV, K, hK, hVK⟩ =>
     ⟨K, hK, mem_of_superset hV (image_subset_iff.mp hVK)⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_image_subset_compact isCompactOperator_iff_exists_mem_nhds_image_subset_compact
 
+/- warning: is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image -> isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : T2Space.{u2} M₂ _inst_5] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4))) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => Exists.{0} (Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) (fun (H : Membership.Mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (Filter.hasMem.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (OfNat.mk.{u1} M₁ 0 (Zero.zero.{u1} M₁ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))))) => IsCompact.{u2} M₂ _inst_5 (closure.{u2} M₂ _inst_5 (Set.image.{u1, u2} M₁ M₂ f V)))))
+but is expected to have type
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : T2Space.{u2} M₂ _inst_5] (f : M₁ -> M₂), Iff (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 f) (Exists.{succ u1} (Set.{u1} M₁) (fun (V : Set.{u1} M₁) => And (Membership.mem.{u1, u1} (Set.{u1} M₁) (Filter.{u1} M₁) (instMembershipSetFilter.{u1} M₁) V (nhds.{u1} M₁ _inst_3 (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)))))) (IsCompact.{u2} M₂ _inst_5 (closure.{u2} M₂ _inst_5 (Set.image.{u1, u2} M₁ M₂ f V)))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image isCompactOperator_iff_exists_mem_nhds_isCompact_closure_imageₓ'. -/
 theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M₂] (f : M₁ → M₂) :
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), IsCompact (closure <| f '' V) :=
   by
@@ -103,6 +123,12 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
+/- warning: is_compact_operator.image_subset_compact_of_vonN_bounded -> IsCompactOperator.image_subset_compact_of_vonN_bounded is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_5 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : SeminormedRing.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : AddCommMonoid.{u2} M₁] [_inst_5 : TopologicalSpace.{u1} M₂] [_inst_6 : AddCommMonoid.{u1} M₂] [_inst_7 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u1} M₂ (AddCommMonoid.toAddMonoid.{u1} M₂ _inst_6)) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u2, u1} M₁ M₂ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u2} M₁}, (Bornology.IsVonNBounded.{u4, u2} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_4)) _inst_3 S) -> (Exists.{succ u1} (Set.{u1} M₂) (fun (K : Set.{u1} M₂) => And (IsCompact.{u1} M₂ _inst_5 K) (HasSubset.Subset.{u1} (Set.{u1} M₂) (Set.instHasSubsetSet.{u1} M₂) (Set.image.{u2, u1} M₁ M₂ (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (SeminormedRing.toRing.{u3} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S) K))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_vonN_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
@@ -114,6 +140,12 @@ theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛ
     rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.is_unit] <;> exact hrS c hc.le⟩
 #align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_vonN_bounded
 
+/- warning: is_compact_operator.is_compact_closure_image_of_vonN_bounded -> IsCompactOperator.isCompact_closure_image_of_vonN_bounded is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : AddCommMonoid.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 _inst_5 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ M₁ (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_4))) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u3}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u3} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u3, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u4}} [_inst_3 : TopologicalSpace.{u1} M₁] [_inst_4 : AddCommMonoid.{u1} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : AddCommMonoid.{u4} M₂] [_inst_7 : Module.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4] [_inst_8 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_5 (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (MonoidWithZero.toZero.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_6)) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_6 _inst_8))))] [_inst_10 : T2Space.{u4} M₂ _inst_5] {f : LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8}, (IsCompactOperator.{u1, u4} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 _inst_5 (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Bornology.IsVonNBounded.{u3, u1} 𝕜₁ M₁ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₁ (NormedField.toNormedCommRing.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))) (SMulZeroClass.toSMul.{u3, u1} 𝕜₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u3} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₁ (Semifield.toCommGroupWithZero.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u3} 𝕜₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1)))))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) (Module.toMulActionWithZero.{u3, u1} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) _inst_4 _inst_7)))) (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_4)) _inst_3 S) -> (IsCompact.{u4} M₂ _inst_5 (closure.{u4} M₂ _inst_5 (Set.image.{u1, u4} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u4), succ u1, succ u4} (LinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ _inst_4 _inst_6 _inst_7 _inst_8) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u3, u2, u1, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₁ (Semifield.toDivisionSemiring.{u3} 𝕜₁ (Field.toSemifield.{u3} 𝕜₁ (NormedField.toField.{u3} 𝕜₁ (NontriviallyNormedField.toNormedField.{u3} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_4 _inst_6 _inst_7 _inst_8 σ₁₂) f) S))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_vonN_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_vonN_bounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
@@ -129,6 +161,12 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ M₃ : Type _} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
+/- warning: is_compact_operator.image_subset_compact_of_bounded -> IsCompactOperator.image_subset_compact_of_bounded is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S) K))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_boundedₓ'. -/
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
@@ -136,6 +174,12 @@ theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
+/- warning: is_compact_operator.is_compact_closure_image_of_bounded -> IsCompactOperator.isCompact_closure_image_of_bounded is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u3} M₁}, (Metric.Bounded.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) S) -> (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall {S : Set.{u1} M₁}, (Metric.Bounded.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) S) -> (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) S))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_boundedₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
     (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
@@ -143,29 +187,59 @@ theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMu
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
+/- warning: is_compact_operator.image_ball_subset_compact -> IsCompactOperator.image_ball_subset_compact is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compactₓ'. -/
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
   hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
 
+/- warning: is_compact_operator.image_closed_ball_subset_compact -> IsCompactOperator.image_closedBall_subset_compact is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K)))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compactₓ'. -/
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
   hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
 
+/- warning: is_compact_operator.is_compact_closure_image_ball -> IsCompactOperator.isCompact_closure_image_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ballₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.ball 0 r) :=
   hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
 
+/- warning: is_compact_operator.is_compact_closure_image_closed_ball -> IsCompactOperator.isCompact_closure_image_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] {f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7}, (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) -> (forall (r : Real), IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBallₓ'. -/
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.closedBall 0 r) :=
   hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
 
+/- warning: is_compact_operator_iff_image_ball_subset_compact -> isCompactOperator_iff_image_ball_subset_compact is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u4} (Set.{u4} M₂) (fun (K : Set.{u4} M₂) => And (IsCompact.{u4} M₂ _inst_4 K) (HasSubset.Subset.{u4} (Set.{u4} M₂) (Set.hasSubset.{u4} M₂) (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
@@ -174,6 +248,12 @@ theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_ball_subset_compact isCompactOperator_iff_image_ball_subset_compact
 
+/- warning: is_compact_operator_iff_image_closed_ball_subset_compact -> isCompactOperator_iff_image_closedBall_subset_compact is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) 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(Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)) K))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (Exists.{succ u3} (Set.{u3} M₂) (fun (K : Set.{u3} M₂) => And (IsCompact.{u3} M₂ _inst_4 K) (HasSubset.Subset.{u3} (Set.{u3} M₂) (Set.instHasSubsetSet.{u3} M₂) (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)) K))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compactₓ'. -/
 theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
@@ -182,6 +262,12 @@ theorem isCompactOperator_iff_image_closedBall_subset_compact [ContinuousConstSM
       ⟨Metric.closedBall 0 r, closedBall_mem_nhds _ hr, K, hK, hKr⟩⟩
 #align is_compact_operator_iff_image_closed_ball_subset_compact isCompactOperator_iff_image_closedBall_subset_compact
 
+/- warning: is_compact_operator_iff_is_compact_closure_image_ball -> isCompactOperator_iff_isCompact_closure_image_ball is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.ball.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ballₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.ball 0 r) :=
@@ -190,6 +276,12 @@ theorem isCompactOperator_iff_isCompact_closure_image_ball [ContinuousConstSMul
       ⟨Metric.ball 0 r, ball_mem_nhds _ hr, hf⟩⟩
 #align is_compact_operator_iff_is_compact_closure_image_ball isCompactOperator_iff_isCompact_closure_image_ball
 
+/- warning: is_compact_operator_iff_is_compact_closure_image_closed_ball -> isCompactOperator_iff_isCompact_closure_image_closedBall is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : SeminormedRing.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : TopologicalSpace.{u4} M₂] [_inst_5 : AddCommMonoid.{u4} M₂] [_inst_6 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_5))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u4} M₂ _inst_4] (f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {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) -> (Iff (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) _inst_4 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u4} M₂ _inst_4 (closure.{u4} M₂ _inst_4 (Set.image.{u3, u4} M₁ M₂ (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (SeminormedRing.toRing.{u2} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3) (OfNat.ofNat.{u3} M₁ 0 (OfNat.mk.{u3} M₁ 0 (Zero.zero.{u3} M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3))))))))) r)))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u4}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : SeminormedRing.{u4} 𝕜₂] {σ₁₂ : RingHom.{u2, u4} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))} {M₁ : Type.{u1}} {M₂ : Type.{u3}} [_inst_3 : SeminormedAddCommGroup.{u1} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u3} M₂] [_inst_6 : NormedSpace.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_7 : Module.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5] [_inst_8 : ContinuousConstSMul.{u4, u3} 𝕜₂ M₂ _inst_4 (SMulZeroClass.toSMul.{u4, u3} 𝕜₂ M₂ (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (SMulWithZero.toSMulZeroClass.{u4, u3} 𝕜₂ M₂ (MonoidWithZero.toZero.{u4} 𝕜₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (MulActionWithZero.toSMulWithZero.{u4, u3} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u4} 𝕜₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2))) (AddMonoid.toZero.{u3} M₂ (AddCommMonoid.toAddMonoid.{u3} M₂ _inst_5)) (Module.toMulActionWithZero.{u4, u3} 𝕜₂ M₂ (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) _inst_5 _inst_7))))] [_inst_9 : T2Space.{u3} M₂ _inst_4] (f : LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) {r : Real}, (LT.lt.{0} Real Real.instLTReal (OfNat.ofNat.{0} Real 0 (Zero.toOfNat0.{0} Real Real.instZeroReal)) r) -> (Iff (IsCompactOperator.{u1, u3} M₁ M₂ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u1} M₁ (PseudoMetricSpace.toUniformSpace.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3))) _inst_4 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f)) (IsCompact.{u3} M₂ _inst_4 (closure.{u3} M₂ _inst_4 (Set.image.{u1, u3} M₁ M₂ (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (LinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u2, u4, u1, u3} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u4} 𝕜₂ (SeminormedRing.toRing.{u4} 𝕜₂ _inst_2)) (AddCommGroup.toAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)) _inst_5 (NormedSpace.toModule.{u2, u1} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_6) _inst_7 σ₁₂) f) (Metric.closedBall.{u1} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u1} M₁ _inst_3) (OfNat.ofNat.{u1} M₁ 0 (Zero.toOfNat0.{u1} M₁ (NegZeroClass.toZero.{u1} M₁ (SubNegZeroMonoid.toNegZeroClass.{u1} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u1} M₁ _inst_3)))))))) r)))))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_iff_is_compact_closure_image_closed_ball isCompactOperator_iff_isCompact_closure_image_closedBallₓ'. -/
 theorem isCompactOperator_iff_isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] (f : M₁ →ₛₗ[σ₁₂] M₂) {r : ℝ} (hr : 0 < r) :
     IsCompactOperator f ↔ IsCompact (closure <| f '' Metric.closedBall 0 r) :=
@@ -209,6 +301,12 @@ variable {R₁ R₂ R₃ R₄ : Type _} [Semiring R₁] [Semiring R₂] [CommSem
   [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂] [TopologicalSpace M₃]
   [AddCommGroup M₃] [TopologicalSpace M₄] [AddCommGroup M₄]
 
+/- warning: is_compact_operator.smul -> IsCompactOperator.smul is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] {S : Type.{u3}} [_inst_13 : Monoid.{u3} S] [_inst_14 : DistribMulAction.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)] [_inst_15 : ContinuousConstSMul.{u3, u2} S M₂ _inst_7 (SMulZeroClass.toHasSmul.{u3, u2} S M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (DistribSMul.toSmulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 f) -> (forall (c : S), IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 (SMul.smul.{u3, max u1 u2} S (M₁ -> M₂) (Function.hasSMul.{u1, u3, u2} M₁ S M₂ (SMulZeroClass.toHasSmul.{u3, u2} S M₂ (AddZeroClass.toHasZero.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))) (DistribSMul.toSmulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))) c f))
+but is expected to have type
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] {S : Type.{u3}} [_inst_13 : Monoid.{u3} S] [_inst_14 : DistribMulAction.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)] [_inst_15 : ContinuousConstSMul.{u3, u2} S M₂ _inst_7 (SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14)))] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 f) -> (forall (c : S), IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 (HSMul.hSMul.{u3, max u1 u2, max u1 u2} S (M₁ -> M₂) (M₁ -> M₂) (instHSMul.{u3, max u1 u2} S (M₁ -> M₂) (Pi.instSMul.{u1, u2, u3} M₁ S (fun (a._@.Mathlib.Analysis.NormedSpace.CompactOperator._hyg.2185 : M₁) => M₂) (fun (i : M₁) => SMulZeroClass.toSMul.{u3, u2} S M₂ (AddMonoid.toZero.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribSMul.toSMulZeroClass.{u3, u2} S M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)) (DistribMulAction.toDistribSMul.{u3, u2} S M₂ _inst_13 (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8) _inst_14))))) c f))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.smul IsCompactOperator.smulₓ'. -/
 theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     [ContinuousConstSMul S M₂] {f : M₁ → M₂} (hf : IsCompactOperator f) (c : S) :
     IsCompactOperator (c • f) :=
@@ -217,6 +315,12 @@ theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
     mem_of_superset hKf fun x hx => smul_mem_smul_set hx⟩
 #align is_compact_operator.smul IsCompactOperator.smul
 
+/- warning: is_compact_operator.add -> IsCompactOperator.add is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_13 : ContinuousAdd.{u2} M₂ _inst_7 (AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)))] {f : M₁ -> M₂} {g : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 f) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 g) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_7 (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₂) (M₁ -> M₂) (M₁ -> M₂) (instHAdd.{max u1 u2} (M₁ -> M₂) (Pi.instAdd.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => AddZeroClass.toHasAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))))) f g))
+but is expected to have type
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_7 : TopologicalSpace.{u2} M₂] [_inst_8 : AddCommMonoid.{u2} M₂] [_inst_13 : ContinuousAdd.{u2} M₂ _inst_7 (AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8)))] {f : M₁ -> M₂} {g : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 f) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 g) -> (IsCompactOperator.{u1, u2} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_7 (HAdd.hAdd.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₂) (M₁ -> M₂) (M₁ -> M₂) (instHAdd.{max u1 u2} (M₁ -> M₂) (Pi.instAdd.{u1, u2} M₁ (fun (ᾰ : M₁) => M₂) (fun (i : M₁) => AddZeroClass.toAdd.{u2} M₂ (AddMonoid.toAddZeroClass.{u2} M₂ (AddCommMonoid.toAddMonoid.{u2} M₂ _inst_8))))) f g))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.add IsCompactOperator.addₓ'. -/
 theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f + g) :=
   let ⟨A, hA, hAf⟩ := hf
@@ -225,12 +329,24 @@ theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : I
     mem_of_superset (inter_mem hAf hBg) fun x ⟨hxA, hxB⟩ => Set.add_mem_add hxA hxB⟩
 #align is_compact_operator.add IsCompactOperator.add
 
+/- warning: is_compact_operator.neg -> IsCompactOperator.neg is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : ContinuousNeg.{u2} M₄ _inst_11 (SubNegMonoid.toHasNeg.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)))] {f : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 (Neg.neg.{max u1 u2} (M₁ -> M₄) (Pi.instNeg.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => SubNegMonoid.toHasNeg.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)))) f))
+but is expected to have type
+  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : ContinuousNeg.{u2} M₄ _inst_11 (NegZeroClass.toNeg.{u2} M₄ (SubNegZeroMonoid.toNegZeroClass.{u2} M₄ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₄ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₄ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₄ _inst_12)))))] {f : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 (Neg.neg.{max u1 u2} (M₁ -> M₄) (Pi.instNeg.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => NegZeroClass.toNeg.{u2} M₄ (SubNegZeroMonoid.toNegZeroClass.{u2} M₄ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₄ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₄ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₄ _inst_12)))))) f))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.neg IsCompactOperator.negₓ'. -/
 theorem IsCompactOperator.neg [ContinuousNeg M₄] {f : M₁ → M₄} (hf : IsCompactOperator f) :
     IsCompactOperator (-f) :=
   let ⟨K, hK, hKf⟩ := hf
   ⟨-K, hK.neg, mem_of_superset hKf fun x (hx : f x ∈ K) => Set.neg_mem_neg.mpr hx⟩
 #align is_compact_operator.neg IsCompactOperator.neg
 
+/- warning: is_compact_operator.sub -> IsCompactOperator.sub is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : TopologicalAddGroup.{u2} M₄ _inst_11 (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)] {f : M₁ -> M₄} {g : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 g) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6))) _inst_5 _inst_11 (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₄) (M₁ -> M₄) (M₁ -> M₄) (instHSub.{max u1 u2} (M₁ -> M₄) (Pi.instSub.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => SubNegMonoid.toHasSub.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12))))) f g))
+but is expected to have type
+  forall {M₁ : Type.{u1}} {M₄ : Type.{u2}} [_inst_5 : TopologicalSpace.{u1} M₁] [_inst_6 : AddCommMonoid.{u1} M₁] [_inst_11 : TopologicalSpace.{u2} M₄] [_inst_12 : AddCommGroup.{u2} M₄] [_inst_13 : TopologicalAddGroup.{u2} M₄ _inst_11 (AddCommGroup.toAddGroup.{u2} M₄ _inst_12)] {f : M₁ -> M₄} {g : M₁ -> M₄}, (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 f) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 g) -> (IsCompactOperator.{u1, u2} M₁ M₄ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_6)) _inst_5 _inst_11 (HSub.hSub.{max u1 u2, max u1 u2, max u1 u2} (M₁ -> M₄) (M₁ -> M₄) (M₁ -> M₄) (instHSub.{max u1 u2} (M₁ -> M₄) (Pi.instSub.{u1, u2} M₁ (fun (ᾰ : M₁) => M₄) (fun (i : M₁) => SubNegMonoid.toSub.{u2} M₄ (AddGroup.toSubNegMonoid.{u2} M₄ (AddCommGroup.toAddGroup.{u2} M₄ _inst_12))))) f g))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.sub IsCompactOperator.subₓ'. -/
 theorem IsCompactOperator.sub [TopologicalAddGroup M₄] {f g : M₁ → M₄} (hf : IsCompactOperator f)
     (hg : IsCompactOperator g) : IsCompactOperator (f - g) := by
   rw [sub_eq_add_neg] <;> exact hf.add hg.neg
@@ -238,6 +354,7 @@ theorem IsCompactOperator.sub [TopologicalAddGroup M₄] {f g : M₁ → M₄} (
 
 variable (σ₁₄ M₁ M₄)
 
+#print compactOperator /-
 /-- The submodule of compact continuous linear maps. -/
 def compactOperator [Module R₁ M₁] [Module R₄ M₄] [ContinuousConstSMul R₄ M₄]
     [TopologicalAddGroup M₄] : Submodule R₄ (M₁ →SL[σ₁₄] M₄)
@@ -247,6 +364,7 @@ def compactOperator [Module R₁ M₁] [Module R₄ M₄] [ContinuousConstSMul R
   zero_mem' := isCompactOperator_zero
   smul_mem' c f hf := hf.smul c
 #align compact_operator compactOperator
+-/
 
 end Operations
 
@@ -256,6 +374,12 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type _} [TopologicalSpace M₁] [TopologicalSpace M₂]
   [TopologicalSpace M₃] [AddCommMonoid M₁] [Module R₁ M₁]
 
+/- warning: is_compact_operator.comp_clm -> IsCompactOperator.comp_clm is a dubious translation:
+lean 3 declaration is
+  forall {R₁ : Type.{u1}} {R₂ : Type.{u2}} [_inst_1 : Semiring.{u1} R₁] [_inst_2 : Semiring.{u2} R₂] {σ₁₂ : RingHom.{u1, u2} R₁ R₂ (Semiring.toNonAssocSemiring.{u1} R₁ _inst_1) (Semiring.toNonAssocSemiring.{u2} R₂ _inst_2)} {M₁ : Type.{u3}} {M₂ : Type.{u4}} {M₃ : Type.{u5}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : TopologicalSpace.{u5} M₃] [_inst_7 : AddCommMonoid.{u3} M₁] [_inst_8 : Module.{u1, u3} R₁ M₁ _inst_1 _inst_7] [_inst_9 : AddCommMonoid.{u4} M₂] [_inst_10 : Module.{u2, u4} R₂ M₂ _inst_2 _inst_9] {f : M₂ -> M₃}, (IsCompactOperator.{u4, u5} M₂ M₃ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ _inst_9))) _inst_5 _inst_6 f) -> (forall (g : ContinuousLinearMap.{u1, u2, u3, u4} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10), IsCompactOperator.{u3, u5} M₁ M₃ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7))) _inst_4 _inst_6 (Function.comp.{succ u3, succ u4, succ u5} M₁ M₂ M₃ f (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) g)))
+but is expected to have type
+  forall {R₁ : Type.{u2}} {R₂ : Type.{u4}} [_inst_1 : Semiring.{u2} R₁] [_inst_2 : Semiring.{u4} R₂] {σ₁₂ : RingHom.{u2, u4} R₁ R₂ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1) (Semiring.toNonAssocSemiring.{u4} R₂ _inst_2)} {M₁ : Type.{u1}} {M₂ : Type.{u5}} {M₃ : Type.{u3}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_5 : TopologicalSpace.{u5} M₂] [_inst_6 : TopologicalSpace.{u3} M₃] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_8 : Module.{u2, u1} R₁ M₁ _inst_1 _inst_7] [_inst_9 : AddCommMonoid.{u5} M₂] [_inst_10 : Module.{u4, u5} R₂ M₂ _inst_2 _inst_9] {f : M₂ -> M₃}, (IsCompactOperator.{u5, u3} M₂ M₃ (AddMonoid.toZero.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ _inst_9)) _inst_5 _inst_6 f) -> (forall (g : ContinuousLinearMap.{u2, u4, u1, u5} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10), IsCompactOperator.{u1, u3} M₁ M₃ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_6 (Function.comp.{succ u1, succ u5, succ u3} M₁ M₂ M₃ f (FunLike.coe.{max (succ u1) (succ u5), succ u1, succ u5} (ContinuousLinearMap.{u2, u4, u1, u5} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u1 u5, u1, u5} (ContinuousLinearMap.{u2, u4, u1, u5} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) M₁ M₂ _inst_4 _inst_5 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u1 u5, u2, u4, u1, u5} (ContinuousLinearMap.{u2, u4, u1, u5} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10) R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u4, u1, u5} R₁ R₂ _inst_1 _inst_2 σ₁₂ M₁ _inst_4 _inst_7 M₂ _inst_5 _inst_9 _inst_8 _inst_10))) g)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.comp_clm IsCompactOperator.comp_clmₓ'. -/
 theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f : M₂ → M₃}
     (hf : IsCompactOperator f) (g : M₁ →SL[σ₁₂] M₂) : IsCompactOperator (f ∘ g) :=
   by
@@ -265,6 +389,12 @@ theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f :
   exact ⟨K, hK, this hKf⟩
 #align is_compact_operator.comp_clm IsCompactOperator.comp_clm
 
+/- warning: is_compact_operator.continuous_comp -> IsCompactOperator.continuous_comp is a dubious translation:
+lean 3 declaration is
+  forall {M₁ : Type.{u1}} {M₂ : Type.{u2}} {M₃ : Type.{u3}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : TopologicalSpace.{u3} M₃] [_inst_7 : AddCommMonoid.{u1} M₁] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u2} M₁ M₂ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7))) _inst_4 _inst_5 f) -> (forall {g : M₂ -> M₃}, (Continuous.{u2, u3} M₂ M₃ _inst_5 _inst_6 g) -> (IsCompactOperator.{u1, u3} M₁ M₃ (AddZeroClass.toHasZero.{u1} M₁ (AddMonoid.toAddZeroClass.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7))) _inst_4 _inst_6 (Function.comp.{succ u1, succ u2, succ u3} M₁ M₂ M₃ g f)))
+but is expected to have type
+  forall {M₁ : Type.{u3}} {M₂ : Type.{u2}} {M₃ : Type.{u1}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : TopologicalSpace.{u2} M₂] [_inst_6 : TopologicalSpace.{u1} M₃] [_inst_7 : AddCommMonoid.{u3} M₁] {f : M₁ -> M₂}, (IsCompactOperator.{u3, u2} M₁ M₂ (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7)) _inst_4 _inst_5 f) -> (forall {g : M₂ -> M₃}, (Continuous.{u2, u1} M₂ M₃ _inst_5 _inst_6 g) -> (IsCompactOperator.{u3, u1} M₁ M₃ (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7)) _inst_4 _inst_6 (Function.comp.{succ u3, succ u2, succ u1} M₁ M₂ M₃ g f)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous_comp IsCompactOperator.continuous_compₓ'. -/
 theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOperator f) {g : M₂ → M₃}
     (hg : Continuous g) : IsCompactOperator (g ∘ f) :=
   by
@@ -274,6 +404,12 @@ theorem IsCompactOperator.continuous_comp {f : M₁ → M₂} (hf : IsCompactOpe
   exact preimage_mono (subset_preimage_image _ _)
 #align is_compact_operator.continuous_comp IsCompactOperator.continuous_comp
 
+/- warning: is_compact_operator.clm_comp -> IsCompactOperator.clm_comp is a dubious translation:
+lean 3 declaration is
+  forall {R₂ : Type.{u1}} {R₃ : Type.{u2}} [_inst_2 : Semiring.{u1} R₂] [_inst_3 : Semiring.{u2} R₃] {σ₂₃ : RingHom.{u1, u2} R₂ R₃ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u2} R₃ _inst_3)} {M₁ : Type.{u3}} {M₂ : Type.{u4}} {M₃ : Type.{u5}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : TopologicalSpace.{u4} M₂] [_inst_6 : TopologicalSpace.{u5} M₃] [_inst_7 : AddCommMonoid.{u3} M₁] [_inst_9 : AddCommMonoid.{u4} M₂] [_inst_10 : Module.{u1, u4} R₂ M₂ _inst_2 _inst_9] [_inst_11 : AddCommMonoid.{u5} M₃] [_inst_12 : Module.{u2, u5} R₃ M₃ _inst_3 _inst_11] {f : M₁ -> M₂}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7))) _inst_4 _inst_5 f) -> (forall (g : ContinuousLinearMap.{u1, u2, u4, u5} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12), IsCompactOperator.{u3, u5} M₁ M₃ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_7))) _inst_4 _inst_6 (Function.comp.{succ u3, succ u4, succ u5} M₁ M₂ M₃ (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u1, u2, u4, u5} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) (fun (_x : ContinuousLinearMap.{u1, u2, u4, u5} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) => M₂ -> M₃) (ContinuousLinearMap.toFun.{u1, u2, u4, u5} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) g) f))
+but is expected to have type
+  forall {R₂ : Type.{u4}} {R₃ : Type.{u2}} [_inst_2 : Semiring.{u4} R₂] [_inst_3 : Semiring.{u2} R₃] {σ₂₃ : RingHom.{u4, u2} R₂ R₃ (Semiring.toNonAssocSemiring.{u4} R₂ _inst_2) (Semiring.toNonAssocSemiring.{u2} R₃ _inst_3)} {M₁ : Type.{u1}} {M₂ : Type.{u5}} {M₃ : Type.{u3}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_5 : TopologicalSpace.{u5} M₂] [_inst_6 : TopologicalSpace.{u3} M₃] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_9 : AddCommMonoid.{u5} M₂] [_inst_10 : Module.{u4, u5} R₂ M₂ _inst_2 _inst_9] [_inst_11 : AddCommMonoid.{u3} M₃] [_inst_12 : Module.{u2, u3} R₃ M₃ _inst_3 _inst_11] {f : M₁ -> M₂}, (IsCompactOperator.{u1, u5} M₁ M₂ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_5 f) -> (forall (g : ContinuousLinearMap.{u4, u2, u5, u3} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12), IsCompactOperator.{u1, u3} M₁ M₃ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_6 (Function.comp.{succ u1, succ u5, succ u3} M₁ M₂ M₃ (FunLike.coe.{max (succ u5) (succ u3), succ u5, succ u3} (ContinuousLinearMap.{u4, u2, u5, u3} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) M₂ (fun (_x : M₂) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₂) => M₃) _x) (ContinuousMapClass.toFunLike.{max u5 u3, u5, u3} (ContinuousLinearMap.{u4, u2, u5, u3} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) M₂ M₃ _inst_5 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u5 u3, u4, u2, u5, u3} (ContinuousLinearMap.{u4, u2, u5, u3} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12) R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u2, u5, u3} R₂ R₃ _inst_2 _inst_3 σ₂₃ M₂ _inst_5 _inst_9 M₃ _inst_6 _inst_11 _inst_10 _inst_12))) g) f))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.clm_comp IsCompactOperator.clm_compₓ'. -/
 theorem IsCompactOperator.clm_comp [AddCommMonoid M₂] [Module R₂ M₂] [AddCommMonoid M₃]
     [Module R₃ M₃] {f : M₁ → M₂} (hf : IsCompactOperator f) (g : M₂ →SL[σ₂₃] M₃) :
     IsCompactOperator (g ∘ f) :=
@@ -288,6 +424,12 @@ variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ 
   [TopologicalSpace M₁] [TopologicalSpace M₂] [AddCommMonoid M₁] [AddCommMonoid M₂] [Module R₁ M₁]
   [Module R₂ M₂]
 
+/- warning: is_compact_operator.cod_restrict -> IsCompactOperator.codRestrict is a dubious translation:
+lean 3 declaration is
+  forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₁ : Type.{u2}} {M₂ : Type.{u3}} [_inst_3 : TopologicalSpace.{u2} M₁] [_inst_4 : TopologicalSpace.{u3} M₂] [_inst_5 : AddCommMonoid.{u2} M₁] [_inst_6 : AddCommMonoid.{u3} M₂] [_inst_8 : Module.{u1, u3} R₂ M₂ _inst_2 _inst_6] {f : M₁ -> M₂}, (IsCompactOperator.{u2, u3} M₁ M₂ (AddZeroClass.toHasZero.{u2} M₁ (AddMonoid.toAddZeroClass.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_5))) _inst_3 _inst_4 f) -> (forall {V : Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8} (hV : forall (x : M₁), Membership.Mem.{u3, u3} M₂ (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (SetLike.hasMem.{u3, u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8)) (f x) V), (IsClosed.{u3} M₂ _inst_4 ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (HasLiftT.mk.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (CoeTCₓ.coe.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (SetLike.Set.hasCoeT.{u3, u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8)))) V)) -> (IsCompactOperator.{u2, u3} M₁ (coeSort.{succ u3, succ (succ u3)} (Set.{u3} M₂) Type.{u3} (Set.hasCoeToSort.{u3} M₂) ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (HasLiftT.mk.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (CoeTCₓ.coe.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (SetLike.Set.hasCoeT.{u3, u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8)))) V)) (AddZeroClass.toHasZero.{u2} M₁ (AddMonoid.toAddZeroClass.{u2} M₁ (AddCommMonoid.toAddMonoid.{u2} M₁ _inst_5))) _inst_3 (Subtype.topologicalSpace.{u3} M₂ (fun (x : M₂) => Membership.Mem.{u3, u3} M₂ (Set.{u3} M₂) (Set.hasMem.{u3} M₂) x ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (HasLiftT.mk.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (CoeTCₓ.coe.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (SetLike.Set.hasCoeT.{u3, u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8)))) V)) _inst_4) (Set.codRestrict.{u3, succ u2} M₂ M₁ f ((fun (a : Type.{u3}) (b : Type.{u3}) [self : HasLiftT.{succ u3, succ u3} a b] => self.0) (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (HasLiftT.mk.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (CoeTCₓ.coe.{succ u3, succ u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) (Set.{u3} M₂) (SetLike.Set.hasCoeT.{u3, u3} (Submodule.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u3} R₂ M₂ _inst_2 _inst_6 _inst_8)))) V) hV)))
+but is expected to have type
+  forall {R₂ : Type.{u1}} [_inst_2 : Semiring.{u1} R₂] {M₁ : Type.{u3}} {M₂ : Type.{u2}} [_inst_3 : TopologicalSpace.{u3} M₁] [_inst_4 : TopologicalSpace.{u2} M₂] [_inst_5 : AddCommMonoid.{u3} M₁] [_inst_6 : AddCommMonoid.{u2} M₂] [_inst_8 : Module.{u1, u2} R₂ M₂ _inst_2 _inst_6] {f : M₁ -> M₂}, (IsCompactOperator.{u3, u2} M₁ M₂ (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_5)) _inst_3 _inst_4 f) -> (forall {V : Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8} (hV : forall (x : M₁), Membership.mem.{u2, u2} M₂ (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) (SetLike.instMembership.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8)) (f x) V), (IsClosed.{u2} M₂ _inst_4 (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) V)) -> (IsCompactOperator.{u3, u2} M₁ (Set.Elem.{u2} M₂ (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) V)) (AddMonoid.toZero.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ _inst_5)) _inst_3 (instTopologicalSpaceSubtype.{u2} M₂ (fun (x : M₂) => Membership.mem.{u2, u2} M₂ (Set.{u2} M₂) (Set.instMembershipSet.{u2} M₂) x (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) V)) _inst_4) (Set.codRestrict.{u2, succ u3} M₂ M₁ f (SetLike.coe.{u2, u2} (Submodule.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) M₂ (Submodule.setLike.{u1, u2} R₂ M₂ _inst_2 _inst_6 _inst_8) V) hV)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.cod_restrict IsCompactOperator.codRestrictₓ'. -/
 theorem IsCompactOperator.codRestrict {f : M₁ → M₂} (hf : IsCompactOperator f) {V : Submodule R₂ M₂}
     (hV : ∀ x, f x ∈ V) (h_closed : IsClosed (V : Set M₂)) :
     IsCompactOperator (Set.codRestrict f V hV) :=
@@ -304,6 +446,12 @@ variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R
   [TopologicalSpace M₃] [AddCommMonoid M₁] [AddCommMonoid M₂] [AddCommMonoid M₃] [Module R₁ M₁]
   [Module R₂ M₂] [Module R₃ M₃]
 
+/- warning: is_compact_operator.restrict -> IsCompactOperator.restrict is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
+  forall {R₁ : Type.{u2}} [_inst_1 : Semiring.{u2} R₁] {M₁ : Type.{u1}} [_inst_4 : TopologicalSpace.{u1} M₁] [_inst_7 : AddCommMonoid.{u1} M₁] [_inst_10 : Module.{u2, u1} R₁ M₁ _inst_1 _inst_7] {f : LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10}, (IsCompactOperator.{u1, u1} M₁ M₁ (AddMonoid.toZero.{u1} M₁ (AddCommMonoid.toAddMonoid.{u1} M₁ _inst_7)) _inst_4 _inst_4 (FunLike.coe.{succ u1, succ u1, succ u1} (LinearMap.{u2, u2, u1, u1} R₁ R₁ _inst_1 _inst_1 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1)) M₁ M₁ _inst_7 _inst_7 _inst_10 _inst_10) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₁) _x) (LinearMap.instFunLikeLinearMap.{u2, u2, u1, u1} R₁ R₁ M₁ M₁ _inst_1 _inst_1 _inst_7 _inst_7 _inst_10 _inst_10 (RingHom.id.{u2} R₁ (Semiring.toNonAssocSemiring.{u2} R₁ _inst_1))) f)) -> (forall {V : Submodule.{u2, u1} R₁ M₁ 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+Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict IsCompactOperator.restrictₓ'. -/
 /-- If a compact operator preserves a closed submodule, its restriction to that submodule is
 compact.
 
@@ -318,6 +466,12 @@ theorem IsCompactOperator.restrict {f : M₁ →ₗ[R₁] M₁} (hf : IsCompactO
   (hf.comp_clm V.subtypeL).codRestrict (SetLike.forall.2 hV) h_closed
 #align is_compact_operator.restrict IsCompactOperator.restrict
 
+/- warning: is_compact_operator.restrict' -> IsCompactOperator.restrict' is a dubious translation:
+lean 3 declaration is
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+but is expected to have type
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(Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (Submodule.module.{u1, u2} R₂ M₂ _inst_2 _inst_8 _inst_11 V) (RingHom.id.{u1} R₂ (Semiring.toNonAssocSemiring.{u1} R₂ _inst_2))) (LinearMap.restrict.{u1, u2, u2} R₂ M₂ M₂ _inst_2 _inst_8 _inst_8 _inst_11 _inst_11 f V V hV)))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.restrict' IsCompactOperator.restrict'ₓ'. -/
 /-- If a compact operator preserves a complete submodule, its restriction to that submodule is
 compact.
 
@@ -341,6 +495,12 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Nontrivia
   [TopologicalSpace M₂] [AddCommGroup M₂] [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [TopologicalAddGroup M₁]
   [ContinuousConstSMul 𝕜₁ M₁] [TopologicalAddGroup M₂] [ContinuousSMul 𝕜₂ M₂]
 
+/- warning: is_compact_operator.continuous -> IsCompactOperator.continuous is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u3, u4} M₁ M₂ _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (Continuous.{u2, u1} M₁ M₂ _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator.continuous IsCompactOperator.continuousₓ'. -/
 @[continuity]
 theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     Continuous f :=
@@ -376,12 +536,24 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   exact hc.le
 #align is_compact_operator.continuous IsCompactOperator.continuous
 
+/- warning: continuous_linear_map.mk_of_is_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
+but is expected to have type
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u1, u3} 𝕜₁ M₁ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u1, u3} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u1} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u1} 𝕜₁ (Semifield.toCommGroupWithZero.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u2, u4} 𝕜₂ M₂ (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u2, u4} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u2} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₂ (Semifield.toCommGroupWithZero.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u4} M₂ (SubNegZeroMonoid.toNegZeroClass.{u4} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u4} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u4} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u4} M₂ _inst_7))))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9}, (IsCompactOperator.{u3, u4} M₁ M₂ (NegZeroClass.toZero.{u3} M₁ (SubNegZeroMonoid.toNegZeroClass.{u3} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u3} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u3} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)) -> (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₁ (Semifield.toDivisionSemiring.{u1} 𝕜₁ (Field.toSemifield.{u1} 𝕜₁ (NormedField.toField.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toDivisionSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperatorₓ'. -/
 /-- Upgrade a compact `linear_map` to a `continuous_linear_map`. -/
 def ContinuousLinearMap.mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) :
     M₁ →SL[σ₁₂] M₂ :=
   ⟨f, hf.Continuous⟩
 #align continuous_linear_map.mk_of_is_compact_operator ContinuousLinearMap.mkOfIsCompactOperator
 
+/- warning: continuous_linear_map.mk_of_is_compact_operator_to_linear_map -> ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) ((fun (a : Sort.{max (succ u3) (succ u4)}) (b : Sort.{max (succ u3) (succ u4)}) [self : HasLiftT.{max (succ u3) (succ u4), max (succ u3) (succ u4)} a b] => self.0) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (HasLiftT.mk.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CoeTCₓ.coe.{max (succ u3) (succ u4), max (succ 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(AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (coeBase.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ 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_inst_12 _inst_13 f hf)) f
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.toLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) f
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMapₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
@@ -389,12 +561,24 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap {f : M₁ →ₛ
   rfl
 #align continuous_linear_map.mk_of_is_compact_operator_to_linear_map ContinuousLinearMap.mkOfIsCompactOperator_to_linearMap
 
+/- warning: continuous_linear_map.coe_mk_of_is_compact_operator -> ContinuousLinearMap.coe_mkOfIsCompactOperator is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u3) (succ u4)} ((fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Eq.{max (succ u2) (succ u1)} (forall (a : M₁), (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) a) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ M₂ _inst_4 _inst_6 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf)) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperatorₓ'. -/
 @[simp]
 theorem ContinuousLinearMap.coe_mkOfIsCompactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) : (ContinuousLinearMap.mkOfIsCompactOperator hf : M₁ → M₂) = f :=
   rfl
 #align continuous_linear_map.coe_mk_of_is_compact_operator ContinuousLinearMap.coe_mkOfIsCompactOperator
 
+/- warning: continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator -> ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (NormedField.toHasNorm.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)) (NormedField.toHasNorm.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_4 : TopologicalSpace.{u3} M₁] [_inst_5 : AddCommGroup.{u3} M₁] [_inst_6 : TopologicalSpace.{u4} M₂] [_inst_7 : AddCommGroup.{u4} M₂] [_inst_8 : Module.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)] [_inst_9 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u3} M₁ _inst_4 (AddCommGroup.toAddGroup.{u3} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u1, u3} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ M₁ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ M₁ (MulZeroClass.toHasZero.{u1} 𝕜₁ (MulZeroOneClass.toMulZeroClass.{u1} 𝕜₁ (MonoidWithZero.toMulZeroOneClass.{u1} 𝕜₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (AddCommMonoid.toAddMonoid.{u3} M₁ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ M₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u4} M₂ _inst_6 (AddCommGroup.toAddGroup.{u4} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u2, u4} 𝕜₂ M₂ (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (AddCommGroup.toAddGroup.{u3} M₁ _inst_5))))) _inst_4 _inst_6 (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (fun (_x : LinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) => M₁ -> M₂) (LinearMap.hasCoeToFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ M₁ M₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.Mem.{max u3 u4, max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (SetLike.hasMem.{max u3 u4, max u3 u4} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12))) (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_8 _inst_9 (compactOperator._proof_1.{u4} M₂ _inst_6 _inst_7 _inst_12)) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9 _inst_9 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) M₂ _inst_7 _inst_9) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (compactOperator._proof_3.{u4} M₂ _inst_6 _inst_7 _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u3} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2)))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NontriviallyNormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))} [_inst_3 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (NormedField.toNorm.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)) (NormedField.toNorm.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)) σ₁₂] {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_4 : TopologicalSpace.{u2} M₁] [_inst_5 : AddCommGroup.{u2} M₁] [_inst_6 : TopologicalSpace.{u1} M₂] [_inst_7 : AddCommGroup.{u1} M₂] [_inst_8 : Module.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5)] [_inst_9 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7)] [_inst_10 : TopologicalAddGroup.{u2} M₁ _inst_4 (AddCommGroup.toAddGroup.{u2} M₁ _inst_5)] [_inst_11 : ContinuousConstSMul.{u4, u2} 𝕜₁ M₁ _inst_4 (SMulZeroClass.toSMul.{u4, u2} 𝕜₁ M₁ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (SMulWithZero.toSMulZeroClass.{u4, u2} 𝕜₁ M₁ (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (MulActionWithZero.toSMulWithZero.{u4, u2} 𝕜₁ M₁ (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) (Module.toMulActionWithZero.{u4, u2} 𝕜₁ M₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8))))] [_inst_12 : TopologicalAddGroup.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7)] [_inst_13 : ContinuousSMul.{u3, u1} 𝕜₂ M₂ (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6] {f : LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9} (hf : IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ _inst_5))))) _inst_4 _inst_6 (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (LinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ M₂ (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Algebra.Module.LinearMap._hyg.6190 : M₁) => M₂) _x) (LinearMap.instFunLikeLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ M₁ M₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 σ₁₂) f)), Membership.mem.{max u1 u2, max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (SetLike.instMembership.{max u2 u1, max u2 u1} (Submodule.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12))) (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (Submodule.setLike.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) σ₁₂ M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_8 _inst_9 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) M₁ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_8 M₂ _inst_6 (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9 _inst_9 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9))) (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ _inst_6 (AddCommGroup.toAddGroup.{u1} M₂ _inst_7) _inst_12)))) (ContinuousLinearMap.mkOfIsCompactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ₁₂ _inst_3 M₁ M₂ _inst_4 _inst_5 _inst_6 _inst_7 _inst_8 _inst_9 _inst_10 _inst_11 _inst_12 _inst_13 f hf) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ M₂ _inst_4 (AddCommGroup.toAddCommMonoid.{u2} M₁ _inst_5) _inst_6 _inst_7 _inst_8 _inst_9 (ContinuousSMul.continuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))))) _inst_6 (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommSemiring.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2)))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_7))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ (NontriviallyNormedField.toNormedField.{u3} 𝕜₂ _inst_2))))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_7) _inst_9)))) _inst_13) _inst_12)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.mk_of_is_compact_operator_mem_compact_operator ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperatorₓ'. -/
 theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) :
     ContinuousLinearMap.mkOfIsCompactOperator hf ∈ compactOperator σ₁₂ M₁ M₂ :=
@@ -403,6 +587,12 @@ theorem ContinuousLinearMap.mkOfIsCompactOperator_mem_compactOperator {f : M₁
 
 end Continuous
 
+/- warning: is_closed_set_of_is_compact_operator -> isClosed_setOf_isCompactOperator is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : AddCommGroup.{u4} M₂] [_inst_5 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)] [_inst_7 : UniformSpace.{u4} M₂] [_inst_8 : UniformAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u4} M₂ _inst_7], IsClosed.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (setOf.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (f : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => IsCompactOperator.{u3, u4} M₁ M₂ (AddZeroClass.toHasZero.{u3} M₁ (AddMonoid.toAddZeroClass.{u3} M₁ (SubNegMonoid.toAddMonoid.{u3} M₁ (AddGroup.toSubNegMonoid.{u3} M₁ (SeminormedAddGroup.toAddGroup.{u3} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u3} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (coeFn.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) f)))
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7], IsClosed.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (setOf.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) f)))
+Case conversion may be inaccurate. Consider using '#align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperatorₓ'. -/
 /-- The set of compact operators from a normed space to a complete topological vector space is
 closed. -/
 theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
@@ -444,6 +634,12 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   abel
 #align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperator
 
+/- warning: compact_operator_topological_closure -> compactOperator_topologicalClosure is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NontriviallyNormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ₁₂ : RingHom.{u1, u2} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₁ (Ring.toNonAssocRing.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {M₁ : Type.{u3}} {M₂ : Type.{u4}} [_inst_3 : SeminormedAddCommGroup.{u3} M₁] [_inst_4 : AddCommGroup.{u4} M₂] [_inst_5 : NormedSpace.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)] [_inst_7 : UniformSpace.{u4} M₂] [_inst_8 : UniformAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u2, u4} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u4} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toHasSmul.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (SMulWithZero.toSmulZeroClass.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulZeroClass.toHasZero.{u2} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u2} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u2} 𝕜₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (MulActionWithZero.toSMulWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toAddZeroClass.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))))) (Module.toMulActionWithZero.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u2, u4} 𝕜₂ M₂ (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u2} 𝕜₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u4} M₂ (AddMonoid.toAddZeroClass.{u4} M₂ (AddCommMonoid.toAddMonoid.{u4} M₂ (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ M₂ (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.to_continuousAdd.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))], Eq.{succ (max u3 u4)} (Submodule.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u2, max u3 u4} 𝕜₂ (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (UniformSpace.toTopologicalSpace.{u2} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u2} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u2} 𝕜₂ (SeminormedCommRing.toSemiNormedRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (compactOperator._proof_1.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u1, u2, u2, u3, u4} 𝕜₁ 𝕜₂ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) _inst_6 _inst_6 (compactOperator._proof_2.{u2, u4} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) M₂ _inst_4 _inst_6) _inst_9 σ₁₂ (compactOperator._proof_3.{u4} M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) _inst_12 (TopologicalAddGroup.to_continuousAdd.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u2} 𝕜₂ (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u4} M₂ _inst_4) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3) (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))) (compactOperator.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u2} 𝕜₂ (Field.toSemifield.{u2} 𝕜₂ (NormedField.toField.{u2} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u3} M₁ (PseudoMetricSpace.toUniformSpace.{u3} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u3} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u3} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u3} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u4} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u1, u3} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u1} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u4} M₂ _inst_7 (AddCommGroup.toAddGroup.{u4} M₂ _inst_4) _inst_8))
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] [_inst_12 : ContinuousSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (ContinuousLinearMap.zero.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (IsScalarTower.to_smulCommClass'.{u3, u3, u1} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedAlgebra.toAlgebra.{u3, u3} 𝕜₂ 𝕜₂ _inst_2 (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) (NormedAlgebra.id.{u3} 𝕜₂ _inst_2)) M₂ (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (IsScalarTower.left.{u3, u1} 𝕜₂ M₂ (MonoidWithZero.toMonoid.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6)))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))], Eq.{max (succ u2) (succ u1)} (Submodule.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)))) (Submodule.topologicalClosure.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (UniformSpace.toTopologicalSpace.{u3} 𝕜₂ (PseudoMetricSpace.toUniformSpace.{u3} 𝕜₂ (SeminormedRing.toPseudoMetricSpace.{u3} 𝕜₂ (SeminormedCommRing.toSeminormedRing.{u3} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (SMulZeroClass.toSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (SMulWithZero.toSMulZeroClass.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (MulActionWithZero.toSMulWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (AddCommMonoid.toAddMonoid.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))) (Module.toMulActionWithZero.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.module.{u4, u3, u3, u2, u1} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6 _inst_6 (smulCommClass_self.{u3, u1} 𝕜₂ M₂ (CommSemiring.toCommMonoid.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))) _inst_9 σ₁₂ (TopologicalAddGroup.toContinuousAdd.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))))))) _inst_12) (TopologicalAddGroup.toContinuousAdd.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) (AddCommGroup.toAddGroup.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (CommSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.addCommGroup.{u4, u3, u2, u1} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))) 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))) M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 σ₁₂ (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (ContinuousLinearMap.topologicalAddGroup.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))) (compactOperator.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (Semifield.toCommSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))) σ₁₂ M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) _inst_4 (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 _inst_9 (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8))
+Case conversion may be inaccurate. Consider using '#align compact_operator_topological_closure compactOperator_topologicalClosureₓ'. -/
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
@@ -453,6 +649,12 @@ theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [Nontrivia
   SetLike.ext' isClosed_setOf_isCompactOperator.closure_eq
 #align compact_operator_topological_closure compactOperator_topologicalClosure
 
+/- warning: is_compact_operator_of_tendsto -> isCompactOperator_of_tendsto is a dubious translation:
+lean 3 declaration is
+  forall {ι : Type.{u1}} {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u2, u3} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1)))))) (NonAssocRing.toNonAssocSemiring.{u3} 𝕜₂ (Ring.toNonAssocRing.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u4}} {M₂ : Type.{u5}} [_inst_3 : SeminormedAddCommGroup.{u4} M₁] [_inst_4 : AddCommGroup.{u5} M₂] [_inst_5 : NormedSpace.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u5} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)] [_inst_7 : UniformSpace.{u5} M₂] [_inst_8 : UniformAddGroup.{u5} M₂ _inst_7 (AddCommGroup.toAddGroup.{u5} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u5} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (SMulZeroClass.toHasSmul.{u3, u5} 𝕜₂ M₂ (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (SMulWithZero.toSmulZeroClass.{u3, u5} 𝕜₂ M₂ (MulZeroClass.toHasZero.{u3} 𝕜₂ (MulZeroOneClass.toMulZeroClass.{u3} 𝕜₂ (MonoidWithZero.toMulZeroOneClass.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))))))) (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (MulActionWithZero.toSMulWithZero.{u3, u5} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2))))) (AddZeroClass.toHasZero.{u5} M₂ (AddMonoid.toAddZeroClass.{u5} M₂ (AddCommMonoid.toAddMonoid.{u5} M₂ (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4)))) (Module.toMulActionWithZero.{u3, u5} 𝕜₂ M₂ (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u5} M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u5} M₂ _inst_7] {l : Filter.{u1} ι} [_inst_12 : Filter.NeBot.{u1} ι l] {F : ι -> (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6)} {f : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6}, (Filter.Tendsto.{u1, max u4 u5} ι (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) F l (nhds.{max u4 u5} (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u5} M₂ _inst_7 (AddCommGroup.toAddGroup.{u5} M₂ _inst_4) _inst_8)) f)) -> (Filter.Eventually.{u1} ι (fun (i : ι) => IsCompactOperator.{u4, u5} M₁ M₂ (AddZeroClass.toHasZero.{u4} M₁ (AddMonoid.toAddZeroClass.{u4} M₁ (SubNegMonoid.toAddMonoid.{u4} M₁ (AddGroup.toSubNegMonoid.{u4} M₁ (SeminormedAddGroup.toAddGroup.{u4} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (F i))) l) -> (IsCompactOperator.{u4, u5} M₁ M₂ (AddZeroClass.toHasZero.{u4} M₁ (AddMonoid.toAddZeroClass.{u4} M₁ (SubNegMonoid.toAddMonoid.{u4} M₁ (AddGroup.toSubNegMonoid.{u4} M₁ (SeminormedAddGroup.toAddGroup.{u4} M₁ (SeminormedAddCommGroup.toSeminormedAddGroup.{u4} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (coeFn.{max (succ u4) (succ u5), max (succ u4) (succ u5)} (ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (fun (_x : ContinuousLinearMap.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) => M₁ -> M₂) (ContinuousLinearMap.toFun.{u2, u3, u4, u5} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1))))) (Ring.toSemiring.{u3} 𝕜₂ (NormedRing.toRing.{u3} 𝕜₂ (NormedCommRing.toNormedRing.{u3} 𝕜₂ (NormedField.toNormedCommRing.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u4} M₁ (PseudoMetricSpace.toUniformSpace.{u4} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u4} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u4} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u4} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u5} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u5} M₂ _inst_4) (NormedSpace.toModule.{u2, u4} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u2} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) f))
+but is expected to have type
+  forall {ι : Type.{u5}} {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NontriviallyNormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] {σ₁₂ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1)))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))} {M₁ : Type.{u2}} {M₂ : Type.{u1}} [_inst_3 : SeminormedAddCommGroup.{u2} M₁] [_inst_4 : AddCommGroup.{u1} M₂] [_inst_5 : NormedSpace.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3] [_inst_6 : Module.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4)] [_inst_7 : UniformSpace.{u1} M₂] [_inst_8 : UniformAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4)] [_inst_9 : ContinuousConstSMul.{u3, u1} 𝕜₂ M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (SMulZeroClass.toSMul.{u3, u1} 𝕜₂ M₂ (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (SMulWithZero.toSMulZeroClass.{u3, u1} 𝕜₂ M₂ (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (MulActionWithZero.toSMulWithZero.{u3, u1} 𝕜₂ M₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u1} M₂ (SubNegZeroMonoid.toNegZeroClass.{u1} M₂ (SubtractionMonoid.toSubNegZeroMonoid.{u1} M₂ (SubtractionCommMonoid.toSubtractionMonoid.{u1} M₂ (AddCommGroup.toDivisionAddCommMonoid.{u1} M₂ _inst_4))))) (Module.toMulActionWithZero.{u3, u1} 𝕜₂ M₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) _inst_6))))] [_inst_10 : T2Space.{u1} M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7)] [_inst_11 : CompleteSpace.{u1} M₂ _inst_7] {l : Filter.{u5} ι} [_inst_12 : Filter.NeBot.{u5} ι l] {F : ι -> (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6)} {f : ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6}, (Filter.Tendsto.{u5, max u2 u1} ι (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) F l (nhds.{max u2 u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) (ContinuousLinearMap.topologicalSpace.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_2 σ₁₂ M₁ M₂ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_4 _inst_6 (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (UniformAddGroup.to_topologicalAddGroup.{u1} M₂ _inst_7 (AddCommGroup.toAddGroup.{u1} M₂ _inst_4) _inst_8)) f)) -> (Filter.Eventually.{u5} ι (fun (i : ι) => IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) (F i))) l) -> (IsCompactOperator.{u2, u1} M₁ M₂ (NegZeroClass.toZero.{u2} M₁ (SubNegZeroMonoid.toNegZeroClass.{u2} M₁ (SubtractionMonoid.toSubNegZeroMonoid.{u2} M₁ (SubtractionCommMonoid.toSubtractionMonoid.{u2} M₁ (AddCommGroup.toDivisionAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)))))) (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ (fun (_x : M₁) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : M₁) => M₂) _x) (ContinuousMapClass.toFunLike.{max u2 u1, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) M₁ M₂ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u2 u1, u4, u3, u2, u1} (ContinuousLinearMap.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6 (ContinuousLinearMap.continuousSemilinearMapClass.{u4, u3, u2, u1} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1))))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ₁₂ M₁ (UniformSpace.toTopologicalSpace.{u2} M₁ (PseudoMetricSpace.toUniformSpace.{u2} M₁ (SeminormedAddCommGroup.toPseudoMetricSpace.{u2} M₁ _inst_3))) (AddCommGroup.toAddCommMonoid.{u2} M₁ (SeminormedAddCommGroup.toAddCommGroup.{u2} M₁ _inst_3)) M₂ (UniformSpace.toTopologicalSpace.{u1} M₂ _inst_7) (AddCommGroup.toAddCommMonoid.{u1} M₂ _inst_4) (NormedSpace.toModule.{u4, u2} 𝕜₁ M₁ (NontriviallyNormedField.toNormedField.{u4} 𝕜₁ _inst_1) _inst_3 _inst_5) _inst_6))) f))
+Case conversion may be inaccurate. Consider using '#align is_compact_operator_of_tendsto isCompactOperator_of_tendstoₓ'. -/
 theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]

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

@@ -4,12 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathbin.Analysis.NormedSpace.OperatorNorm
 import Mathbin.Analysis.LocallyConvex.Bounded
+import Mathbin.Topology.Algebra.Module.StrongTopology
 
 /-!
 # Compact operators

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

@@ -99,7 +99,7 @@ end
 
 section Bounded
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SemiNormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
+variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
@@ -125,7 +125,7 @@ end Bounded
 
 section NormedSpace
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SemiNormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
+variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
   {M₁ M₂ M₃ : Type _} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/eb0cb4511aaef0da2462207b67358a0e1fe1e2ee

@@ -346,7 +346,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
     Continuous f :=
   by
   letI : UniformSpace M₂ := TopologicalAddGroup.toUniformSpace _
-  haveI : UniformAddGroup M₂ := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup M₂ := comm_topologicalAddGroup_is_uniform
   -- Since `f` is linear, we only need to show that it is continuous at zero.
   -- Let `U` be a neighborhood of `0` in `M₂`.
   refine' continuous_of_continuousAt_zero f fun U hU => _

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

@@ -225,7 +225,7 @@ theorem IsCompactOperator.add [ContinuousAdd M₂] {f g : M₁ → M₂} (hf : I
     mem_of_superset (inter_mem hAf hBg) fun x ⟨hxA, hxB⟩ => Set.add_mem_add hxA hxB⟩
 #align is_compact_operator.add IsCompactOperator.add
 
-theorem IsCompactOperator.neg [HasContinuousNeg M₄] {f : M₁ → M₄} (hf : IsCompactOperator f) :
+theorem IsCompactOperator.neg [ContinuousNeg M₄] {f : M₁ → M₄} (hf : IsCompactOperator f) :
     IsCompactOperator (-f) :=
   let ⟨K, hK, hKf⟩ := hf
   ⟨-K, hK.neg, mem_of_superset hKf fun x (hx : f x ∈ K) => Set.neg_mem_neg.mpr hx⟩
@@ -349,7 +349,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   haveI : UniformAddGroup M₂ := topological_add_commGroup_is_uniform
   -- Since `f` is linear, we only need to show that it is continuous at zero.
   -- Let `U` be a neighborhood of `0` in `M₂`.
-  refine' continuous_of_continuous_at_zero f fun U hU => _
+  refine' continuous_of_continuousAt_zero f fun U hU => _
   rw [map_zero] at hU
   -- The compactness of `f` gives us a compact set `K : set M₂` such that `f ⁻¹' K` is a
   -- neighborhood of `0` in `M₁`.

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

We had duplicated API between topological spaces and uniform spaces. In this PR I mostly deduplicate it with some exceptions:

• SeparationQuotient.lift' and SeparationQuotient.map are leftovers from the old version that are designed to work with uniform spaces;
• probably, some theorems/instances still assume UniformSpace when TopologicalSpace would work.

Outside of UniformSpace/Separation, I mostly changed SeparatedSpace to T0Space and separationRel to Inseparable. I also rewrote a few proofs that were broken by the API change.

Fixes #2031

@@ -317,7 +317,7 @@ of an endomorphism `f : E →ₗ E` to an endomorphism `f' : ↥V →ₗ ↥V`.
 `f' : ↥U →ₛₗ ↥V` of a compact operator `f : E →ₛₗ F` is compact, apply
 `IsCompactOperator.codRestrict` to `f ∘ U.subtypeL`, which is compact by
 `IsCompactOperator.comp_clm`. -/
-theorem IsCompactOperator.restrict' [SeparatedSpace M₂] {f : M₂ →ₗ[R₂] M₂}
+theorem IsCompactOperator.restrict' [T0Space M₂] {f : M₂ →ₗ[R₂] M₂}
     (hf : IsCompactOperator f) {V : Submodule R₂ M₂} (hV : ∀ v ∈ V, f v ∈ V)
     [hcomplete : CompleteSpace V] : IsCompactOperator (f.restrict hV) :=
   hf.restrict hV (completeSpace_coe_iff_isComplete.mp hcomplete).isClosed

Main API changes

• Define R1Space, a.k.a. preregular space.
• Drop T2OrLocallyCompactRegularSpace.
• Generalize all existing theorems about T2OrLocallyCompactRegularSpace to R1Space.
• Drop the [T2OrLocallyCompactRegularSpace _] assumption if the space is known to be regular for other reason (e.g., because it's a topological group).

New theorems

• Specializes.not_disjoint: if x ⤳ y, then 𝓝 x and 𝓝 y aren't disjoint;
• specializes_iff_not_disjoint, Specializes.inseparable, disjoint_nhds_nhds_iff_not_inseparable, r1Space_iff_inseparable_or_disjoint_nhds: basic API about R1Spaces;
• Inducing.r1Space, R1Space.induced, R1Space.sInf, R1Space.iInf, R1Space.inf, instances for Subtype _, X × Y, and ∀ i, X i: basic instances for R1Space;
• IsCompact.mem_closure_iff_exists_inseparable, IsCompact.closure_eq_biUnion_inseparable: characterizations of the closure of a compact set in a preregular space;
• Inseparable.mem_measurableSet_iff: topologically inseparable points can't be separated by a Borel measurable set;
• IsCompact.closure_subset_measurableSet, IsCompact.measure_closure: in a preregular space, a measurable superset of a compact set includes its closure as well; as a corollary, closure K has the same measure as K.
• exists_mem_nhds_isCompact_mapsTo_of_isCompact_mem_nhds: an auxiliary lemma extracted from a LocallyCompactPair instance;
• IsCompact.isCompact_isClosed_basis_nhds: if x admits a compact neighborhood, then it admits a basis of compact closed neighborhoods; in particular, a weakly locally compact preregular space is a locally compact regular space;
• isCompact_isClosed_basis_nhds: a version of the previous theorem for weakly locally compact spaces;
• exists_mem_nhds_isCompact_isClosed: in a locally compact regular space, each point admits a compact closed neighborhood.

Deprecated theorems

Some theorems about topological groups are true for any (pre)regular space, so we deprecate the special cases.

• exists_isCompact_isClosed_subset_isCompact_nhds_one: use new IsCompact.isCompact_isClosed_basis_nhds instead;
• instLocallyCompactSpaceOfWeaklyOfGroup, instLocallyCompactSpaceOfWeaklyOfAddGroup: are now implied by WeaklyLocallyCompactSpace.locallyCompactSpace;
• local_isCompact_isClosed_nhds_of_group, local_isCompact_isClosed_nhds_of_addGroup: use isCompact_isClosed_basis_nhds instead;
• exists_isCompact_isClosed_nhds_one, exists_isCompact_isClosed_nhds_zero: use exists_mem_nhds_isCompact_isClosed instead.

Renamed/moved theorems

For each renamed theorem, the old theorem is redefined as a deprecated alias.

• isOpen_setOf_disjoint_nhds_nhds: moved to Constructions;
• isCompact_closure_of_subset_compact -> IsCompact.closure_of_subset;
• IsCompact.measure_eq_infi_isOpen -> IsCompact.measure_eq_iInf_isOpen;
• exists_compact_superset_iff -> exists_isCompact_superset_iff;
• separatedNhds_of_isCompact_isCompact_isClosed -> SeparatedNhds.of_isCompact_isCompact_isClosed;
• separatedNhds_of_isCompact_isCompact -> SeparatedNhds.of_isCompact_isCompact;
• separatedNhds_of_finset_finset -> SeparatedNhds.of_finset_finset;
• point_disjoint_finset_opens_of_t2 -> SeparatedNhds.of_singleton_finset;
• separatedNhds_of_isCompact_isClosed -> SeparatedNhds.of_isCompact_isClosed;
• exists_open_superset_and_isCompact_closure -> exists_isOpen_superset_and_isCompact_closure;
• exists_open_with_compact_closure -> exists_isOpen_mem_isCompact_closure;

@@ -85,7 +85,7 @@ theorem isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image [T2Space M
     IsCompactOperator f ↔ ∃ V ∈ (𝓝 0 : Filter M₁), IsCompact (closure <| f '' V) := by
   rw [isCompactOperator_iff_exists_mem_nhds_image_subset_compact]
   exact
-    ⟨fun ⟨V, hV, K, hK, hKV⟩ => ⟨V, hV, isCompact_closure_of_subset_compact hK hKV⟩,
+    ⟨fun ⟨V, hV, K, hK, hKV⟩ => ⟨V, hV, hK.closure_of_subset hKV⟩,
       fun ⟨V, hV, hVc⟩ => ⟨V, hV, closure (f '' V), hVc, subset_closure⟩⟩
 #align is_compact_operator_iff_exists_mem_nhds_is_compact_closure_image isCompactOperator_iff_exists_mem_nhds_isCompact_closure_image
 
@@ -113,7 +113,7 @@ theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
   let ⟨_, hK, hKf⟩ := hf.image_subset_compact_of_isVonNBounded hS
-  isCompact_closure_of_subset_compact hK hKf
+  hK.closure_of_subset hKf
 set_option linter.uppercaseLean3 false in
 #align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBounded
 

Redefine Absorbs and Absorbent in terms of the cobounded filter.

@@ -101,7 +101,7 @@ theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛ
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
   let ⟨K, hK, hKf⟩ := hf
-  let ⟨r, hr, hrS⟩ := hS hKf
+  let ⟨r, hr, hrS⟩ := (hS hKf).exists_pos
   let ⟨c, hc⟩ := NormedField.exists_lt_norm 𝕜₁ r
   let this := ne_zero_of_norm_ne_zero (hr.trans hc).ne.symm
   ⟨σ₁₂ c • K, hK.image <| continuous_id.const_smul (σ₁₂ c), by
@@ -346,7 +346,7 @@ theorem IsCompactOperator.continuous {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : I
   rcases hf with ⟨K, hK, hKf⟩
   -- But any compact set is totally bounded, hence Von-Neumann bounded. Thus, `K` absorbs `U`.
   -- This gives `r > 0` such that `∀ a : 𝕜₂, r ≤ ‖a‖ → K ⊆ a • U`.
-  rcases hK.totallyBounded.isVonNBounded 𝕜₂ hU with ⟨r, hr, hrU⟩
+  rcases (hK.totallyBounded.isVonNBounded 𝕜₂ hU).exists_pos with ⟨r, hr, hrU⟩
   -- Choose `c : 𝕜₂` with `r < ‖c‖`.
   rcases NormedField.exists_lt_norm 𝕜₁ r with ⟨c, hc⟩
   have hcnz : c ≠ 0 := ne_zero_of_norm_ne_zero (hr.trans hc).ne.symm

Move parts of the proof of "two uniformities are equal" up while generalizing it. Also add a ContinuousConstSMul instance that needs less assumptions than ContinuousSMul.

@@ -434,8 +434,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type*} [Nontrivially
 theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁]
     [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type*} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
-    [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂]
-    [ContinuousSMul 𝕜₂ (M₁ →SL[σ₁₂] M₂)] :
+    [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂] :
     (compactOperator σ₁₂ M₁ M₂).topologicalClosure = compactOperator σ₁₂ M₁ M₂ :=
   SetLike.ext' isClosed_setOf_isCompactOperator.closure_eq
 #align compact_operator_topological_closure compactOperator_topologicalClosure

Use Bornology.IsBounded instead.

@@ -126,17 +126,15 @@ variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [Seminormed
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
-    {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
+    {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Bornology.IsBounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
-  hf.image_subset_compact_of_isVonNBounded
-    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
+  hf.image_subset_compact_of_isVonNBounded <| by rwa [NormedSpace.isVonNBounded_iff]
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
-    (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
-  hf.isCompact_closure_image_of_isVonNBounded
-    (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
+    (hS : Bornology.IsBounded S) : IsCompact (closure <| f '' S) :=
+  hf.isCompact_closure_image_of_isVonNBounded <| by rwa [NormedSpace.isVonNBounded_iff]
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}

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

This has nice performance benefits.

@@ -58,12 +58,12 @@ but we choose a definition which involves fewer existential quantifiers and repl
 with preimages.
 
 We prove the equivalence in `isCompactOperator_iff_exists_mem_nhds_image_subset_compact`. -/
-def IsCompactOperator {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁] [TopologicalSpace M₂]
+def IsCompactOperator {M₁ M₂ : Type*} [Zero M₁] [TopologicalSpace M₁] [TopologicalSpace M₂]
     (f : M₁ → M₂) : Prop :=
   ∃ K, IsCompact K ∧ f ⁻¹' K ∈ (𝓝 0 : Filter M₁)
 #align is_compact_operator IsCompactOperator
 
-theorem isCompactOperator_zero {M₁ M₂ : Type _} [Zero M₁] [TopologicalSpace M₁]
+theorem isCompactOperator_zero {M₁ M₂ : Type*} [Zero M₁] [TopologicalSpace M₁]
     [TopologicalSpace M₂] [Zero M₂] : IsCompactOperator (0 : M₁ → M₂) :=
   ⟨{0}, isCompact_singleton, mem_of_superset univ_mem fun _ _ => rfl⟩
 #align is_compact_operator_zero isCompactOperator_zero
@@ -72,7 +72,7 @@ section Characterizations
 
 section
 
-variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type _}
+variable {R₁ R₂ : Type*} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type*}
   [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂]
 
 theorem isCompactOperator_iff_exists_mem_nhds_image_subset_compact (f : M₁ → M₂) :
@@ -93,8 +93,8 @@ end
 
 section Bounded
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
-  {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
+variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
+  {M₁ M₂ : Type*} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
 theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
@@ -121,8 +121,8 @@ end Bounded
 
 section NormedSpace
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
-  {M₁ M₂ M₃ : Type _} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
+variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [SeminormedRing 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂}
+  {M₁ M₂ M₃ : Type*} [SeminormedAddCommGroup M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂]
 
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
@@ -200,12 +200,12 @@ end Characterizations
 
 section Operations
 
-variable {R₁ R₂ R₃ R₄ : Type _} [Semiring R₁] [Semiring R₂] [CommSemiring R₃] [CommSemiring R₄]
-  {σ₁₂ : R₁ →+* R₂} {σ₁₄ : R₁ →+* R₄} {σ₃₄ : R₃ →+* R₄} {M₁ M₂ M₃ M₄ : Type _} [TopologicalSpace M₁]
+variable {R₁ R₂ R₃ R₄ : Type*} [Semiring R₁] [Semiring R₂] [CommSemiring R₃] [CommSemiring R₄]
+  {σ₁₂ : R₁ →+* R₂} {σ₁₄ : R₁ →+* R₄} {σ₃₄ : R₃ →+* R₄} {M₁ M₂ M₃ M₄ : Type*} [TopologicalSpace M₁]
   [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂] [TopologicalSpace M₃]
   [AddCommGroup M₃] [TopologicalSpace M₄] [AddCommGroup M₄]
 
-theorem IsCompactOperator.smul {S : Type _} [Monoid S] [DistribMulAction S M₂]
+theorem IsCompactOperator.smul {S : Type*} [Monoid S] [DistribMulAction S M₂]
     [ContinuousConstSMul S M₂] {f : M₁ → M₂} (hf : IsCompactOperator f) (c : S) :
     IsCompactOperator (c • f) :=
   let ⟨K, hK, hKf⟩ := hf
@@ -247,8 +247,8 @@ end Operations
 
 section Comp
 
-variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R₃] {σ₁₂ : R₁ →+* R₂}
-  {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type _} [TopologicalSpace M₁] [TopologicalSpace M₂]
+variable {R₁ R₂ R₃ : Type*} [Semiring R₁] [Semiring R₂] [Semiring R₃] {σ₁₂ : R₁ →+* R₂}
+  {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type*} [TopologicalSpace M₁] [TopologicalSpace M₂]
   [TopologicalSpace M₃] [AddCommMonoid M₁] [Module R₁ M₁]
 
 theorem IsCompactOperator.comp_clm [AddCommMonoid M₂] [Module R₂ M₂] {f : M₂ → M₃}
@@ -277,7 +277,7 @@ end Comp
 
 section CodRestrict
 
-variable {R₁ R₂ : Type _} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type _}
+variable {R₁ R₂ : Type*} [Semiring R₁] [Semiring R₂] {σ₁₂ : R₁ →+* R₂} {M₁ M₂ : Type*}
   [TopologicalSpace M₁] [TopologicalSpace M₂] [AddCommMonoid M₁] [AddCommMonoid M₂] [Module R₁ M₁]
   [Module R₂ M₂]
 
@@ -292,8 +292,8 @@ end CodRestrict
 
 section Restrict
 
-variable {R₁ R₂ R₃ : Type _} [Semiring R₁] [Semiring R₂] [Semiring R₃] {σ₁₂ : R₁ →+* R₂}
-  {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type _} [TopologicalSpace M₁] [UniformSpace M₂]
+variable {R₁ R₂ R₃ : Type*} [Semiring R₁] [Semiring R₂] [Semiring R₃] {σ₁₂ : R₁ →+* R₂}
+  {σ₂₃ : R₂ →+* R₃} {M₁ M₂ M₃ : Type*} [TopologicalSpace M₁] [UniformSpace M₂]
   [TopologicalSpace M₃] [AddCommMonoid M₁] [AddCommMonoid M₂] [AddCommMonoid M₃] [Module R₁ M₁]
   [Module R₂ M₂] [Module R₃ M₃]
 
@@ -329,8 +329,8 @@ end Restrict
 
 section Continuous
 
-variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
-  {σ₁₂ : 𝕜₁ →+* 𝕜₂} [RingHomIsometric σ₁₂] {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommGroup M₁]
+variable {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁] [NontriviallyNormedField 𝕜₂]
+  {σ₁₂ : 𝕜₁ →+* 𝕜₂} [RingHomIsometric σ₁₂] {M₁ M₂ : Type*} [TopologicalSpace M₁] [AddCommGroup M₁]
   [TopologicalSpace M₂] [AddCommGroup M₂] [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [TopologicalAddGroup M₁]
   [ContinuousConstSMul 𝕜₁ M₁] [TopologicalAddGroup M₂] [ContinuousSMul 𝕜₂ M₂]
 
@@ -396,8 +396,8 @@ end Continuous
 
 /-- The set of compact operators from a normed space to a complete topological vector space is
 closed. -/
-theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
-    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
+theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁]
+    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type*} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
     [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂] :
     IsClosed { f : M₁ →SL[σ₁₂] M₂ | IsCompactOperator f } := by
@@ -433,8 +433,8 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
   abel
 #align is_closed_set_of_is_compact_operator isClosed_setOf_isCompactOperator
 
-theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
-    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
+theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁]
+    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type*} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
     [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂]
     [ContinuousSMul 𝕜₂ (M₁ →SL[σ₁₂] M₂)] :
@@ -442,8 +442,8 @@ theorem compactOperator_topologicalClosure {𝕜₁ 𝕜₂ : Type _} [Nontrivia
   SetLike.ext' isClosed_setOf_isCompactOperator.closure_eq
 #align compact_operator_topological_closure compactOperator_topologicalClosure
 
-theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁]
-    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type _} [SeminormedAddCommGroup M₁]
+theorem isCompactOperator_of_tendsto {ι 𝕜₁ 𝕜₂ : Type*} [NontriviallyNormedField 𝕜₁]
+    [NormedField 𝕜₂] {σ₁₂ : 𝕜₁ →+* 𝕜₂} {M₁ M₂ : Type*} [SeminormedAddCommGroup M₁]
     [AddCommGroup M₂] [NormedSpace 𝕜₁ M₁] [Module 𝕜₂ M₂] [UniformSpace M₂] [UniformAddGroup M₂]
     [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂] [CompleteSpace M₂] {l : Filter ι} [l.NeBot]
     {F : ι → M₁ →SL[σ₁₂] M₂} {f : M₁ →SL[σ₁₂] M₂} (hf : Tendsto F l (𝓝 f))

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Anatole Dedecker. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
-
-! This file was ported from Lean 3 source module analysis.normed_space.compact_operator
-! leanprover-community/mathlib commit f0c8bf9245297a541f468be517f1bde6195105e9
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Analysis.LocallyConvex.Bounded
 import Mathlib.Topology.Algebra.Module.StrongTopology
 
+#align_import analysis.normed_space.compact_operator from "leanprover-community/mathlib"@"f0c8bf9245297a541f468be517f1bde6195105e9"
+
 /-!
 # Compact operators
 

@@ -45,7 +45,7 @@ coercing from continuous linear maps to linear maps often needs type ascriptions
 
 ## References
 
-* Bourbaki, *Spectral Theory*, chapters 3 to 5, to be published (2022)
+* [N. Bourbaki, *Théories Spectrales*, Chapitre 3][bourbaki2023]
 
 ## Tags
 

Changes are of the form

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

@@ -424,13 +424,13 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
     ⟨T, hT, hTv⟩
   have hTv : v '' closedBall 0 1 ⊆ _ := subset_closure.trans hTv
   refine' ⟨T, hT, _⟩
-  rw [image_subset_iff, preimage_iUnion₂] at hTv⊢
+  rw [image_subset_iff, preimage_iUnion₂] at hTv ⊢
   intro x hx
   specialize hTv hx
-  rw [mem_iUnion₂] at hTv⊢
+  rw [mem_iUnion₂] at hTv ⊢
   rcases hTv with ⟨t, ht, htx⟩
   refine' ⟨t, ht, _⟩
-  rw [mem_preimage, mem_vadd_set_iff_neg_vadd_mem, vadd_eq_add, neg_add_eq_sub] at htx⊢
+  rw [mem_preimage, mem_vadd_set_iff_neg_vadd_mem, vadd_eq_add, neg_add_eq_sub] at htx ⊢
   convert hVU _ htx _ (huv x hx) using 1
   rw [ContinuousLinearMap.sub_apply]
   abel

@@ -53,9 +53,7 @@ Compact operator
 -/
 
 
-open Function Set Filter Bornology Metric
-
-open Pointwise BigOperators Topology
+open Function Set Filter Bornology Metric Pointwise BigOperators Topology
 
 /-- A compact operator between two topological vector spaces. This definition is usually
 given as "there exists a neighborhood of zero whose image is contained in a compact set",
@@ -102,7 +100,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
   {M₁ M₂ : Type _} [TopologicalSpace M₁] [AddCommMonoid M₁] [TopologicalSpace M₂] [AddCommMonoid M₂]
   [Module 𝕜₁ M₁] [Module 𝕜₂ M₂] [ContinuousConstSMul 𝕜₂ M₂]
 
-theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛₗ[σ₁₂] M₂}
+theorem IsCompactOperator.image_subset_compact_of_isVonNBounded {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
   let ⟨K, hK, hKf⟩ := hf
@@ -112,15 +110,15 @@ theorem IsCompactOperator.image_subset_compact_of_vonN_bounded {f : M₁ →ₛ
   ⟨σ₁₂ c • K, hK.image <| continuous_id.const_smul (σ₁₂ c), by
     rw [image_subset_iff, preimage_smul_setₛₗ _ _ _ f this.isUnit]; exact hrS c hc.le⟩
 set_option linter.uppercaseLean3 false in
-#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_vonN_bounded
+#align is_compact_operator.image_subset_compact_of_vonN_bounded IsCompactOperator.image_subset_compact_of_isVonNBounded
 
-theorem IsCompactOperator.isCompact_closure_image_of_vonN_bounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
+theorem IsCompactOperator.isCompact_closure_image_of_isVonNBounded [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) {S : Set M₁} (hS : IsVonNBounded 𝕜₁ S) :
     IsCompact (closure <| f '' S) :=
-  let ⟨_, hK, hKf⟩ := hf.image_subset_compact_of_vonN_bounded hS
+  let ⟨_, hK, hKf⟩ := hf.image_subset_compact_of_isVonNBounded hS
   isCompact_closure_of_subset_compact hK hKf
 set_option linter.uppercaseLean3 false in
-#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_vonN_bounded
+#align is_compact_operator.is_compact_closure_image_of_vonN_bounded IsCompactOperator.isCompact_closure_image_of_isVonNBounded
 
 end Bounded
 
@@ -133,38 +131,38 @@ variable {𝕜₁ 𝕜₂ : Type _} [NontriviallyNormedField 𝕜₁] [Seminorme
 theorem IsCompactOperator.image_subset_compact_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁} (hS : Metric.Bounded S) :
     ∃ K : Set M₂, IsCompact K ∧ f '' S ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded
+  hf.image_subset_compact_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.image_subset_compact_of_bounded IsCompactOperator.image_subset_compact_of_bounded
 
 theorem IsCompactOperator.isCompact_closure_image_of_bounded [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) {S : Set M₁}
     (hS : Metric.Bounded S) : IsCompact (closure <| f '' S) :=
-  hf.isCompact_closure_image_of_vonN_bounded
+  hf.isCompact_closure_image_of_isVonNBounded
     (by rwa [NormedSpace.isVonNBounded_iff, ← Metric.bounded_iff_isBounded])
 #align is_compact_operator.is_compact_closure_image_of_bounded IsCompactOperator.isCompact_closure_image_of_bounded
 
 theorem IsCompactOperator.image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂] {f : M₁ →ₛₗ[σ₁₂] M₂}
     (hf : IsCompactOperator f) (r : ℝ) : ∃ K : Set M₂, IsCompact K ∧ f '' Metric.ball 0 r ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
+  hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.image_ball_subset_compact IsCompactOperator.image_ball_subset_compact
 
 theorem IsCompactOperator.image_closedBall_subset_compact [ContinuousConstSMul 𝕜₂ M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     ∃ K : Set M₂, IsCompact K ∧ f '' Metric.closedBall 0 r ⊆ K :=
-  hf.image_subset_compact_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
+  hf.image_subset_compact_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.image_closed_ball_subset_compact IsCompactOperator.image_closedBall_subset_compact
 
 theorem IsCompactOperator.isCompact_closure_image_ball [ContinuousConstSMul 𝕜₂ M₂] [T2Space M₂]
     {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.ball 0 r) :=
-  hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
+  hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_ball 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_ball IsCompactOperator.isCompact_closure_image_ball
 
 theorem IsCompactOperator.isCompact_closure_image_closedBall [ContinuousConstSMul 𝕜₂ M₂]
     [T2Space M₂] {f : M₁ →ₛₗ[σ₁₂] M₂} (hf : IsCompactOperator f) (r : ℝ) :
     IsCompact (closure <| f '' Metric.closedBall 0 r) :=
-  hf.isCompact_closure_image_of_vonN_bounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
+  hf.isCompact_closure_image_of_isVonNBounded (NormedSpace.isVonNBounded_closedBall 𝕜₁ M₁ r)
 #align is_compact_operator.is_compact_closure_image_closed_ball IsCompactOperator.isCompact_closure_image_closedBall
 
 theorem isCompactOperator_iff_image_ball_subset_compact [ContinuousConstSMul 𝕜₂ M₂]

As discussed on Zulip

Renames

• supₛ → sSup
• infₛ → sInf
• supᵢ → iSup
• infᵢ → iInf
• bsupₛ → bsSup
• binfₛ → bsInf
• bsupᵢ → biSup
• binfᵢ → biInf
• csupₛ → csSup
• cinfₛ → csInf
• csupᵢ → ciSup
• cinfᵢ → ciInf
• unionₛ → sUnion
• interₛ → sInter
• unionᵢ → iUnion
• interᵢ → iInter
• bunionₛ → bsUnion
• binterₛ → bsInter
• bunionᵢ → biUnion
• binterᵢ → biInter

Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>

@@ -413,7 +413,7 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
     change IsCompactOperator (u : M₁ →ₛₗ[σ₁₂] M₂)
     rw [isCompactOperator_iff_isCompact_closure_image_closedBall (u : M₁ →ₛₗ[σ₁₂] M₂) zero_lt_one]
     exact isCompact_of_totallyBounded_isClosed this.closure isClosed_closure
-  rw [totallyBounded_iff_subset_finite_unionᵢ_nhds_zero]
+  rw [totallyBounded_iff_subset_finite_iUnion_nhds_zero]
   intro U hU
   rcases exists_nhds_zero_half hU with ⟨V, hV, hVU⟩
   let SV : Set M₁ × Set M₂ := ⟨closedBall 0 1, -V⟩
@@ -421,15 +421,15 @@ theorem isClosed_setOf_isCompactOperator {𝕜₁ 𝕜₂ : Type _} [Nontriviall
       (ContinuousLinearMap.hasBasis_nhds_zero.mem_of_mem
         ⟨NormedSpace.isVonNBounded_closedBall _ _ _, neg_mem_nhds_zero M₂ hV⟩) with
     ⟨v, hv, huv⟩
-  rcases totallyBounded_iff_subset_finite_unionᵢ_nhds_zero.mp
+  rcases totallyBounded_iff_subset_finite_iUnion_nhds_zero.mp
       (hv.isCompact_closure_image_closedBall 1).totallyBounded V hV with
     ⟨T, hT, hTv⟩
   have hTv : v '' closedBall 0 1 ⊆ _ := subset_closure.trans hTv
   refine' ⟨T, hT, _⟩
-  rw [image_subset_iff, preimage_unionᵢ₂] at hTv⊢
+  rw [image_subset_iff, preimage_iUnion₂] at hTv⊢
   intro x hx
   specialize hTv hx
-  rw [mem_unionᵢ₂] at hTv⊢
+  rw [mem_iUnion₂] at hTv⊢
   rcases hTv with ⟨t, ht, htx⟩
   refine' ⟨t, ht, _⟩
   rw [mem_preimage, mem_vadd_set_iff_neg_vadd_mem, vadd_eq_add, neg_add_eq_sub] at htx⊢