topology.algebra.module.strong_topology

(last sync)

feat(topology/algebra/module/strong_topology): golf arrow_congrSL introduced in #19107 (#19128)

I added more general definitions precomp and postcomp for expressing that (pre/post)-composing by a fixed continuous linear maps is continuous. These were planned about a year ago when I defined the strong topology and follow from uniform_on_fun.precomp_uniform_continuous and uniform_on_fun.postcomp_uniform_continuous.

The proof of continuity of arrow_congrSL is a direct consequence of these, so we don't have to do it by hand.

This is not really a "golf" since I added more lines than I removed, but these more general constructions will be needed at some point anyway (my use case was distribution theory) so I'm doing some proactive golfing :smile:.

Diff

@@ -175,9 +175,12 @@ end general
 
 section bounded_sets
 
-variables {𝕜₁ 𝕜₂ : Type*} [normed_field 𝕜₁] [normed_field 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E E' F F' : Type*}
+variables {𝕜₁ 𝕜₂ 𝕜₃ : Type*} [normed_field 𝕜₁] [normed_field 𝕜₂] [normed_field 𝕜₃]
+  {σ : 𝕜₁ →+* 𝕜₂} {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [ring_hom_comp_triple σ τ ρ]
+  {E E' F F' G : Type*}
   [add_comm_group E] [module 𝕜₁ E] [add_comm_group E'] [module ℝ E']
   [add_comm_group F] [module 𝕜₂ F] [add_comm_group F'] [module ℝ F']
+  [add_comm_group G] [module 𝕜₃ G]
   [topological_space E]
 
 /-- The topology of bounded convergence on `E →L[𝕜] F`. This coincides with the topology induced by
@@ -224,6 +227,49 @@ protected lemma has_basis_nhds_zero [topological_space F]
     (λ SV, {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2}) :=
 continuous_linear_map.has_basis_nhds_zero_of_basis (𝓝 0).basis_sets
 
+variables (G) [topological_space F] [topological_space G]
+
+/-- Pre-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps] def precomp [topological_add_group G] [has_continuous_const_smul 𝕜₃ G]
+  [ring_hom_surjective σ] [ring_hom_isometric σ] (L : E →SL[σ] F) :
+  (F →SL[τ] G) →L[𝕜₃] (E →SL[ρ] G) :=
+{ to_fun := λ f, f.comp L,
+  map_add' := λ f g, add_comp f g L,
+  map_smul' := λ a f, smul_comp a f L,
+  cont :=
+  begin
+    letI : uniform_space G := topological_add_group.to_uniform_space G,
+    haveI : uniform_add_group G := topological_add_comm_group_is_uniform,
+    rw (strong_topology.embedding_coe_fn _ _ _).continuous_iff,
+    refine (uniform_on_fun.precomp_uniform_continuous _).continuous.comp
+      (strong_topology.embedding_coe_fn _ _ _).continuous,
+    exact λ S hS, hS.image L,
+  end }
+
+variables (E) {G}
+
+/-- Post-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps] def postcomp [topological_add_group F] [topological_add_group G]
+  [has_continuous_const_smul 𝕜₃ G] [has_continuous_const_smul 𝕜₂ F] (L : F →SL[τ] G) :
+  (E →SL[σ] F) →SL[τ] (E →SL[ρ] G) :=
+{ to_fun := λ f, L.comp f,
+  map_add' := comp_add L,
+  map_smul' := comp_smulₛₗ L,
+  cont :=
+  begin
+    letI : uniform_space G := topological_add_group.to_uniform_space G,
+    haveI : uniform_add_group G := topological_add_comm_group_is_uniform,
+    letI : uniform_space F := topological_add_group.to_uniform_space F,
+    haveI : uniform_add_group F := topological_add_comm_group_is_uniform,
+    rw (strong_topology.embedding_coe_fn _ _ _).continuous_iff,
+    exact (uniform_on_fun.postcomp_uniform_continuous L.uniform_continuous).continuous.comp
+      (strong_topology.embedding_coe_fn _ _ _).continuous
+  end }
+
 end bounded_sets
 
 end continuous_linear_map
@@ -249,49 +295,29 @@ variables {𝕜 : Type*} {𝕜₂ : Type*} {𝕜₃ : Type*} {𝕜₄ : Type*}
     [ring_hom_inv_pair σ₄₃ σ₃₄]
   [ring_hom_comp_triple σ₂₁ σ₁₄ σ₂₄] [ring_hom_comp_triple σ₂₄ σ₄₃ σ₂₃]
     [ring_hom_comp_triple σ₁₂ σ₂₃ σ₁₃] [ring_hom_comp_triple σ₁₃ σ₃₄ σ₁₄]
+    [ring_hom_comp_triple σ₂₃ σ₃₄ σ₂₄] [ring_hom_comp_triple σ₁₂ σ₂₄ σ₁₄]
+  [ring_hom_isometric σ₁₂] [ring_hom_isometric σ₂₁]
 
 include σ₁₄ σ₂₄ σ₁₃ σ₃₄ σ₂₁ σ₂₃
 
 /-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
 spaces of continuous (semi)linear maps. -/
-@[simps] def arrow_congrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
-  (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] (F →SL[σ₂₃] G) :=
+@[simps] def arrow_congrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+  (E →SL[σ₁₄] H) ≃SL[σ₄₃] (F →SL[σ₂₃] G) :=
 { -- given explicitly to help `simps`
   to_fun := λ L, (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E)),
   -- given explicitly to help `simps`
   inv_fun := λ L, (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F)),
   map_add' := λ f g, by rw [add_comp, comp_add],
   map_smul' := λ t f, by rw [smul_comp, comp_smulₛₗ],
+  continuous_to_fun :=
+    ((postcomp F e₄₃.to_continuous_linear_map).comp
+      (precomp H e₁₂.symm.to_continuous_linear_map)).continuous,
+  continuous_inv_fun :=
+    ((precomp H e₁₂.to_continuous_linear_map).comp
+      (postcomp F e₄₃.symm.to_continuous_linear_map)).continuous,
   .. e₁₂.arrow_congr_equiv e₄₃, }
 
-variables [ring_hom_isometric σ₂₁]
-
-lemma arrow_congrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
-  continuous (id (e₁₂.arrow_congrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] (F →SL[σ₂₃] G))) :=
-begin
-  apply continuous_of_continuous_at_zero,
-  show filter.tendsto _ _ _,
-  simp_rw [(e₁₂.arrow_congrₛₗ e₄₃).map_zero],
-  rw continuous_linear_map.has_basis_nhds_zero.tendsto_iff
-    continuous_linear_map.has_basis_nhds_zero,
-  rintros ⟨sF, sG⟩ ⟨h1 : bornology.is_vonN_bounded 𝕜₂ sF, h2 : sG ∈ nhds (0:G)⟩,
-  dsimp,
-  refine ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩,
-    λ _ h _ hx, h _ (set.mem_image_of_mem _ hx)⟩,
-  apply e₄₃.continuous.continuous_at,
-  simpa using h2,
-end
-
-variables [ring_hom_isometric σ₁₂]
-
-/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
-between the spaces of continuous (semi)linear maps. -/
-@[simps] def arrow_congrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
-  (E →SL[σ₁₄] H) ≃SL[σ₄₃] (F →SL[σ₂₃] G) :=
-{ continuous_to_fun := e₁₂.arrow_congrₛₗ_continuous e₄₃,
-  continuous_inv_fun := e₁₂.symm.arrow_congrₛₗ_continuous e₄₃.symm,
-  .. e₁₂.arrow_congrₛₗ e₄₃, }
-
 end semilinear
 
 section linear

refactor(topology/vector_bundle/hom): fibres of hom-bundle carry strong topology (#19107)

Currently, the "hom-bundle" between two vector bundles E₁ and E₂ has fibre over x which is a type synonym of E₁ x →SL[σ] E₂ x, but which carries a topology produced by the hom-bundle construction (using the identification by trivializations withe the model fibre F₁ →SL[σ] F₂). This was needed when this bundle was made (#14541) because at that time, F₁ →SL[σ] F₂ (continuous linear maps between normed spaces) carried a topology in mathlib but E₁ x →SL[σ] E₂ x (continuous linear maps between topological vector spaces) did not.

As of #16053, continuous linear maps between topological vector spaces do carry a topology, the strong topology. So we can kill the old topology on the type synonym and just use the default one, which should avoid annoying issues later.

A few minor changes are needed to make this go through:

we revert #14377: the question is whether the "vector prebundle" construction, whose canonical use is for the hom-bundle, should or should not require a topology on the fibres. Now that in applications it could happen either way (fibres do or don't come with a topology), it will be more convenient to assume that they do carry a topology, and put the "artificial" topology on the fibres if they happen to not.
some assumptions need to change from [add_comm_monoid] to [add_comm_group], this is mathematically harmless since they are also modules over a field.
generalize the construction continuous_linear_equiv.arrow_congrSL from normed spaces to topological vector spaces

Co-authored-by: Moritz Doll <moritz.doll@googlemail.com> Co-authored-by: Floris van Doorn <fpvdoorn@gmail.com>

Diff

@@ -227,3 +227,86 @@ continuous_linear_map.has_basis_nhds_zero_of_basis (𝓝 0).basis_sets
 end bounded_sets
 
 end continuous_linear_map
+
+open continuous_linear_map
+
+namespace continuous_linear_equiv
+
+section semilinear
+
+variables {𝕜 : Type*} {𝕜₂ : Type*} {𝕜₃ : Type*} {𝕜₄ : Type*}
+  {E : Type*} {F : Type*} {G : Type*} {H : Type*}
+  [add_comm_group E] [add_comm_group F] [add_comm_group G] [add_comm_group H]
+  [nontrivially_normed_field 𝕜] [nontrivially_normed_field 𝕜₂] [nontrivially_normed_field 𝕜₃]
+    [nontrivially_normed_field 𝕜₄]
+  [module 𝕜 E] [module 𝕜₂ F] [module 𝕜₃ G] [module 𝕜₄ H]
+  [topological_space E] [topological_space F] [topological_space G] [topological_space H]
+  [topological_add_group G] [topological_add_group H]
+  [has_continuous_const_smul 𝕜₃ G] [has_continuous_const_smul 𝕜₄ H]
+  {σ₁₂ : 𝕜 →+* 𝕜₂} {σ₂₁ : 𝕜₂ →+* 𝕜} {σ₂₃ : 𝕜₂ →+* 𝕜₃} {σ₁₃ : 𝕜 →+* 𝕜₃} {σ₃₄ : 𝕜₃ →+* 𝕜₄}
+    {σ₄₃ : 𝕜₄ →+* 𝕜₃} {σ₂₄ : 𝕜₂ →+* 𝕜₄} {σ₁₄ : 𝕜 →+* 𝕜₄}
+  [ring_hom_inv_pair σ₁₂ σ₂₁] [ring_hom_inv_pair σ₂₁ σ₁₂] [ring_hom_inv_pair σ₃₄ σ₄₃]
+    [ring_hom_inv_pair σ₄₃ σ₃₄]
+  [ring_hom_comp_triple σ₂₁ σ₁₄ σ₂₄] [ring_hom_comp_triple σ₂₄ σ₄₃ σ₂₃]
+    [ring_hom_comp_triple σ₁₂ σ₂₃ σ₁₃] [ring_hom_comp_triple σ₁₃ σ₃₄ σ₁₄]
+
+include σ₁₄ σ₂₄ σ₁₃ σ₃₄ σ₂₁ σ₂₃
+
+/-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
+spaces of continuous (semi)linear maps. -/
+@[simps] def arrow_congrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+  (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] (F →SL[σ₂₃] G) :=
+{ -- given explicitly to help `simps`
+  to_fun := λ L, (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E)),
+  -- given explicitly to help `simps`
+  inv_fun := λ L, (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F)),
+  map_add' := λ f g, by rw [add_comp, comp_add],
+  map_smul' := λ t f, by rw [smul_comp, comp_smulₛₗ],
+  .. e₁₂.arrow_congr_equiv e₄₃, }
+
+variables [ring_hom_isometric σ₂₁]
+
+lemma arrow_congrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+  continuous (id (e₁₂.arrow_congrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] (F →SL[σ₂₃] G))) :=
+begin
+  apply continuous_of_continuous_at_zero,
+  show filter.tendsto _ _ _,
+  simp_rw [(e₁₂.arrow_congrₛₗ e₄₃).map_zero],
+  rw continuous_linear_map.has_basis_nhds_zero.tendsto_iff
+    continuous_linear_map.has_basis_nhds_zero,
+  rintros ⟨sF, sG⟩ ⟨h1 : bornology.is_vonN_bounded 𝕜₂ sF, h2 : sG ∈ nhds (0:G)⟩,
+  dsimp,
+  refine ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩,
+    λ _ h _ hx, h _ (set.mem_image_of_mem _ hx)⟩,
+  apply e₄₃.continuous.continuous_at,
+  simpa using h2,
+end
+
+variables [ring_hom_isometric σ₁₂]
+
+/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
+between the spaces of continuous (semi)linear maps. -/
+@[simps] def arrow_congrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+  (E →SL[σ₁₄] H) ≃SL[σ₄₃] (F →SL[σ₂₃] G) :=
+{ continuous_to_fun := e₁₂.arrow_congrₛₗ_continuous e₄₃,
+  continuous_inv_fun := e₁₂.symm.arrow_congrₛₗ_continuous e₄₃.symm,
+  .. e₁₂.arrow_congrₛₗ e₄₃, }
+
+end semilinear
+
+section linear
+variables {𝕜 : Type*} {E : Type*} {F : Type*} {G : Type*} {H : Type*}
+  [add_comm_group E] [add_comm_group F] [add_comm_group G] [add_comm_group H]
+  [nontrivially_normed_field 𝕜] [module 𝕜 E] [module 𝕜 F] [module 𝕜 G] [module 𝕜 H]
+  [topological_space E] [topological_space F] [topological_space G] [topological_space H]
+  [topological_add_group G] [topological_add_group H]
+  [has_continuous_const_smul 𝕜 G] [has_continuous_const_smul 𝕜 H]
+
+/-- A pair of continuous linear equivalences generates an continuous linear equivalence between
+the spaces of continuous linear maps. -/
+def arrow_congr (e₁ : E ≃L[𝕜] F) (e₂ : H ≃L[𝕜] G) : (E →L[𝕜] H) ≃L[𝕜] (F →L[𝕜] G) :=
+e₁.arrow_congrSL e₂
+
+end linear
+
+end continuous_linear_equiv

(first ported)

Changes in mathlib3port

mathlib3

mathlib3port

bump to nightly-2024-04-09-08

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

659ec6f7

Diff

@@ -69,96 +69,97 @@ variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂]
   [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
   [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E] [TopologicalSpace E'] (F)
 
-#print ContinuousLinearMap.strongTopology /-
+#print UniformConvergenceCLM.instTopologicalSpace /-
 /-- Given `E` and `F` two topological vector spaces and `𝔖 : set (set E)`, then
 `strong_topology σ F 𝔖` is the "topology of uniform convergence on the elements of `𝔖`" on
 `E →L[𝕜] F`.
 
 If the continuous linear image of any element of `𝔖` is bounded, this makes `E →L[𝕜] F` a
 topological vector space. -/
-def strongTopology [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
+def instTopologicalSpace [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
     TopologicalSpace (E →SL[σ] F) :=
   (@UniformOnFun.topologicalSpace E F (TopologicalAddGroup.toUniformSpace F) 𝔖).induced coeFn
-#align continuous_linear_map.strong_topology ContinuousLinearMap.strongTopology
+#align continuous_linear_map.strong_topology UniformConvergenceCLM.instTopologicalSpace
 -/
 
-#print ContinuousLinearMap.strongUniformity /-
+#print UniformConvergenceCLM.instUniformSpace /-
 /-- The uniform structure associated with `continuous_linear_map.strong_topology`. We make sure
 that this has nice definitional properties. -/
-def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+def instUniformSpace [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     UniformSpace (E →SL[σ] F) :=
-  @UniformSpace.replaceTopology _ (strongTopology σ F 𝔖)
+  @UniformSpace.replaceTopology _ (instTopologicalSpace σ F 𝔖)
     ((UniformOnFun.uniformSpace E F 𝔖).comap coeFn)
     (by rw [strong_topology, UniformAddGroup.toUniformSpace_eq] <;> rfl)
-#align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
+#align continuous_linear_map.strong_uniformity UniformConvergenceCLM.instUniformSpace
 -/
 
-#print ContinuousLinearMap.strongUniformity_topology_eq /-
+#print UniformConvergenceCLM.uniformity_toTopologicalSpace_eq /-
 @[simp]
-theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    (strongUniformity σ F 𝔖).toTopologicalSpace = strongTopology σ F 𝔖 :=
+theorem uniformity_toTopologicalSpace_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    (instUniformSpace σ F 𝔖).toTopologicalSpace = instTopologicalSpace σ F 𝔖 :=
   rfl
-#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
+#align continuous_linear_map.strong_uniformity_topology_eq UniformConvergenceCLM.uniformity_toTopologicalSpace_eq
 -/
 
-#print ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn /-
-theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
+#print UniformConvergenceCLM.uniformEmbedding_coeFn /-
+theorem UniformConvergenceCLM.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
-    @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
+    @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (instUniformSpace σ F 𝔖)
       (UniformOnFun.uniformSpace E F 𝔖) coeFn :=
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   ⟨⟨rfl⟩, DFunLike.coe_injective⟩
-#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
+#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn UniformConvergenceCLM.uniformEmbedding_coeFn
 -/
 
-#print ContinuousLinearMap.strongTopology.embedding_coeFn /-
-theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
-      (UniformOnFun.ofFun 𝔖 ∘ coeFn) :=
-  @UniformEmbedding.embedding _ _ (id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
-#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
+#print UniformConvergenceCLM.embedding_coeFn /-
+theorem UniformConvergenceCLM.embedding_coeFn [UniformSpace F] [UniformAddGroup F]
+    (𝔖 : Set (Set E)) :
+    @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (instTopologicalSpace σ F 𝔖)
+      (UniformOnFun.topologicalSpace E F 𝔖) (UniformOnFun.ofFun 𝔖 ∘ coeFn) :=
+  @UniformEmbedding.embedding _ _ (id _) _ _ (UniformConvergenceCLM.uniformEmbedding_coeFn _ _ _)
+#align continuous_linear_map.strong_topology.embedding_coe_fn UniformConvergenceCLM.embedding_coeFn
 -/
 
-#print ContinuousLinearMap.strongUniformity.uniformAddGroup /-
-theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
+#print UniformConvergenceCLM.instUniformAddGroup /-
+theorem UniformConvergenceCLM.instUniformAddGroup [UniformSpace F] [UniformAddGroup F]
+    (𝔖 : Set (Set E)) : @UniformAddGroup (E →SL[σ] F) (instUniformSpace σ F 𝔖) _ :=
   by
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   rw [strong_uniformity, UniformSpace.replaceTopology_eq]
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F := ⟨(coeFn : (E →SL[σ] F) → E →ᵤ F), rfl, fun _ _ => rfl⟩
   exact UniformAddGroup.comap φ
-#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
+#align continuous_linear_map.strong_uniformity.uniform_add_group UniformConvergenceCLM.instUniformAddGroup
 -/
 
-#print ContinuousLinearMap.strongTopology.topologicalAddGroup /-
-theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
-    (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
+#print UniformConvergenceCLM.instTopologicalAddGroup /-
+theorem UniformConvergenceCLM.instTopologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
+    (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (instTopologicalSpace σ F 𝔖) _ :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   haveI : UniformAddGroup (E →SL[σ] F) := strong_uniformity.uniform_add_group σ F 𝔖
   infer_instance
-#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
+#align continuous_linear_map.strong_topology.topological_add_group UniformConvergenceCLM.instTopologicalAddGroup
 -/
 
-#print ContinuousLinearMap.strongTopology.t2Space /-
-theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
-    (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
+#print UniformConvergenceCLM.t2Space /-
+theorem UniformConvergenceCLM.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
+    (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (instTopologicalSpace σ F 𝔖) :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : TopologicalSpace (E →SL[σ] F) := strong_topology σ F 𝔖
   haveI : T2Space (E →ᵤ[𝔖] F) := UniformOnFun.t2Space_of_covering h𝔖
   exact (strong_topology.embedding_coe_fn σ F 𝔖).T2Space
-#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
+#align continuous_linear_map.strong_topology.t2_space UniformConvergenceCLM.t2Space
 -/
 
-#print ContinuousLinearMap.strongTopology.continuousSMul /-
-theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
+#print UniformConvergenceCLM.continuousSMul /-
+theorem UniformConvergenceCLM.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
-    @ContinuousSMul 𝕜₂ (E →SL[σ] F) _ _ (strongTopology σ F 𝔖) :=
+    @ContinuousSMul 𝕜₂ (E →SL[σ] F) _ _ (instTopologicalSpace σ F 𝔖) :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
@@ -168,31 +169,33 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
   exact
     UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) h𝔖₁ h𝔖₂ φ ⟨rfl⟩
       fun u s hs => (h𝔖₃ s hs).image u
-#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
+#align continuous_linear_map.strong_topology.has_continuous_smul UniformConvergenceCLM.continuousSMul
 -/
 
-#print ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis /-
-theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
-    {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
-    {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
-    (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis (fun Si : Set E × ι => Si.1 ∈ 𝔖 ∧ p Si.2)
-      fun Si => {f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2} :=
+#print UniformConvergenceCLM.hasBasis_nhds_zero_of_basis /-
+theorem UniformConvergenceCLM.hasBasis_nhds_zero_of_basis [TopologicalSpace F]
+    [TopologicalAddGroup F] {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty)
+    (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop} {b : ι → Set F}
+    (h : (𝓝 0 : Filter F).HasBasis p b) :
+    (@nhds (E →SL[σ] F) (instTopologicalSpace σ F 𝔖) 0).HasBasis
+      (fun Si : Set E × ι => Si.1 ∈ 𝔖 ∧ p Si.2) fun Si =>
+      {f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2} :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   rw [nhds_induced]
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap coeFn
-#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
+#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis UniformConvergenceCLM.hasBasis_nhds_zero_of_basis
 -/
 
-#print ContinuousLinearMap.strongTopology.hasBasis_nhds_zero /-
-theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
+#print UniformConvergenceCLM.hasBasis_nhds_zero /-
+theorem UniformConvergenceCLM.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
-    (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
+    (@nhds (E →SL[σ] F) (instTopologicalSpace σ F 𝔖) 0).HasBasis
       (fun SV : Set E × Set F => SV.1 ∈ 𝔖 ∧ SV.2 ∈ (𝓝 0 : Filter F)) fun SV =>
       {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2} :=
-  strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
-#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
+  UniformConvergenceCLM.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
+#align continuous_linear_map.strong_topology.has_basis_nhds_zero UniformConvergenceCLM.hasBasis_nhds_zero
 -/
 
 end General
@@ -207,26 +210,26 @@ variable {𝕜₁ 𝕜₂ 𝕜₃ : Type _} [NormedField 𝕜₁] [NormedField 
 /-- The topology of bounded convergence on `E →L[𝕜] F`. This coincides with the topology induced by
 the operator norm when `E` and `F` are normed spaces. -/
 instance [TopologicalSpace F] [TopologicalAddGroup F] : TopologicalSpace (E →SL[σ] F) :=
-  strongTopology σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
+  instTopologicalSpace σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
 
 instance [TopologicalSpace F] [TopologicalAddGroup F] : TopologicalAddGroup (E →SL[σ] F) :=
-  strongTopology.topologicalAddGroup σ F _
+  UniformConvergenceCLM.instTopologicalAddGroup σ F _
 
 instance [RingHomSurjective σ] [RingHomIsometric σ] [TopologicalSpace F] [TopologicalAddGroup F]
     [ContinuousSMul 𝕜₂ F] : ContinuousSMul 𝕜₂ (E →SL[σ] F) :=
-  strongTopology.continuousSMul σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
+  UniformConvergenceCLM.continuousSMul σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) fun s hs => hs
 
 instance [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
-  strongUniformity σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
+  instUniformSpace σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
 
 instance [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
-  strongUniformity.uniformAddGroup σ F _
+  UniformConvergenceCLM.instUniformAddGroup σ F _
 
 instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E] [T2Space F] :
     T2Space (E →SL[σ] F) :=
-  strongTopology.t2Space σ F _
+  UniformConvergenceCLM.t2Space σ F _
     (Set.eq_univ_of_forall fun x =>
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
@@ -235,7 +238,7 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
       fun Si => {f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2} :=
-  strongTopology.hasBasis_nhds_zero_of_basis σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
+  UniformConvergenceCLM.hasBasis_nhds_zero_of_basis σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis

bump to nightly-2024-01-19-06

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

33b57512

Diff

@@ -107,7 +107,7 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
       (UniformOnFun.uniformSpace E F 𝔖) coeFn :=
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
-  ⟨⟨rfl⟩, FunLike.coe_injective⟩
+  ⟨⟨rfl⟩, DFunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 -/

bump to nightly-2023-12-06-06

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

d09917f6

Diff

@@ -126,7 +126,7 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   rw [strong_uniformity, UniformSpace.replaceTopology_eq]
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F := ⟨(coeFn : (E →SL[σ] F) → E →ᵤ F), rfl, fun _ _ => rfl⟩
-  exact uniformAddGroup_comap φ
+  exact UniformAddGroup.comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 -/

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ 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.Topology.Algebra.UniformConvergence
+import Topology.Algebra.UniformConvergence
 
 #align_import topology.algebra.module.strong_topology from "leanprover-community/mathlib"@"8905e5ed90859939681a725b00f6063e65096d95"

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Algebra.UniformConvergence
 
+#align_import topology.algebra.module.strong_topology from "leanprover-community/mathlib"@"8905e5ed90859939681a725b00f6063e65096d95"
+
 /-!
 # Strong topologies on the space of continuous linear maps

bump to nightly-2023-07-10-19

mathlib commit https://github.com/leanprover-community/mathlib/commit/1a51edf13debfcbe223fa06b1cb353b9ed9751cc

36365740

Diff

@@ -255,6 +255,7 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
 
 variable (G) [TopologicalSpace F] [TopologicalSpace G]
 
+#print ContinuousLinearMap.precomp /-
 /-- Pre-composition by a *fixed* continuous linear map as a continuous linear map.
 Note that in non-normed space it is not always true that composition is continuous
 in both variables, so we have to fix one of them. -/
@@ -274,9 +275,11 @@ def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurj
         (strong_topology.embedding_coe_fn _ _ _).Continuous
     exact fun S hS => hS.image L
 #align continuous_linear_map.precomp ContinuousLinearMap.precomp
+-/
 
 variable (E) {G}
 
+#print ContinuousLinearMap.postcomp /-
 /-- Post-composition by a *fixed* continuous linear map as a continuous linear map.
 Note that in non-normed space it is not always true that composition is continuous
 in both variables, so we have to fix one of them. -/
@@ -297,6 +300,7 @@ def postcomp [TopologicalAddGroup F] [TopologicalAddGroup G] [ContinuousConstSMu
       (UniformOnFun.postcomp_uniformContinuous L.uniform_continuous).Continuous.comp
         (strong_topology.embedding_coe_fn _ _ _).Continuous
 #align continuous_linear_map.postcomp ContinuousLinearMap.postcomp
+-/
 
 end BoundedSets

bump to nightly-2023-07-07-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/8905e5ed90859939681a725b00f6063e65096d95

22e0aaad

Diff

@@ -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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
+! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -202,9 +202,10 @@ end General
 
 section BoundedSets
 
-variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E E' F F' : Type _}
-  [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
-  [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E]
+variable {𝕜₁ 𝕜₂ 𝕜₃ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] [NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂}
+  {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [RingHomCompTriple σ τ ρ] {E E' F F' G : Type _} [AddCommGroup E]
+  [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F] [AddCommGroup F']
+  [Module ℝ F'] [AddCommGroup G] [Module 𝕜₃ G] [TopologicalSpace E]
 
 /-- The topology of bounded convergence on `E →L[𝕜] F`. This coincides with the topology induced by
 the operator norm when `E` and `F` are normed spaces. -/
@@ -252,6 +253,51 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
 -/
 
+variable (G) [TopologicalSpace F] [TopologicalSpace G]
+
+/-- Pre-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps]
+def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurjective σ]
+    [RingHomIsometric σ] (L : E →SL[σ] F) : (F →SL[τ] G) →L[𝕜₃] E →SL[ρ] G
+    where
+  toFun f := f.comp L
+  map_add' f g := add_comp f g L
+  map_smul' a f := smul_comp a f L
+  cont := by
+    letI : UniformSpace G := TopologicalAddGroup.toUniformSpace G
+    haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
+    rw [(strong_topology.embedding_coe_fn _ _ _).continuous_iff]
+    refine'
+      (UniformOnFun.precomp_uniformContinuous _).Continuous.comp
+        (strong_topology.embedding_coe_fn _ _ _).Continuous
+    exact fun S hS => hS.image L
+#align continuous_linear_map.precomp ContinuousLinearMap.precomp
+
+variable (E) {G}
+
+/-- Post-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps]
+def postcomp [TopologicalAddGroup F] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G]
+    [ContinuousConstSMul 𝕜₂ F] (L : F →SL[τ] G) : (E →SL[σ] F) →SL[τ] E →SL[ρ] G
+    where
+  toFun f := L.comp f
+  map_add' := comp_add L
+  map_smul' := comp_smulₛₗ L
+  cont := by
+    letI : UniformSpace G := TopologicalAddGroup.toUniformSpace G
+    haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
+    letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
+    haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
+    rw [(strong_topology.embedding_coe_fn _ _ _).continuous_iff]
+    exact
+      (UniformOnFun.postcomp_uniformContinuous L.uniform_continuous).Continuous.comp
+        (strong_topology.embedding_coe_fn _ _ _).Continuous
+#align continuous_linear_map.postcomp ContinuousLinearMap.postcomp
+
 end BoundedSets
 
 end ContinuousLinearMap
@@ -272,13 +318,14 @@ variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _
   {σ₃₄ : 𝕜₃ →+* 𝕜₄} {σ₄₃ : 𝕜₄ →+* 𝕜₃} {σ₂₄ : 𝕜₂ →+* 𝕜₄} {σ₁₄ : 𝕜 →+* 𝕜₄} [RingHomInvPair σ₁₂ σ₂₁]
   [RingHomInvPair σ₂₁ σ₁₂] [RingHomInvPair σ₃₄ σ₄₃] [RingHomInvPair σ₄₃ σ₃₄]
   [RingHomCompTriple σ₂₁ σ₁₄ σ₂₄] [RingHomCompTriple σ₂₄ σ₄₃ σ₂₃] [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
-  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄]
+  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄] [RingHomCompTriple σ₂₃ σ₃₄ σ₂₄] [RingHomCompTriple σ₁₂ σ₂₄ σ₁₄]
+  [RingHomIsometric σ₁₂] [RingHomIsometric σ₂₁]
 
-#print ContinuousLinearEquiv.arrowCongrₛₗ /-
+#print ContinuousLinearEquiv.arrowCongrSL /-
 /-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
 spaces of continuous (semi)linear maps. -/
 @[simps]
-def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G :=
+def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
   {-- given explicitly to help `simps`
         -- given explicitly to help `simps`
         e₁₂.arrowCongrEquiv
@@ -286,42 +333,13 @@ def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃
     toFun := fun L => (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E))
     invFun := fun L => (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F))
     map_add' := fun f g => by rw [add_comp, comp_add]
-    map_smul' := fun t f => by rw [smul_comp, comp_smulₛₗ] }
-#align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
--/
-
-variable [RingHomIsometric σ₂₁]
-
-#print ContinuousLinearEquiv.arrowCongrₛₗ_continuous /-
-theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
-    Continuous (id (e₁₂.arrowCongrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G)) :=
-  by
-  apply continuous_of_continuousAt_zero
-  show Filter.Tendsto _ _ _
-  simp_rw [(e₁₂.arrow_congrₛₗ e₄₃).map_zero]
-  rw [continuous_linear_map.has_basis_nhds_zero.tendsto_iff ContinuousLinearMap.hasBasis_nhds_zero]
-  rintro ⟨sF, sG⟩ ⟨h1 : Bornology.IsVonNBounded 𝕜₂ sF, h2 : sG ∈ nhds (0 : G)⟩
-  dsimp
-  refine'
-    ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩, fun _ h _ hx =>
-      h _ (Set.mem_image_of_mem _ hx)⟩
-  apply e₄₃.continuous.continuous_at
-  simpa using h2
-#align continuous_linear_equiv.arrow_congrₛₗ_continuous ContinuousLinearEquiv.arrowCongrₛₗ_continuous
--/
-
-variable [RingHomIsometric σ₁₂]
-
-#print ContinuousLinearEquiv.arrowCongrSL /-
-/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
-between the spaces of continuous (semi)linear maps. -/
-@[simps]
-def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
-  {
-    e₁₂.arrowCongrₛₗ
-      e₄₃ with
-    continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
-    continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
+    map_smul' := fun t f => by rw [smul_comp, comp_smulₛₗ]
+    continuous_toFun :=
+      ((postcomp F e₄₃.toContinuousLinearMap).comp
+          (precomp H e₁₂.symm.toContinuousLinearMap)).Continuous
+    continuous_invFun :=
+      ((precomp H e₁₂.toContinuousLinearMap).comp
+          (postcomp F e₄₃.symm.toContinuousLinearMap)).Continuous }
 #align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
 -/

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -96,12 +96,15 @@ def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
 #align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
 -/
 
+#print ContinuousLinearMap.strongUniformity_topology_eq /-
 @[simp]
 theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     (strongUniformity σ F 𝔖).toTopologicalSpace = strongTopology σ F 𝔖 :=
   rfl
 #align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
+-/
 
+#print ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn /-
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
@@ -109,13 +112,17 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   ⟨⟨rfl⟩, FunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
+-/
 
+#print ContinuousLinearMap.strongTopology.embedding_coeFn /-
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
       (UniformOnFun.ofFun 𝔖 ∘ coeFn) :=
   @UniformEmbedding.embedding _ _ (id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
+-/
 
+#print ContinuousLinearMap.strongUniformity.uniformAddGroup /-
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
   by
@@ -124,7 +131,9 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F := ⟨(coeFn : (E →SL[σ] F) → E →ᵤ F), rfl, fun _ _ => rfl⟩
   exact uniformAddGroup_comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
+-/
 
+#print ContinuousLinearMap.strongTopology.topologicalAddGroup /-
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
   by
@@ -134,7 +143,9 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
   haveI : UniformAddGroup (E →SL[σ] F) := strong_uniformity.uniform_add_group σ F 𝔖
   infer_instance
 #align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
+-/
 
+#print ContinuousLinearMap.strongTopology.t2Space /-
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
   by
@@ -144,7 +155,9 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
   haveI : T2Space (E →ᵤ[𝔖] F) := UniformOnFun.t2Space_of_covering h𝔖
   exact (strong_topology.embedding_coe_fn σ F 𝔖).T2Space
 #align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
+-/
 
+#print ContinuousLinearMap.strongTopology.continuousSMul /-
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
@@ -159,7 +172,9 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
     UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) h𝔖₁ h𝔖₂ φ ⟨rfl⟩
       fun u s hs => (h𝔖₃ s hs).image u
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
+-/
 
+#print ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis /-
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -171,7 +186,9 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
   rw [nhds_induced]
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap coeFn
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
+-/
 
+#print ContinuousLinearMap.strongTopology.hasBasis_nhds_zero /-
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
@@ -179,6 +196,7 @@ theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGr
       {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2} :=
   strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
+-/
 
 end General
 
@@ -214,6 +232,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     (Set.eq_univ_of_forall fun x =>
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
+#print ContinuousLinearMap.hasBasis_nhds_zero_of_basis /-
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
@@ -222,13 +241,16 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
+-/
 
+#print ContinuousLinearMap.hasBasis_nhds_zero /-
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis
       (fun SV : Set E × Set F => Bornology.IsVonNBounded 𝕜₁ SV.1 ∧ SV.2 ∈ (𝓝 0 : Filter F))
       fun SV => {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2} :=
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
+-/
 
 end BoundedSets
 
@@ -252,8 +274,6 @@ variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _
   [RingHomCompTriple σ₂₁ σ₁₄ σ₂₄] [RingHomCompTriple σ₂₄ σ₄₃ σ₂₃] [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
   [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄]
 
-include σ₁₄ σ₂₄ σ₁₃ σ₃₄ σ₂₁ σ₂₃
-
 #print ContinuousLinearEquiv.arrowCongrₛₗ /-
 /-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
 spaces of continuous (semi)linear maps. -/
@@ -272,6 +292,7 @@ def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃
 
 variable [RingHomIsometric σ₂₁]
 
+#print ContinuousLinearEquiv.arrowCongrₛₗ_continuous /-
 theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
     Continuous (id (e₁₂.arrowCongrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G)) :=
   by
@@ -287,6 +308,7 @@ theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H
   apply e₄₃.continuous.continuous_at
   simpa using h2
 #align continuous_linear_equiv.arrow_congrₛₗ_continuous ContinuousLinearEquiv.arrowCongrₛₗ_continuous
+-/
 
 variable [RingHomIsometric σ₁₂]

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -164,7 +164,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis (fun Si : Set E × ι => Si.1 ∈ 𝔖 ∧ p Si.2)
-      fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } :=
+      fun Si => {f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2} :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
@@ -176,7 +176,7 @@ theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGr
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
       (fun SV : Set E × Set F => SV.1 ∈ 𝔖 ∧ SV.2 ∈ (𝓝 0 : Filter F)) fun SV =>
-      { f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2 } :=
+      {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2} :=
   strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
 
@@ -191,19 +191,19 @@ variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂]
 /-- The topology of bounded convergence on `E →L[𝕜] F`. This coincides with the topology induced by
 the operator norm when `E` and `F` are normed spaces. -/
 instance [TopologicalSpace F] [TopologicalAddGroup F] : TopologicalSpace (E →SL[σ] F) :=
-  strongTopology σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  strongTopology σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
 
 instance [TopologicalSpace F] [TopologicalAddGroup F] : TopologicalAddGroup (E →SL[σ] F) :=
   strongTopology.topologicalAddGroup σ F _
 
 instance [RingHomSurjective σ] [RingHomIsometric σ] [TopologicalSpace F] [TopologicalAddGroup F]
     [ContinuousSMul 𝕜₂ F] : ContinuousSMul 𝕜₂ (E →SL[σ] F) :=
-  strongTopology.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  strongTopology.continuousSMul σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) fun s hs => hs
 
 instance [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
-  strongUniformity σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  strongUniformity σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
 
 instance [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
   strongUniformity.uniformAddGroup σ F _
@@ -217,8 +217,8 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
-      fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } :=
-  strongTopology.hasBasis_nhds_zero_of_basis σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+      fun Si => {f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2} :=
+  strongTopology.hasBasis_nhds_zero_of_basis σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
@@ -226,7 +226,7 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis
       (fun SV : Set E × Set F => Bornology.IsVonNBounded 𝕜₁ SV.1 ∧ SV.2 ∈ (𝓝 0 : Filter F))
-      fun SV => { f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2 } :=
+      fun SV => {f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2} :=
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero

bump to nightly-2023-06-01-04

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

4d9eaa85

Diff

@@ -254,6 +254,7 @@ variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _
 
 include σ₁₄ σ₂₄ σ₁₃ σ₃₄ σ₂₁ σ₂₃
 
+#print ContinuousLinearEquiv.arrowCongrₛₗ /-
 /-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
 spaces of continuous (semi)linear maps. -/
 @[simps]
@@ -267,6 +268,7 @@ def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃
     map_add' := fun f g => by rw [add_comp, comp_add]
     map_smul' := fun t f => by rw [smul_comp, comp_smulₛₗ] }
 #align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
+-/
 
 variable [RingHomIsometric σ₂₁]
 
@@ -288,6 +290,7 @@ theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H
 
 variable [RingHomIsometric σ₁₂]
 
+#print ContinuousLinearEquiv.arrowCongrSL /-
 /-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
 between the spaces of continuous (semi)linear maps. -/
 @[simps]
@@ -298,6 +301,7 @@ def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G)
     continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
     continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
 #align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
+-/
 
 end Semilinear
 
@@ -309,11 +313,13 @@ variable {𝕜 : Type _} {E : Type _} {F : Type _} {G : Type _} {H : Type _} [Ad
   [TopologicalSpace G] [TopologicalSpace H] [TopologicalAddGroup G] [TopologicalAddGroup H]
   [ContinuousConstSMul 𝕜 G] [ContinuousConstSMul 𝕜 H]
 
+#print ContinuousLinearEquiv.arrowCongr /-
 /-- A pair of continuous linear equivalences generates an continuous linear equivalence between
 the spaces of continuous linear maps. -/
 def arrowCongr (e₁ : E ≃L[𝕜] F) (e₂ : H ≃L[𝕜] G) : (E →L[𝕜] H) ≃L[𝕜] F →L[𝕜] G :=
   e₁.arrowCongrSL e₂
 #align continuous_linear_equiv.arrow_congr ContinuousLinearEquiv.arrowCongr
+-/
 
 end Linear

bump to nightly-2023-05-29-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/88a563b158f59f2983cfad685664da95502e8cdd

d0f5dd0a

Diff

@@ -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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
+! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -234,3 +234,88 @@ end BoundedSets
 
 end ContinuousLinearMap
 
+open ContinuousLinearMap
+
+namespace ContinuousLinearEquiv
+
+section Semilinear
+
+variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _} {E : Type _} {F : Type _}
+  {G : Type _} {H : Type _} [AddCommGroup E] [AddCommGroup F] [AddCommGroup G] [AddCommGroup H]
+  [NontriviallyNormedField 𝕜] [NontriviallyNormedField 𝕜₂] [NontriviallyNormedField 𝕜₃]
+  [NontriviallyNormedField 𝕜₄] [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜₃ G] [Module 𝕜₄ H]
+  [TopologicalSpace E] [TopologicalSpace F] [TopologicalSpace G] [TopologicalSpace H]
+  [TopologicalAddGroup G] [TopologicalAddGroup H] [ContinuousConstSMul 𝕜₃ G]
+  [ContinuousConstSMul 𝕜₄ H] {σ₁₂ : 𝕜 →+* 𝕜₂} {σ₂₁ : 𝕜₂ →+* 𝕜} {σ₂₃ : 𝕜₂ →+* 𝕜₃} {σ₁₃ : 𝕜 →+* 𝕜₃}
+  {σ₃₄ : 𝕜₃ →+* 𝕜₄} {σ₄₃ : 𝕜₄ →+* 𝕜₃} {σ₂₄ : 𝕜₂ →+* 𝕜₄} {σ₁₄ : 𝕜 →+* 𝕜₄} [RingHomInvPair σ₁₂ σ₂₁]
+  [RingHomInvPair σ₂₁ σ₁₂] [RingHomInvPair σ₃₄ σ₄₃] [RingHomInvPair σ₄₃ σ₃₄]
+  [RingHomCompTriple σ₂₁ σ₁₄ σ₂₄] [RingHomCompTriple σ₂₄ σ₄₃ σ₂₃] [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
+  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄]
+
+include σ₁₄ σ₂₄ σ₁₃ σ₃₄ σ₂₁ σ₂₃
+
+/-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
+spaces of continuous (semi)linear maps. -/
+@[simps]
+def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G :=
+  {-- given explicitly to help `simps`
+        -- given explicitly to help `simps`
+        e₁₂.arrowCongrEquiv
+      e₄₃ with
+    toFun := fun L => (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E))
+    invFun := fun L => (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F))
+    map_add' := fun f g => by rw [add_comp, comp_add]
+    map_smul' := fun t f => by rw [smul_comp, comp_smulₛₗ] }
+#align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
+
+variable [RingHomIsometric σ₂₁]
+
+theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+    Continuous (id (e₁₂.arrowCongrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G)) :=
+  by
+  apply continuous_of_continuousAt_zero
+  show Filter.Tendsto _ _ _
+  simp_rw [(e₁₂.arrow_congrₛₗ e₄₃).map_zero]
+  rw [continuous_linear_map.has_basis_nhds_zero.tendsto_iff ContinuousLinearMap.hasBasis_nhds_zero]
+  rintro ⟨sF, sG⟩ ⟨h1 : Bornology.IsVonNBounded 𝕜₂ sF, h2 : sG ∈ nhds (0 : G)⟩
+  dsimp
+  refine'
+    ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩, fun _ h _ hx =>
+      h _ (Set.mem_image_of_mem _ hx)⟩
+  apply e₄₃.continuous.continuous_at
+  simpa using h2
+#align continuous_linear_equiv.arrow_congrₛₗ_continuous ContinuousLinearEquiv.arrowCongrₛₗ_continuous
+
+variable [RingHomIsometric σ₁₂]
+
+/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
+between the spaces of continuous (semi)linear maps. -/
+@[simps]
+def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
+  {
+    e₁₂.arrowCongrₛₗ
+      e₄₃ with
+    continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
+    continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
+#align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
+
+end Semilinear
+
+section Linear
+
+variable {𝕜 : Type _} {E : Type _} {F : Type _} {G : Type _} {H : Type _} [AddCommGroup E]
+  [AddCommGroup F] [AddCommGroup G] [AddCommGroup H] [NontriviallyNormedField 𝕜] [Module 𝕜 E]
+  [Module 𝕜 F] [Module 𝕜 G] [Module 𝕜 H] [TopologicalSpace E] [TopologicalSpace F]
+  [TopologicalSpace G] [TopologicalSpace H] [TopologicalAddGroup G] [TopologicalAddGroup H]
+  [ContinuousConstSMul 𝕜 G] [ContinuousConstSMul 𝕜 H]
+
+/-- A pair of continuous linear equivalences generates an continuous linear equivalence between
+the spaces of continuous linear maps. -/
+def arrowCongr (e₁ : E ≃L[𝕜] F) (e₂ : H ≃L[𝕜] G) : (E →L[𝕜] H) ≃L[𝕜] F →L[𝕜] G :=
+  e₁.arrowCongrSL e₂
+#align continuous_linear_equiv.arrow_congr ContinuousLinearEquiv.arrowCongr
+
+end Linear
+
+end ContinuousLinearEquiv
+

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -62,7 +62,7 @@ uniform convergence, bounded convergence
 -/
 
 
-open Topology UniformConvergence
+open scoped Topology UniformConvergence
 
 namespace ContinuousLinearMap

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -96,18 +96,12 @@ def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
 #align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
 -/
 
-/- warning: continuous_linear_map.strong_uniformity_topology_eq -> ContinuousLinearMap.strongUniformity_topology_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eqₓ'. -/
 @[simp]
 theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     (strongUniformity σ F 𝔖).toTopologicalSpace = strongTopology σ F 𝔖 :=
   rfl
 #align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
 
-/- warning: continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn -> ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFnₓ'. -/
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
@@ -116,18 +110,12 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
   ⟨⟨rfl⟩, FunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 
-/- warning: continuous_linear_map.strong_topology.embedding_coe_fn -> ContinuousLinearMap.strongTopology.embedding_coeFn is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFnₓ'. -/
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
       (UniformOnFun.ofFun 𝔖 ∘ coeFn) :=
   @UniformEmbedding.embedding _ _ (id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
 
-/- warning: continuous_linear_map.strong_uniformity.uniform_add_group -> ContinuousLinearMap.strongUniformity.uniformAddGroup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroupₓ'. -/
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
   by
@@ -137,9 +125,6 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   exact uniformAddGroup_comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
-/- warning: continuous_linear_map.strong_topology.topological_add_group -> ContinuousLinearMap.strongTopology.topologicalAddGroup is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroupₓ'. -/
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
   by
@@ -150,9 +135,6 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
   infer_instance
 #align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
 
-/- warning: continuous_linear_map.strong_topology.t2_space -> ContinuousLinearMap.strongTopology.t2Space is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Spaceₓ'. -/
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
   by
@@ -163,9 +145,6 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
   exact (strong_topology.embedding_coe_fn σ F 𝔖).T2Space
 #align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
 
-/- warning: continuous_linear_map.strong_topology.has_continuous_smul -> ContinuousLinearMap.strongTopology.continuousSMul is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMulₓ'. -/
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
@@ -181,9 +160,6 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
       fun u s hs => (h𝔖₃ s hs).image u
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
-/- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basisₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -196,9 +172,6 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap coeFn
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
 
-/- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zeroₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
@@ -241,9 +214,6 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     (Set.eq_univ_of_forall fun x =>
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
-/- warning: continuous_linear_map.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.hasBasis_nhds_zero_of_basis is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basisₓ'. -/
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
@@ -253,9 +223,6 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
 
-/- warning: continuous_linear_map.has_basis_nhds_zero -> ContinuousLinearMap.hasBasis_nhds_zero is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zeroₓ'. -/
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis
       (fun SV : Set E × Set F => Bornology.IsVonNBounded 𝕜₁ SV.1 ∧ SV.2 ∈ (𝓝 0 : Filter F))

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -97,10 +97,7 @@ def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
 -/
 
 /- warning: continuous_linear_map.strong_uniformity_topology_eq -> ContinuousLinearMap.strongUniformity_topology_eq is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eqₓ'. -/
 @[simp]
 theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
@@ -109,10 +106,7 @@ theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖
 #align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
 
 /- warning: continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn -> ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn is a dubious translation:
-lean 3 declaration is
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFnₓ'. -/
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
@@ -123,10 +117,7 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 
 /- warning: continuous_linear_map.strong_topology.embedding_coe_fn -> ContinuousLinearMap.strongTopology.embedding_coeFn is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFnₓ'. -/
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
@@ -135,10 +126,7 @@ theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroupₓ'. -/
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
@@ -150,10 +138,7 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
 /- warning: continuous_linear_map.strong_topology.topological_add_group -> ContinuousLinearMap.strongTopology.topologicalAddGroup is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroupₓ'. -/
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
@@ -166,10 +151,7 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
 #align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
 
 /- warning: continuous_linear_map.strong_topology.t2_space -> ContinuousLinearMap.strongTopology.t2Space is a dubious translation:
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-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.sUnion.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
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-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.sUnion.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Spaceₓ'. -/
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
@@ -182,10 +164,7 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
 #align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
 
 /- warning: continuous_linear_map.strong_topology.has_continuous_smul -> ContinuousLinearMap.strongTopology.continuousSMul is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : RingHomSurjective.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (NormedField.toHasNorm.{u1} 𝕜₁ _inst_1) (NormedField.toHasNorm.{u2} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u4} F] [_inst_16 : TopologicalAddGroup.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_17 : ContinuousSMul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall (S : Set.{u3} E), (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 S)) -> (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)) (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 _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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u2, u4} 𝕜₂ F (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)))))) (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.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
-but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : 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 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1367 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1369 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1367 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1369) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMulₓ'. -/
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
@@ -203,10 +182,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
 /- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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(AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1659 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1661 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1659 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1661) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F 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(AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basisₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
@@ -221,10 +197,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
 
 /- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ 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(NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1962 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1964 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1962 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1964) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zeroₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
@@ -269,10 +242,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
 /- warning: continuous_linear_map.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.hasBasis_nhds_zero_of_basis is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 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u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))))))
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-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u5}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u5} F] [_inst_13 : TopologicalAddGroup.{u5} F _inst_12 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_12 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basisₓ'. -/
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -284,10 +254,7 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
 
 /- warning: continuous_linear_map.has_basis_nhds_zero -> ContinuousLinearMap.hasBasis_nhds_zero is a dubious translation:
-lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ 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_inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
-but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ 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(SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ 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_inst_12 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zeroₓ'. -/
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis

bump to nightly-2023-05-19-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4

a31df521

Diff

@@ -126,7 +126,7 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (coeFn.{max 1 (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (fun (_x : Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) => (E -> F) -> (UniformOnFun.{u3, u4} E F 𝔖)) (Equiv.hasCoeToFun.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (ᾰ : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (FunLike.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u4) (succ u3)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (E -> F) (fun (_x : E -> F) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : E -> F) => UniformOnFun.{u3, u4} E F 𝔖) _x) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (FunLike.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u4) (succ u3)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (E -> F) (fun (_x : E -> F) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.812 : E -> F) => UniformOnFun.{u3, u4} E F 𝔖) _x) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFnₓ'. -/
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)

bump to nightly-2023-05-16-14

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

b356e20f

Diff

@@ -185,7 +185,7 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : RingHomSurjective.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (NormedField.toHasNorm.{u1} 𝕜₁ _inst_1) (NormedField.toHasNorm.{u2} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u4} F] [_inst_16 : TopologicalAddGroup.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_17 : ContinuousSMul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall (S : Set.{u3} E), (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 S)) -> (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)) (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 _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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u2, u4} 𝕜₂ F (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)))))) (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.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : 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 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : 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 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1367 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1369 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1367 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1369) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMulₓ'. -/
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
@@ -206,7 +206,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u5} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si)))))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u5}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u5 u3} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u5}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1659 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1661 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1659 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1661) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u5 u3} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basisₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
@@ -224,7 +224,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.Mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (Filter.hasMem.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1962 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1964 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1962 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1964) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zeroₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :

bump to nightly-2023-05-14-08

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

d31da313

Diff

@@ -167,9 +167,9 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
 
 /- warning: continuous_linear_map.strong_topology.t2_space -> ContinuousLinearMap.strongTopology.t2Space is a dubious translation:
 lean 3 declaration is
-  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.sUnion.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.sUnion.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Spaceₓ'. -/
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
@@ -266,7 +266,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     T2Space (E →SL[σ] F) :=
   strongTopology.t2Space σ F _
     (Set.eq_univ_of_forall fun x =>
-      Set.mem_unionₛ_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
+      Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
 /- warning: continuous_linear_map.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.hasBasis_nhds_zero_of_basis is a dubious translation:
 lean 3 declaration is

bump to nightly-2023-05-08-22

mathlib commit https://github.com/leanprover-community/mathlib/commit/08e1d8d4d989df3a6df86f385e9053ec8a372cc1

63e712c6

Diff

@@ -100,7 +100,7 @@ def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Eq.{succ (max u3 u4)} (TopologicalSpace.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)) (UniformSpace.toTopologicalSpace.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖)) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖)
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Eq.{max (succ u3) (succ u4)} (TopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)) (UniformSpace.toTopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖)) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖)
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Eq.{max (succ u3) (succ u4)} (TopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)) (UniformSpace.toTopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖)) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖)
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eqₓ'. -/
 @[simp]
 theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
@@ -112,7 +112,7 @@ theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformEmbedding.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (UniformOnFun.uniformSpace.{u3, u4} E F _inst_13 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (ᾰ : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformEmbedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (UniformOnFun.uniformSpace.{u3, u4} E F _inst_13 𝔖) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformEmbedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (UniformOnFun.uniformSpace.{u3, u4} E F _inst_13 𝔖) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFnₓ'. -/
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
@@ -126,7 +126,7 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (coeFn.{max 1 (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (fun (_x : Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) => (E -> F) -> (UniformOnFun.{u3, u4} E F 𝔖)) (Equiv.hasCoeToFun.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (ᾰ : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (FunLike.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u4) (succ u3)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (E -> F) (fun (_x : E -> F) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : E -> F) => UniformOnFun.{u3, u4} E F 𝔖) _x) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (FunLike.coe.{max (succ u3) (succ u4), max (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u4) (succ u3)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (E -> F) (fun (_x : E -> F) => (fun (x._@.Mathlib.Logic.Equiv.Defs._hyg.808 : E -> F) => UniformOnFun.{u3, u4} E F 𝔖) _x) (Equiv.instFunLikeEquiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFnₓ'. -/
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
@@ -138,7 +138,7 @@ theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformAddGroup.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) _inst_7 _inst_4 _inst_8 σ (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14)))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) _inst_7 _inst_4 _inst_8 σ (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14)))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) _inst_7 _inst_4 _inst_8 σ (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14)))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroupₓ'. -/
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
@@ -153,7 +153,7 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), TopologicalAddGroup.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F _inst_13 _inst_7 _inst_4 _inst_8 σ _inst_14))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), TopologicalAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F _inst_13 _inst_7 _inst_4 _inst_8 σ _inst_14))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), TopologicalAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F _inst_13 _inst_7 _inst_4 _inst_8 σ _inst_14))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroupₓ'. -/
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
@@ -169,7 +169,7 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Spaceₓ'. -/
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
@@ -185,7 +185,7 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : RingHomSurjective.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (NormedField.toHasNorm.{u1} 𝕜₁ _inst_1) (NormedField.toHasNorm.{u2} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u4} F] [_inst_16 : TopologicalAddGroup.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_17 : ContinuousSMul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall (S : Set.{u3} E), (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 S)) -> (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)) (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 _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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u2, u4} 𝕜₂ F (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)))))) (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.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
 but is expected to have type
-  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₁ (Ring.toNonAssocRing.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 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)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : 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 _inst_1))))) (Semiring.toNonAssocSemiring.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMulₓ'. -/
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
@@ -206,7 +206,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u5} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si)))))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u5}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u5 u3} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u5}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u5 u3} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basisₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
@@ -224,7 +224,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.Mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (Filter.hasMem.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zeroₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
@@ -272,7 +272,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u5}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u5} F] [_inst_13 : TopologicalAddGroup.{u5} F _inst_12 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_12 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u5}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u5} F] [_inst_13 : TopologicalAddGroup.{u5} F _inst_12 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_12 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basisₓ'. -/
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -287,7 +287,7 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
 lean 3 declaration is
   forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) (Membership.Mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (Filter.hasMem.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
 but is expected to have type
-  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (Semiring.toNonAssocSemiring.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (Semiring.toNonAssocSemiring.{u1} 𝕜₂ (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
 Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zeroₓ'. -/
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis

bump to nightly-2023-04-30-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/86d04064ca33ee3d3405fbfc497d494fd2dd4796

648ff713

Diff

@@ -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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit b8627dbac120a9ad6267a75575ae1e070d5bff5b
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Topology.Algebra.UniformConvergence
 /-!
 # Strong topologies on the space of continuous linear maps
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 In this file, we define the strong topologies on `E →L[𝕜] F` associated with a family
 `𝔖 : set (set E)` to be the topology of uniform convergence on the elements of `𝔖` (also called
 the topology of `𝔖`-convergence).

bump to nightly-2023-04-28-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/fa78268d4d77cb2b2fbc89f0527e2e7807763780

473bb540

Diff

@@ -69,6 +69,7 @@ variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂]
   [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
   [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E] [TopologicalSpace E'] (F)
 
+#print ContinuousLinearMap.strongTopology /-
 /-- Given `E` and `F` two topological vector spaces and `𝔖 : set (set E)`, then
 `strong_topology σ F 𝔖` is the "topology of uniform convergence on the elements of `𝔖`" on
 `E →L[𝕜] F`.
@@ -79,7 +80,9 @@ def strongTopology [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set
     TopologicalSpace (E →SL[σ] F) :=
   (@UniformOnFun.topologicalSpace E F (TopologicalAddGroup.toUniformSpace F) 𝔖).induced coeFn
 #align continuous_linear_map.strong_topology ContinuousLinearMap.strongTopology
+-/
 
+#print ContinuousLinearMap.strongUniformity /-
 /-- The uniform structure associated with `continuous_linear_map.strong_topology`. We make sure
 that this has nice definitional properties. -/
 def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
@@ -88,13 +91,26 @@ def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     ((UniformOnFun.uniformSpace E F 𝔖).comap coeFn)
     (by rw [strong_topology, UniformAddGroup.toUniformSpace_eq] <;> rfl)
 #align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
+-/
 
+/- warning: continuous_linear_map.strong_uniformity_topology_eq -> ContinuousLinearMap.strongUniformity_topology_eq is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Eq.{succ (max u3 u4)} (TopologicalSpace.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)) (UniformSpace.toTopologicalSpace.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖)) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖)
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Eq.{max (succ u3) (succ u4)} (TopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)) (UniformSpace.toTopologicalSpace.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖)) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖)
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eqₓ'. -/
 @[simp]
 theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     (strongUniformity σ F 𝔖).toTopologicalSpace = strongTopology σ F 𝔖 :=
   rfl
 #align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
 
+/- warning: continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn -> ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformEmbedding.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (UniformOnFun.uniformSpace.{u3, u4} E F _inst_13 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (ᾰ : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformEmbedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (UniformOnFun.uniformSpace.{u3, u4} E F _inst_13 𝔖) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (ᾰ : E) => F) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFnₓ'. -/
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
@@ -103,12 +119,24 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
   ⟨⟨rfl⟩, FunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 
+/- warning: continuous_linear_map.strong_topology.embedding_coe_fn -> ContinuousLinearMap.strongTopology.embedding_coeFn is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14) 𝔖) (UniformOnFun.topologicalSpace.{u3, u4} E F _inst_13 𝔖) (Function.comp.{max (succ u3) (succ u4), 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (E -> F) (UniformOnFun.{u3, u4} E F 𝔖) (coeFn.{max 1 (succ u3) (succ u4), max (succ u3) (succ u4)} (Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (fun (_x : Equiv.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) => (E -> F) -> (UniformOnFun.{u3, u4} E F 𝔖)) (Equiv.hasCoeToFun.{max (succ u3) (succ u4), max (succ u3) (succ u4)} (E -> F) (UniformOnFun.{u3, u4} E F 𝔖)) (UniformOnFun.ofFun.{u3, u4} E F 𝔖)) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (ᾰ : ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))
+but is expected to have type
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(AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), Embedding.{max u4 u3, max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (UniformOnFun.{u3, u4} E F 𝔖) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 (UniformSpace.toTopologicalSpace.{u4} F _inst_13) 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_inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFnₓ'. -/
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖) (UniformOnFun.topologicalSpace E F 𝔖)
       (UniformOnFun.ofFun 𝔖 ∘ coeFn) :=
   @UniformEmbedding.embedding _ _ (id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
 
+/- warning: continuous_linear_map.strong_uniformity.uniform_add_group -> ContinuousLinearMap.strongUniformity.uniformAddGroup is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformAddGroup.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) _inst_7 _inst_4 _inst_8 σ (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14)))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : UniformSpace.{u4} F] [_inst_14 : UniformAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), UniformAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongUniformity.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F (UniformSpace.toTopologicalSpace.{u4} F _inst_13) _inst_7 _inst_4 _inst_8 σ (UniformAddGroup.to_topologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_14)))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroupₓ'. -/
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
   by
@@ -118,6 +146,12 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   exact uniformAddGroup_comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
+/- warning: continuous_linear_map.strong_topology.topological_add_group -> ContinuousLinearMap.strongTopology.topologicalAddGroup is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), TopologicalAddGroup.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u1, u2, u3, u4} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F _inst_13 _inst_7 _inst_4 _inst_8 σ _inst_14))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), TopologicalAddGroup.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (AddCommGroup.toAddGroup.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.addCommGroup.{u2, u1, u3, u4} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2))) E _inst_11 _inst_3 F _inst_13 _inst_7 _inst_4 _inst_8 σ _inst_14))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroupₓ'. -/
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
   by
@@ -128,6 +162,12 @@ theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddG
   infer_instance
 #align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
 
+/- warning: continuous_linear_map.strong_topology.t2_space -> ContinuousLinearMap.strongTopology.t2Space is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_15 : T2Space.{u4} F _inst_13] (𝔖 : Set.{u3} (Set.{u3} E)), (Eq.{succ u3} (Set.{u3} E) (Set.unionₛ.{u3} E 𝔖) (Set.univ.{u3} E)) -> (T2Space.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Spaceₓ'. -/
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
   by
@@ -138,6 +178,12 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
   exact (strong_topology.embedding_coe_fn σ F 𝔖).T2Space
 #align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
 
+/- warning: continuous_linear_map.strong_topology.has_continuous_smul -> ContinuousLinearMap.strongTopology.continuousSMul is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : RingHomSurjective.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u1, u2} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (NormedField.toHasNorm.{u1} 𝕜₁ _inst_1) (NormedField.toHasNorm.{u2} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u4} F] [_inst_16 : TopologicalAddGroup.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7)] [_inst_17 : ContinuousSMul.{u2, u4} 𝕜₂ F (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall (S : Set.{u3} E), (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 S)) -> (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16))))) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)) (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 _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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u2, u4} 𝕜₂ F (CommRing.toCommMonoid.{u2} 𝕜₂ (SeminormedCommRing.toCommRing.{u2} 𝕜₂ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u2, u4} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toHasSmul.{u2, u4} 𝕜₂ F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (SMulWithZero.toSmulZeroClass.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (MulActionWithZero.toSMulWithZero.{u2, u4} 𝕜₂ F (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} F (AddMonoid.toAddZeroClass.{u4} F (AddCommMonoid.toAddMonoid.{u4} F (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)))) (Module.toMulActionWithZero.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.to_continuousAdd.{u4} F _inst_15 (AddCommGroup.toAddGroup.{u4} F _inst_7) _inst_16)))))) (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.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
+but is expected to have type
+  forall {𝕜₁ : Type.{u4}} {𝕜₂ : Type.{u3}} [_inst_1 : NormedField.{u4} 𝕜₁] [_inst_2 : NormedField.{u3} 𝕜₂] (σ : RingHom.{u4, u3} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u4} 𝕜₁ (Ring.toNonAssocRing.{u4} 𝕜₁ (NormedRing.toRing.{u4} 𝕜₁ (NormedCommRing.toNormedRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 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)))))) {E : Type.{u1}} (F : Type.{u2}) [_inst_3 : AddCommGroup.{u1} E] [_inst_4 : Module.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3)] [_inst_7 : AddCommGroup.{u2} F] [_inst_8 : Module.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7)] [_inst_11 : TopologicalSpace.{u1} E] [_inst_13 : RingHomSurjective.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ] [_inst_14 : RingHomIsometric.{u4, u3} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (NormedField.toNorm.{u4} 𝕜₁ _inst_1) (NormedField.toNorm.{u3} 𝕜₂ _inst_2) σ] [_inst_15 : TopologicalSpace.{u2} F] [_inst_16 : TopologicalAddGroup.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7)] [_inst_17 : ContinuousSMul.{u3, u2} 𝕜₂ F (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (CommMonoidWithZero.toZero.{u3} 𝕜₂ (CommGroupWithZero.toCommMonoidWithZero.{u3} 𝕜₂ (Semifield.toCommGroupWithZero.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _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)))))) _inst_15] (𝔖 : Set.{u1} (Set.{u1} E)), (Set.Nonempty.{u1} (Set.{u1} E) 𝔖) -> (DirectedOn.{u1} (Set.{u1} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 : Set.{u1} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409 : Set.{u1} E) => HasSubset.Subset.{u1} (Set.{u1} E) (Set.instHasSubsetSet.{u1} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1407 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1409) 𝔖) -> (forall (S : Set.{u1} E), (Membership.mem.{u1, u1} (Set.{u1} E) (Set.{u1} (Set.{u1} E)) (Set.instMembershipSet.{u1} (Set.{u1} E)) S 𝔖) -> (Bornology.IsVonNBounded.{u4, u1} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u4} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u4} 𝕜₁ (NormedField.toNormedCommRing.{u4} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u4, u1} 𝕜₁ E (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u4, u1} 𝕜₁ E (CommMonoidWithZero.toZero.{u4} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u4} 𝕜₁ (Semifield.toCommGroupWithZero.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u4, u1} 𝕜₁ E (Semiring.toMonoidWithZero.{u4} 𝕜₁ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) (Module.toMulActionWithZero.{u4, u1} 𝕜₁ E (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u1} E (SubNegZeroMonoid.toNegZeroClass.{u1} E (SubtractionMonoid.toSubNegZeroMonoid.{u1} E (SubtractionCommMonoid.toSubtractionMonoid.{u1} E (AddCommGroup.toDivisionAddCommMonoid.{u1} E _inst_3))))) _inst_11 S)) -> (ContinuousSMul.{u3, max u2 u1} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulZeroClass.toSMul.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (SMulWithZero.toSMulZeroClass.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (MulActionWithZero.toSMulWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (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, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (Module.toMulActionWithZero.{u3, max u1 u2} 𝕜₂ (ContinuousLinearMap.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (ContinuousLinearMap.addCommMonoid.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{u4} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_4 _inst_8 (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)) (ContinuousLinearMap.module.{u4, u3, u3, u1, u2} 𝕜₁ 𝕜₂ 𝕜₂ (DivisionSemiring.toSemiring.{u4} 𝕜₁ (Semifield.toDivisionSemiring.{u4} 𝕜₁ (Field.toSemifield.{u4} 𝕜₁ (NormedField.toField.{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)))) E _inst_11 (AddCommGroup.toAddCommMonoid.{u1} E _inst_3) _inst_4 F _inst_15 (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8 _inst_8 (smulCommClass_self.{u3, u2} 𝕜₂ F (CommRing.toCommMonoid.{u3} 𝕜₂ (EuclideanDomain.toCommRing.{u3} 𝕜₂ (Field.toEuclideanDomain.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (MulActionWithZero.toMulAction.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (NegZeroClass.toZero.{u2} F (SubNegZeroMonoid.toNegZeroClass.{u2} F (SubtractionMonoid.toSubNegZeroMonoid.{u2} F (SubtractionCommMonoid.toSubtractionMonoid.{u2} F (AddCommGroup.toDivisionAddCommMonoid.{u2} F _inst_7))))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8))) (ContinuousSMul.continuousConstSMul.{u3, u2} 𝕜₂ F (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)))))) _inst_15 (SMulZeroClass.toSMul.{u3, u2} 𝕜₂ F (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (SMulWithZero.toSMulZeroClass.{u3, u2} 𝕜₂ F (MonoidWithZero.toZero.{u3} 𝕜₂ (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (MulActionWithZero.toSMulWithZero.{u3, u2} 𝕜₂ F (Semiring.toMonoidWithZero.{u3} 𝕜₂ (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2))))) (AddMonoid.toZero.{u2} F (AddCommMonoid.toAddMonoid.{u2} F (AddCommGroup.toAddCommMonoid.{u2} F _inst_7))) (Module.toMulActionWithZero.{u3, u2} 𝕜₂ F (DivisionSemiring.toSemiring.{u3} 𝕜₂ (Semifield.toDivisionSemiring.{u3} 𝕜₂ (Field.toSemifield.{u3} 𝕜₂ (NormedField.toField.{u3} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u2} F _inst_7) _inst_8)))) _inst_17) σ (TopologicalAddGroup.toContinuousAdd.{u2} F _inst_15 (AddCommGroup.toAddGroup.{u2} F _inst_7) _inst_16)))))) (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.strongTopology.{u4, u3, u1, u2} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_15 _inst_16 𝔖))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMulₓ'. -/
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
@@ -153,6 +199,12 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
       fun u s hs => (h𝔖₃ s hs).image u
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
+/- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u5} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si)))))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u5}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u5} F] [_inst_14 : TopologicalAddGroup.{u5} F _inst_13 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1705 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.1707) 𝔖) -> (forall {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_13 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u5 u3} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) ι Si) 𝔖) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si)))))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basisₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -165,6 +217,12 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap coeFn
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
 
+/- warning: continuous_linear_map.strong_topology.has_basis_nhds_zero -> ContinuousLinearMap.strongTopology.hasBasis_nhds_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] (σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (HasSubset.Subset.{u3} (Set.{u3} E) (Set.hasSubset.{u3} E)) 𝔖) -> (Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.Mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.hasMem.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.Mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (Filter.hasMem.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] (σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))) {E : Type.{u3}} (F : Type.{u4}) [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_13 : TopologicalSpace.{u4} F] [_inst_14 : TopologicalAddGroup.{u4} F _inst_13 (AddCommGroup.toAddGroup.{u4} F _inst_7)] (𝔖 : Set.{u3} (Set.{u3} E)), (Set.Nonempty.{u3} (Set.{u3} E) 𝔖) -> (DirectedOn.{u3} (Set.{u3} E) (fun (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 : Set.{u3} E) (x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016 : Set.{u3} E) => HasSubset.Subset.{u3} (Set.{u3} E) (Set.instHasSubsetSet.{u3} E) x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2014 x._@.Mathlib.Topology.Algebra.Module.StrongTopology._hyg.2016) 𝔖) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u4 u3} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.strongTopology.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_13 _inst_14 𝔖) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Membership.mem.{u3, u3} (Set.{u3} E) (Set.{u3} (Set.{u3} E)) (Set.instMembershipSet.{u3} (Set.{u3} E)) (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) 𝔖) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_13 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_13 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_13 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zeroₓ'. -/
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
@@ -207,6 +265,12 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     (Set.eq_univ_of_forall fun x =>
       Set.mem_unionₛ_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
+/- warning: continuous_linear_map.has_basis_nhds_zero_of_basis -> ContinuousLinearMap.hasBasis_nhds_zero_of_basis is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)] {ι : Type.{u5}} {p : ι -> Prop} {b : ι -> (Set.{u4} F)}, (Filter.HasBasis.{u4, succ u5} F ι (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))) p b) -> (Filter.HasBasis.{max u3 u4, max (succ u3) (succ u5)} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u5} (Set.{u3} E) ι) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.zero.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u5} (Set.{u3} E) ι) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u5} (Set.{u3} E) ι Si)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (b (Prod.snd.{u3, u5} (Set.{u3} E) ι Si))))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u5}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u5} F] [_inst_8 : Module.{u1, u5} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u5} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u5} F] [_inst_13 : TopologicalAddGroup.{u5} F _inst_12 (AddCommGroup.toAddGroup.{u5} F _inst_7)] {ι : Type.{u4}} {p : ι -> Prop} {b : ι -> (Set.{u5} F)}, (Filter.HasBasis.{u5, succ u4} F ι (nhds.{u5} F _inst_12 (OfNat.ofNat.{u5} F 0 (Zero.toOfNat0.{u5} F (NegZeroClass.toZero.{u5} F (SubNegZeroMonoid.toNegZeroClass.{u5} F (SubtractionMonoid.toSubNegZeroMonoid.{u5} F (SubtractionCommMonoid.toSubtractionMonoid.{u5} F (AddCommGroup.toDivisionAddCommMonoid.{u5} F _inst_7)))))))) p b) -> (Filter.HasBasis.{max u3 u5, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) ι) (nhds.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8)))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) (p (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))) (fun (Si : Prod.{u3, u4} (Set.{u3} E) ι) => setOf.{max u3 u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) ι Si)) -> (Membership.mem.{u5, u5} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u5} F) (Set.instMembershipSet.{u5} F) (FunLike.coe.{max (succ u3) (succ u5), succ u3, succ u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u5, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u5, u2, u1, u3, u5} (ContinuousLinearMap.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u5} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u5} F _inst_7) _inst_4 _inst_8))) f x) (b (Prod.snd.{u3, u4} (Set.{u3} E) ι Si))))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basisₓ'. -/
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
@@ -216,6 +280,12 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
 
+/- warning: continuous_linear_map.has_basis_nhds_zero -> ContinuousLinearMap.hasBasis_nhds_zero is a dubious translation:
+lean 3 declaration is
+  forall {𝕜₁ : Type.{u1}} {𝕜₂ : Type.{u2}} [_inst_1 : NormedField.{u1} 𝕜₁] [_inst_2 : NormedField.{u2} 𝕜₂] {σ : 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 _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₂ (Ring.toNonAssocRing.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u2, u4} 𝕜₂ F (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (OfNat.mk.{max u3 u4} (ContinuousLinearMap.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ 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(NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Bornology.IsVonNBounded.{u1, u3} 𝕜₁ E (SeminormedCommRing.toSemiNormedRing.{u1} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))) (SMulZeroClass.toHasSmul.{u1, u3} 𝕜₁ E (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (SMulWithZero.toSmulZeroClass.{u1, u3} 𝕜₁ E (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 _inst_1)))))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (MulActionWithZero.toSMulWithZero.{u1, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u1} 𝕜₁ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1))))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (AddCommMonoid.toAddMonoid.{u3} E (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)))) (Module.toMulActionWithZero.{u1, u3} 𝕜₁ E (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (AddZeroClass.toHasZero.{u3} E (AddMonoid.toAddZeroClass.{u3} E (SubNegMonoid.toAddMonoid.{u3} E (AddGroup.toSubNegMonoid.{u3} E (AddCommGroup.toAddGroup.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) (Membership.Mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (Filter.hasMem.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (OfNat.mk.{u4} F 0 (Zero.zero.{u4} F (AddZeroClass.toHasZero.{u4} F (AddMonoid.toAddZeroClass.{u4} F (SubNegMonoid.toAddMonoid.{u4} F (AddGroup.toSubNegMonoid.{u4} F (AddCommGroup.toAddGroup.{u4} F _inst_7))))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => 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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.Mem.{u3, u3} E (Set.{u3} E) (Set.hasMem.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.Mem.{u4, u4} F (Set.{u4} F) (Set.hasMem.{u4} F) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (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 _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => E -> F) (ContinuousLinearMap.toFun.{u1, u2, u3, u4} 𝕜₁ 𝕜₂ (Ring.toSemiring.{u1} 𝕜₁ (NormedRing.toRing.{u1} 𝕜₁ (NormedCommRing.toNormedRing.{u1} 𝕜₁ (NormedField.toNormedCommRing.{u1} 𝕜₁ _inst_1)))) (Ring.toSemiring.{u2} 𝕜₂ (NormedRing.toRing.{u2} 𝕜₂ (NormedCommRing.toNormedRing.{u2} 𝕜₂ (NormedField.toNormedCommRing.{u2} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
+but is expected to have type
+  forall {𝕜₁ : Type.{u2}} {𝕜₂ : Type.{u1}} [_inst_1 : NormedField.{u2} 𝕜₁] [_inst_2 : NormedField.{u1} 𝕜₂] {σ : RingHom.{u2, u1} 𝕜₁ 𝕜₂ (NonAssocRing.toNonAssocSemiring.{u2} 𝕜₁ (Ring.toNonAssocRing.{u2} 𝕜₁ (NormedRing.toRing.{u2} 𝕜₁ (NormedCommRing.toNormedRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))))) (NonAssocRing.toNonAssocSemiring.{u1} 𝕜₂ (Ring.toNonAssocRing.{u1} 𝕜₂ (NormedRing.toRing.{u1} 𝕜₂ (NormedCommRing.toNormedRing.{u1} 𝕜₂ (NormedField.toNormedCommRing.{u1} 𝕜₂ _inst_2)))))} {E : Type.{u3}} {F : Type.{u4}} [_inst_3 : AddCommGroup.{u3} E] [_inst_4 : Module.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3)] [_inst_7 : AddCommGroup.{u4} F] [_inst_8 : Module.{u1, u4} 𝕜₂ F (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) (AddCommGroup.toAddCommMonoid.{u4} F _inst_7)] [_inst_11 : TopologicalSpace.{u3} E] [_inst_12 : TopologicalSpace.{u4} F] [_inst_13 : TopologicalAddGroup.{u4} F _inst_12 (AddCommGroup.toAddGroup.{u4} F _inst_7)], Filter.HasBasis.{max u3 u4, max (succ u3) (succ u4)} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) (nhds.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.topologicalSpace.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ _inst_1 _inst_2 σ E F _inst_3 _inst_4 _inst_7 _inst_8 _inst_11 _inst_12 _inst_13) (OfNat.ofNat.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 0 (Zero.toOfNat0.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (ContinuousLinearMap.zero.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8)))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => And (Bornology.IsVonNBounded.{u2, u3} 𝕜₁ E (SeminormedCommRing.toSeminormedRing.{u2} 𝕜₁ (NormedCommRing.toSeminormedCommRing.{u2} 𝕜₁ (NormedField.toNormedCommRing.{u2} 𝕜₁ _inst_1))) (SMulZeroClass.toSMul.{u2, u3} 𝕜₁ E (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (SMulWithZero.toSMulZeroClass.{u2, u3} 𝕜₁ E (CommMonoidWithZero.toZero.{u2} 𝕜₁ (CommGroupWithZero.toCommMonoidWithZero.{u2} 𝕜₁ (Semifield.toCommGroupWithZero.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (MulActionWithZero.toSMulWithZero.{u2, u3} 𝕜₁ E (Semiring.toMonoidWithZero.{u2} 𝕜₁ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1))))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) (Module.toMulActionWithZero.{u2, u3} 𝕜₁ E (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) _inst_4)))) (NegZeroClass.toZero.{u3} E (SubNegZeroMonoid.toNegZeroClass.{u3} E (SubtractionMonoid.toSubNegZeroMonoid.{u3} E (SubtractionCommMonoid.toSubtractionMonoid.{u3} E (AddCommGroup.toDivisionAddCommMonoid.{u3} E _inst_3))))) _inst_11 (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) (Membership.mem.{u4, u4} (Set.{u4} F) (Filter.{u4} F) (instMembershipSetFilter.{u4} F) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV) (nhds.{u4} F _inst_12 (OfNat.ofNat.{u4} F 0 (Zero.toOfNat0.{u4} F (NegZeroClass.toZero.{u4} F (SubNegZeroMonoid.toNegZeroClass.{u4} F (SubtractionMonoid.toSubNegZeroMonoid.{u4} F (SubtractionCommMonoid.toSubtractionMonoid.{u4} F (AddCommGroup.toDivisionAddCommMonoid.{u4} F _inst_7)))))))))) (fun (SV : Prod.{u3, u4} (Set.{u3} E) (Set.{u4} F)) => setOf.{max u3 u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) (fun (f : ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) => forall (x : E), (Membership.mem.{u3, u3} E (Set.{u3} E) (Set.instMembershipSet.{u3} E) x (Prod.fst.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV)) -> (Membership.mem.{u4, u4} ((fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) x) (Set.{u4} F) (Set.instMembershipSet.{u4} F) (FunLike.coe.{max (succ u3) (succ u4), succ u3, succ u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E (fun (_x : E) => (fun (x._@.Mathlib.Topology.ContinuousFunction.Basic._hyg.699 : E) => F) _x) (ContinuousMapClass.toFunLike.{max u3 u4, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) E F _inst_11 _inst_12 (ContinuousSemilinearMapClass.toContinuousMapClass.{max u3 u4, u2, u1, u3, u4} (ContinuousLinearMap.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8) 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8 (ContinuousLinearMap.continuousSemilinearMapClass.{u2, u1, u3, u4} 𝕜₁ 𝕜₂ (DivisionSemiring.toSemiring.{u2} 𝕜₁ (Semifield.toDivisionSemiring.{u2} 𝕜₁ (Field.toSemifield.{u2} 𝕜₁ (NormedField.toField.{u2} 𝕜₁ _inst_1)))) (DivisionSemiring.toSemiring.{u1} 𝕜₂ (Semifield.toDivisionSemiring.{u1} 𝕜₂ (Field.toSemifield.{u1} 𝕜₂ (NormedField.toField.{u1} 𝕜₂ _inst_2)))) σ E _inst_11 (AddCommGroup.toAddCommMonoid.{u3} E _inst_3) F _inst_12 (AddCommGroup.toAddCommMonoid.{u4} F _inst_7) _inst_4 _inst_8))) f x) (Prod.snd.{u3, u4} (Set.{u3} E) (Set.{u4} F) SV))))
+Case conversion may be inaccurate. Consider using '#align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zeroₓ'. -/
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis
       (fun SV : Set E × Set F => Bornology.IsVonNBounded 𝕜₁ SV.1 ∧ SV.2 ∈ (𝓝 0 : Filter F))

bump to nightly-2023-03-28-02

mathlib commit https://github.com/leanprover-community/mathlib/commit/728baa2f54e6062c5879a3e397ac6bac323e506f

869495ce

Diff

@@ -4,12 +4,11 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Anatole Dedecker
 
 ! This file was ported from Lean 3 source module topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit f2ce6086713c78a7f880485f7917ea547a215982
+! leanprover-community/mathlib commit b8627dbac120a9ad6267a75575ae1e070d5bff5b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Algebra.UniformConvergence
-import Mathbin.Topology.Algebra.Module.LocallyConvex
 
 /-!
 # Strong topologies on the space of continuous linear maps
@@ -52,7 +51,6 @@ sets).
 
 ## TODO
 
-* show that these topologies are T₂ and locally convex if the topology on `F` is
 * add a type alias for continuous linear maps with the topology of `𝔖`-convergence?
 
 ## Tags
@@ -175,22 +173,6 @@ theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGr
   strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
 
-theorem strongTopology.locallyConvexSpace [TopologicalSpace F'] [TopologicalAddGroup F']
-    [ContinuousConstSMul ℝ F'] [LocallyConvexSpace ℝ F'] (𝔖 : Set (Set E')) (h𝔖₁ : 𝔖.Nonempty)
-    (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
-    @LocallyConvexSpace ℝ (E' →L[ℝ] F') _ _ _ (strongTopology (RingHom.id ℝ) F' 𝔖) :=
-  by
-  letI : TopologicalSpace (E' →L[ℝ] F') := strong_topology (RingHom.id ℝ) F' 𝔖
-  haveI : TopologicalAddGroup (E' →L[ℝ] F') := strong_topology.topological_add_group _ _ _
-  refine'
-    LocallyConvexSpace.ofBasisZero _ _ _ _
-      (strong_topology.has_basis_nhds_zero_of_basis _ _ _ h𝔖₁ h𝔖₂
-        (LocallyConvexSpace.convex_basis_zero ℝ F'))
-      _
-  rintro ⟨S, V⟩ ⟨hS, hVmem, hVconvex⟩ f hf g hg a b ha hb hab x hx
-  exact hVconvex (hf x hx) (hg x hx) ha hb hab
-#align continuous_linear_map.strong_topology.locally_convex_space ContinuousLinearMap.strongTopology.locallyConvexSpace
-
 end General
 
 section BoundedSets
@@ -241,11 +223,6 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
 
-instance [TopologicalSpace E'] [TopologicalSpace F'] [TopologicalAddGroup F']
-    [ContinuousConstSMul ℝ F'] [LocallyConvexSpace ℝ F'] : LocallyConvexSpace ℝ (E' →L[ℝ] F') :=
-  strongTopology.locallyConvexSpace _ ⟨∅, Bornology.isVonNBounded_empty ℝ E'⟩
-    (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union)
-
 end BoundedSets
 
 end ContinuousLinearMap

f2ce6086

bump to nightly-2023-02-27-16

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

feafc24f

Diff

@@ -117,14 +117,14 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   rw [strong_uniformity, UniformSpace.replaceTopology_eq]
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F := ⟨(coeFn : (E →SL[σ] F) → E →ᵤ F), rfl, fun _ _ => rfl⟩
-  exact uniform_add_group_comap φ
+  exact uniformAddGroup_comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
-  haveI : UniformAddGroup F := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : UniformSpace (E →SL[σ] F) := strong_uniformity σ F 𝔖
   haveI : UniformAddGroup (E →SL[σ] F) := strong_uniformity.uniform_add_group σ F 𝔖
   infer_instance
@@ -134,7 +134,7 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
     (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
-  haveI : UniformAddGroup F := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : TopologicalSpace (E →SL[σ] F) := strong_topology σ F 𝔖
   haveI : T2Space (E →ᵤ[𝔖] F) := UniformOnFun.t2Space_of_covering h𝔖
   exact (strong_topology.embedding_coe_fn σ F 𝔖).T2Space
@@ -146,7 +146,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
     @ContinuousSMul 𝕜₂ (E →SL[σ] F) _ _ (strongTopology σ F 𝔖) :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
-  haveI : UniformAddGroup F := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : TopologicalSpace (E →SL[σ] F) := strong_topology σ F 𝔖
   let φ : (E →SL[σ] F) →ₗ[𝕜₂] E →ᵤ[𝔖] F :=
     ⟨(coeFn : (E →SL[σ] F) → E → F), fun _ _ => rfl, fun _ _ => rfl⟩
@@ -162,7 +162,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
       fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } :=
   by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
-  haveI : UniformAddGroup F := topological_add_commGroup_is_uniform
+  haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   rw [nhds_induced]
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap coeFn
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis

f2ce6086

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

feat(Topology/Algebra/Module/StrongTopology): add monotonicity lemmas (#11600)

cb4b5056

Diff

@@ -83,15 +83,23 @@ instance instFunLike [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : FunLike (UniformConvergenceCLM σ F 𝔖) E F :=
   ContinuousLinearMap.funLike
 
-instance continuousSemilinearMapClass [TopologicalSpace F] [TopologicalAddGroup F]
+instance instContinuousSemilinearMapClass [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : ContinuousSemilinearMapClass (UniformConvergenceCLM σ F 𝔖) σ E F :=
   ContinuousLinearMap.continuousSemilinearMapClass
-instance instTopologicalSpace [TopologicalSpace F]
-    [TopologicalAddGroup F] (𝔖 : Set (Set E)) : TopologicalSpace (UniformConvergenceCLM σ F 𝔖) :=
+
+instance instTopologicalSpace [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
+    TopologicalSpace (UniformConvergenceCLM σ F 𝔖) :=
   (@UniformOnFun.topologicalSpace E F (TopologicalAddGroup.toUniformSpace F) 𝔖).induced
     (DFunLike.coe : (UniformConvergenceCLM σ F 𝔖) → (E →ᵤ[𝔖] F))
 #align continuous_linear_map.strong_topology UniformConvergenceCLM.instTopologicalSpace
 
+theorem topologicalSpace_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    instTopologicalSpace σ F 𝔖 = TopologicalSpace.induced DFunLike.coe
+      (UniformOnFun.topologicalSpace E F 𝔖) := by
+  rw [instTopologicalSpace]
+  congr
+  exact UniformAddGroup.toUniformSpace_eq
+
 /-- The uniform structure associated with `ContinuousLinearMap.strongTopology`. We make sure
 that this has nice definitional properties. -/
 instance instUniformSpace [UniformSpace F] [UniformAddGroup F]
@@ -102,6 +110,10 @@ instance instUniformSpace [UniformSpace F] [UniformAddGroup F]
     (by rw [UniformConvergenceCLM.instTopologicalSpace, UniformAddGroup.toUniformSpace_eq]; rfl)
 #align continuous_linear_map.strong_uniformity UniformConvergenceCLM.instUniformSpace
 
+theorem uniformSpace_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    instUniformSpace σ F 𝔖 = UniformSpace.comap DFunLike.coe (UniformOnFun.uniformSpace E F 𝔖) := by
+  rw [instUniformSpace, UniformSpace.replaceTopology_eq]
+
 @[simp]
 theorem uniformity_toTopologicalSpace_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     (UniformConvergenceCLM.instUniformSpace σ F 𝔖).toTopologicalSpace =
@@ -109,8 +121,7 @@ theorem uniformity_toTopologicalSpace_eq [UniformSpace F] [UniformAddGroup F] (
   rfl
 #align continuous_linear_map.strong_uniformity_topology_eq UniformConvergenceCLM.uniformity_toTopologicalSpace_eq
 
-theorem uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
-    (𝔖 : Set (Set E)) :
+theorem uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     UniformEmbedding (α := UniformConvergenceCLM σ F 𝔖) (β := E →ᵤ[𝔖] F) DFunLike.coe :=
   ⟨⟨rfl⟩, DFunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn UniformConvergenceCLM.uniformEmbedding_coeFn
@@ -208,6 +219,20 @@ theorem tendsto_iff_tendstoUniformlyOn {ι : Type*} {p : Filter ι} [UniformSpac
   rw [(embedding_coeFn σ F 𝔖).tendsto_nhds_iff, UniformOnFun.tendsto_iff_tendstoUniformlyOn]
   rfl
 
+variable {𝔖₁ 𝔖₂ : Set (Set E)}
+
+theorem uniformSpace_mono [UniformSpace F] [UniformAddGroup F] (h : 𝔖₂ ⊆ 𝔖₁) :
+    instUniformSpace σ F 𝔖₁ ≤ instUniformSpace σ F 𝔖₂ := by
+  simp_rw [uniformSpace_eq]
+  exact UniformSpace.comap_mono (UniformOnFun.mono (le_refl _) h)
+
+theorem topologicalSpace_mono [TopologicalSpace F] [TopologicalAddGroup F] (h : 𝔖₂ ⊆ 𝔖₁) :
+    instTopologicalSpace σ F 𝔖₁ ≤ instTopologicalSpace σ F 𝔖₂ := by
+  letI := TopologicalAddGroup.toUniformSpace F
+  haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
+  simp_rw [← uniformity_toTopologicalSpace_eq]
+  exact UniformSpace.toTopologicalSpace_mono (uniformSpace_mono σ F h)
+
 end UniformConvergenceCLM
 
 end General

feat(Topology/Algebra/StrongTopology): introduce type synonym for abstract topologies on CLM (#11470)

ab84fe13

Diff

@@ -29,14 +29,15 @@ sets).
 
 ## Main definitions
 
-* `ContinuousLinearMap.strongTopology` is the topology mentioned above for an arbitrary `𝔖`.
+* `UniformConvergenceCLM` is a type synonym for `E →SL[σ] F` equipped with the `𝔖`-topology.
+* `UniformConvergenceCLM.instTopologicalSpace` is the topology mentioned above for an arbitrary `𝔖`.
 * `ContinuousLinearMap.topologicalSpace` is the topology of bounded convergence. This is
   declared as an instance.
 
 ## Main statements
 
-* `ContinuousLinearMap.strongTopology.topologicalAddGroup` and
-  `ContinuousLinearMap.strongTopology.continuousSMul` show that the strong topology
+* `UniformConvergenceCLM.instTopologicalAddGroup` and
+  `UniformConvergenceCLM.instContinuousSMul` show that the strong topology
   makes `E →L[𝕜] F` a topological vector space, with the assumptions on `𝔖` mentioned above.
 * `ContinuousLinearMap.topologicalAddGroup` and
   `ContinuousLinearMap.continuousSMul` register these facts as instances for the special
@@ -48,7 +49,7 @@ sets).
 
 ## TODO
 
-* add a type alias for continuous linear maps with the topology of `𝔖`-convergence?
+* Add convergence on compact subsets
 
 ## Tags
 
@@ -58,139 +59,165 @@ uniform convergence, bounded convergence
 
 open scoped Topology UniformConvergence
 
-namespace ContinuousLinearMap
-
 section General
 
+/-! ### 𝔖-Topologies -/
+
 variable {𝕜₁ 𝕜₂ : Type*} [NormedField 𝕜₁] [NormedField 𝕜₂] (σ : 𝕜₁ →+* 𝕜₂) {E E' F F' : Type*}
   [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
   [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E] [TopologicalSpace E'] (F)
 
 /-- Given `E` and `F` two topological vector spaces and `𝔖 : Set (Set E)`, then
-`strongTopology σ F 𝔖` is the "topology of uniform convergence on the elements of `𝔖`" on
-`E →L[𝕜] F`.
+`UniformConvergenceCLM σ F 𝔖` is a type synonym of `E →SL[σ] F` equipped with the "topology of
+uniform convergence on the elements of `𝔖`".
 
-If the continuous linear image of any element of `𝔖` is bounded, this makes `E →L[𝕜] F` a
+If the continuous linear image of any element of `𝔖` is bounded, this makes `E →SL[σ] F` a
 topological vector space. -/
-def strongTopology [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
-    TopologicalSpace (E →SL[σ] F) :=
+@[nolint unusedArguments]
+def UniformConvergenceCLM [TopologicalSpace F] [TopologicalAddGroup F] (_ : Set (Set E)) :=
+  E →SL[σ] F
+
+namespace UniformConvergenceCLM
+
+instance instFunLike [TopologicalSpace F] [TopologicalAddGroup F]
+    (𝔖 : Set (Set E)) : FunLike (UniformConvergenceCLM σ F 𝔖) E F :=
+  ContinuousLinearMap.funLike
+
+instance continuousSemilinearMapClass [TopologicalSpace F] [TopologicalAddGroup F]
+    (𝔖 : Set (Set E)) : ContinuousSemilinearMapClass (UniformConvergenceCLM σ F 𝔖) σ E F :=
+  ContinuousLinearMap.continuousSemilinearMapClass
+instance instTopologicalSpace [TopologicalSpace F]
+    [TopologicalAddGroup F] (𝔖 : Set (Set E)) : TopologicalSpace (UniformConvergenceCLM σ F 𝔖) :=
   (@UniformOnFun.topologicalSpace E F (TopologicalAddGroup.toUniformSpace F) 𝔖).induced
-    (DFunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F))
-#align continuous_linear_map.strong_topology ContinuousLinearMap.strongTopology
+    (DFunLike.coe : (UniformConvergenceCLM σ F 𝔖) → (E →ᵤ[𝔖] F))
+#align continuous_linear_map.strong_topology UniformConvergenceCLM.instTopologicalSpace
 
 /-- The uniform structure associated with `ContinuousLinearMap.strongTopology`. We make sure
 that this has nice definitional properties. -/
-def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    UniformSpace (E →SL[σ] F) :=
-  @UniformSpace.replaceTopology _ (strongTopology σ F 𝔖)
-    ((UniformOnFun.uniformSpace E F 𝔖).comap (DFunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F)))
-    (by rw [strongTopology, UniformAddGroup.toUniformSpace_eq]; rfl)
-#align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
+instance instUniformSpace [UniformSpace F] [UniformAddGroup F]
+    (𝔖 : Set (Set E)) : UniformSpace (UniformConvergenceCLM σ F 𝔖) :=
+  UniformSpace.replaceTopology
+    ((UniformOnFun.uniformSpace E F 𝔖).comap
+      (DFunLike.coe : (UniformConvergenceCLM σ F 𝔖) → (E →ᵤ[𝔖] F)))
+    (by rw [UniformConvergenceCLM.instTopologicalSpace, UniformAddGroup.toUniformSpace_eq]; rfl)
+#align continuous_linear_map.strong_uniformity UniformConvergenceCLM.instUniformSpace
 
 @[simp]
-theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    (strongUniformity σ F 𝔖).toTopologicalSpace = strongTopology σ F 𝔖 :=
+theorem uniformity_toTopologicalSpace_eq [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    (UniformConvergenceCLM.instUniformSpace σ F 𝔖).toTopologicalSpace =
+      UniformConvergenceCLM.instTopologicalSpace σ F 𝔖 :=
   rfl
-#align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
+#align continuous_linear_map.strong_uniformity_topology_eq UniformConvergenceCLM.uniformity_toTopologicalSpace_eq
 
-theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
+theorem uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
-    @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
-      (UniformOnFun.uniformSpace E F 𝔖) DFunLike.coe :=
-  letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
+    UniformEmbedding (α := UniformConvergenceCLM σ F 𝔖) (β := E →ᵤ[𝔖] F) DFunLike.coe :=
   ⟨⟨rfl⟩, DFunLike.coe_injective⟩
-#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
-
-theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖)
-    (UniformOnFun.topologicalSpace E F 𝔖) (UniformOnFun.ofFun 𝔖 ∘ DFunLike.coe) :=
-  @UniformEmbedding.embedding _ _ (_root_.id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
-#align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
-
-theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
-    @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ := by
-  letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
-  let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F :=
-    ⟨⟨(DFunLike.coe : (E →SL[σ] F) → E →ᵤ[𝔖] F), rfl⟩, fun _ _ => rfl⟩
-  exact (strongUniformity.uniformEmbedding_coeFn _ _ _).uniformAddGroup φ
-#align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
-
-theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
-    (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ := by
+#align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn UniformConvergenceCLM.uniformEmbedding_coeFn
+
+theorem embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    Embedding (X := UniformConvergenceCLM σ F 𝔖) (Y := E →ᵤ[𝔖] F)
+      (UniformOnFun.ofFun 𝔖 ∘ DFunLike.coe) :=
+  UniformEmbedding.embedding (uniformEmbedding_coeFn _ _ _)
+#align continuous_linear_map.strong_topology.embedding_coe_fn UniformConvergenceCLM.embedding_coeFn
+
+instance instAddCommGroup [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
+    AddCommGroup (UniformConvergenceCLM σ F 𝔖) := ContinuousLinearMap.addCommGroup
+
+instance instUniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
+    UniformAddGroup (UniformConvergenceCLM σ F 𝔖) := by
+  let φ : (UniformConvergenceCLM σ F 𝔖) →+ E →ᵤ[𝔖] F :=
+    ⟨⟨(DFunLike.coe : (UniformConvergenceCLM σ F 𝔖) → E →ᵤ[𝔖] F), rfl⟩, fun _ _ => rfl⟩
+  exact (uniformEmbedding_coeFn _ _ _).uniformAddGroup φ
+#align continuous_linear_map.strong_uniformity.uniform_add_group UniformConvergenceCLM.instUniformAddGroup
+
+instance instTopologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
+    (𝔖 : Set (Set E)) : TopologicalAddGroup (UniformConvergenceCLM σ F 𝔖) := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
-  haveI : UniformAddGroup (E →SL[σ] F) := strongUniformity.uniformAddGroup σ F 𝔖
   infer_instance
-#align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
+#align continuous_linear_map.strong_topology.topological_add_group UniformConvergenceCLM.instTopologicalAddGroup
 
-theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
-    (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : @T2Space (E →SL[σ] F) (strongTopology σ F 𝔖) := by
+theorem t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
+    (𝔖 : Set (Set E)) (h𝔖 : ⋃₀ 𝔖 = Set.univ) : T2Space (UniformConvergenceCLM σ F 𝔖) := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
   haveI : T2Space (E →ᵤ[𝔖] F) := UniformOnFun.t2Space_of_covering h𝔖
-  exact (strongTopology.embedding_coeFn σ F 𝔖).t2Space
-#align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
+  exact (embedding_coeFn σ F 𝔖).t2Space
+#align continuous_linear_map.strong_topology.t2_space UniformConvergenceCLM.t2Space
+
+instance instDistribMulAction (M : Type*) [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
+    [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] (𝔖 : Set (Set E)) :
+    DistribMulAction M (UniformConvergenceCLM σ F 𝔖) := ContinuousLinearMap.distribMulAction
 
-theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
+instance instModule (R : Type*) [Semiring R] [Module R F] [SMulCommClass 𝕜₂ R F]
+    [TopologicalSpace F] [ContinuousConstSMul R F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
+    Module R (UniformConvergenceCLM σ F 𝔖) := ContinuousLinearMap.module
+
+theorem continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
-    @ContinuousSMul 𝕜₂ (E →SL[σ] F) _ _ (strongTopology σ F 𝔖) := by
+    ContinuousSMul 𝕜₂ (UniformConvergenceCLM σ F 𝔖) := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
-  let φ : (E →SL[σ] F) →ₗ[𝕜₂] E → F := ⟨⟨DFunLike.coe, fun _ _ => rfl⟩, fun _ _ => rfl⟩
-  exact UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) φ ⟨rfl⟩
-    fun u s hs => (h𝔖₃ s hs).image u
-#align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
+  let φ : (UniformConvergenceCLM σ F 𝔖) →ₗ[𝕜₂] E → F :=
+    ⟨⟨DFunLike.coe, fun _ _ => rfl⟩, fun _ _ => rfl⟩
+  exact UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (UniformConvergenceCLM σ F 𝔖) φ
+    ⟨rfl⟩ fun u s hs => (h𝔖₃ s hs).image u
+#align continuous_linear_map.strong_topology.has_continuous_smul UniformConvergenceCLM.continuousSMul
 
-theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
+theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type*} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
-    (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
+    (𝓝 (0 : UniformConvergenceCLM σ F 𝔖)).HasBasis
       (fun Si : Set E × ι => Si.1 ∈ 𝔖 ∧ p Si.2)
       fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  -- Porting note: replace `nhds_induced` by `Inducing.nhds_eq_comap` (which needs an additional
-  -- `letI`) so that Lean doesn't try to use the product topology
-  letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
-  rw [(strongTopology.embedding_coeFn σ F 𝔖).toInducing.nhds_eq_comap]
+  rw [(embedding_coeFn σ F 𝔖).toInducing.nhds_eq_comap]
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap DFunLike.coe
-#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
+#align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis UniformConvergenceCLM.hasBasis_nhds_zero_of_basis
 
-theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
+theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
-    (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
+    (𝓝 (0 : UniformConvergenceCLM σ F 𝔖)).HasBasis
       (fun SV : Set E × Set F => SV.1 ∈ 𝔖 ∧ SV.2 ∈ (𝓝 0 : Filter F)) fun SV =>
-      { f : E →SL[σ] F | ∀ x ∈ SV.1, f x ∈ SV.2 } :=
-  strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
-#align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
+      { f : UniformConvergenceCLM σ F 𝔖 | ∀ x ∈ SV.1, f x ∈ SV.2 } :=
+  hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
+#align continuous_linear_map.strong_topology.has_basis_nhds_zero UniformConvergenceCLM.hasBasis_nhds_zero
 
-theorem strongTopology.uniformContinuousConstSMul (M : Type*)
+instance instUniformContinuousConstSMul (M : Type*)
     [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
     [UniformSpace F] [UniformAddGroup F] [UniformContinuousConstSMul M F] (𝔖 : Set (Set E)) :
-    @UniformContinuousConstSMul M (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
-  let _ := strongUniformity σ F 𝔖
-  (strongUniformity.uniformEmbedding_coeFn σ F 𝔖).toUniformInducing.uniformContinuousConstSMul
-    fun _ _ ↦ rfl
+    UniformContinuousConstSMul M (UniformConvergenceCLM σ F 𝔖) :=
+  (uniformEmbedding_coeFn σ F 𝔖).toUniformInducing.uniformContinuousConstSMul fun _ _ ↦ by rfl
 
-theorem strongTopology.continuousConstSMul (M : Type*)
+instance instContinuousConstSMul (M : Type*)
     [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] (𝔖 : Set (Set E)) :
-    @ContinuousConstSMul M (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
+    ContinuousConstSMul M (UniformConvergenceCLM σ F 𝔖) :=
   let _ := TopologicalAddGroup.toUniformSpace F
   have _ : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  let _ := strongUniformity σ F 𝔖
   have _ := uniformContinuousConstSMul_of_continuousConstSMul M F
-  have _ := strongTopology.uniformContinuousConstSMul σ F M 𝔖
   inferInstance
 
+theorem tendsto_iff_tendstoUniformlyOn {ι : Type*} {p : Filter ι} [UniformSpace F]
+    [UniformAddGroup F] (𝔖 : Set (Set E)) {a : ι → UniformConvergenceCLM σ F 𝔖}
+    {a₀ : UniformConvergenceCLM σ F 𝔖} :
+    Filter.Tendsto a p (𝓝 a₀) ↔ ∀ s ∈ 𝔖, TendstoUniformlyOn (a · ·) a₀ p s := by
+  rw [(embedding_coeFn σ F 𝔖).tendsto_nhds_iff, UniformOnFun.tendsto_iff_tendstoUniformlyOn]
+  rfl
+
+end UniformConvergenceCLM
+
 end General
 
+namespace ContinuousLinearMap
+
 section BoundedSets
 
+/-! ### Topology of bounded convergence  -/
+
 variable {𝕜₁ 𝕜₂ 𝕜₃ : Type*} [NormedField 𝕜₁] [NormedField 𝕜₂] [NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂}
   {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [RingHomCompTriple σ τ ρ] {E E' F F' G : Type*} [AddCommGroup E]
   [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F] [AddCommGroup F']
@@ -200,25 +227,25 @@ variable {𝕜₁ 𝕜₂ 𝕜₃ : Type*} [NormedField 𝕜₁] [NormedField 
 the operator norm when `E` and `F` are normed spaces. -/
 instance topologicalSpace [TopologicalSpace F] [TopologicalAddGroup F] :
     TopologicalSpace (E →SL[σ] F) :=
-  strongTopology σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  UniformConvergenceCLM.instTopologicalSpace σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
 
 instance topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F] :
     TopologicalAddGroup (E →SL[σ] F) :=
-  strongTopology.topologicalAddGroup σ F _
+  UniformConvergenceCLM.instTopologicalAddGroup σ F _
 
 instance continuousSMul [RingHomSurjective σ] [RingHomIsometric σ] [TopologicalSpace F]
     [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] : ContinuousSMul 𝕜₂ (E →SL[σ] F) :=
-  strongTopology.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S } fun _ hs => hs
+  UniformConvergenceCLM.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S } fun _ hs => hs
 
 instance uniformSpace [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
-  strongUniformity σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  UniformConvergenceCLM.instUniformSpace σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
 
 instance uniformAddGroup [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
-  strongUniformity.uniformAddGroup σ F _
+  UniformConvergenceCLM.instUniformAddGroup σ F _
 
 instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E] [T2Space F] :
     T2Space (E →SL[σ] F) :=
-  strongTopology.t2Space σ F _
+  UniformConvergenceCLM.t2Space σ F _
     (Set.eq_univ_of_forall fun x =>
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
@@ -226,7 +253,7 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     {ι : Type*} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
       fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } :=
-  strongTopology.hasBasis_nhds_zero_of_basis σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
+  UniformConvergenceCLM.hasBasis_nhds_zero_of_basis σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
@@ -242,12 +269,12 @@ instance uniformContinuousConstSMul
     {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
     [UniformSpace F] [UniformAddGroup F] [UniformContinuousConstSMul M F] :
     UniformContinuousConstSMul M (E →SL[σ] F) :=
-  strongTopology.uniformContinuousConstSMul σ F _ _
+  UniformConvergenceCLM.instUniformContinuousConstSMul σ F _ _
 
 instance continuousConstSMul {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] :
     ContinuousConstSMul M (E →SL[σ] F) :=
-  strongTopology.continuousConstSMul σ F _ _
+  UniformConvergenceCLM.instContinuousConstSMul σ F _ _
 
 variable (G) [TopologicalSpace F] [TopologicalSpace G]
 
@@ -264,11 +291,11 @@ def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurj
   cont := by
     letI : UniformSpace G := TopologicalAddGroup.toUniformSpace G
     haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
-    rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
+    rw [(UniformConvergenceCLM.embedding_coeFn _ _ _).continuous_iff]
     -- Porting note: without this, the following doesn't work
     change Continuous ((fun f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ DFunLike.coe)
     exact (UniformOnFun.precomp_uniformContinuous fun S hS => hS.image L).continuous.comp
-        (strongTopology.embedding_coeFn _ _ _).continuous
+        (UniformConvergenceCLM.embedding_coeFn _ _ _).continuous
 #align continuous_linear_map.precomp ContinuousLinearMap.precomp
 
 variable (E) {G}
@@ -288,10 +315,10 @@ def postcomp [TopologicalAddGroup F] [TopologicalAddGroup G] [ContinuousConstSMu
     haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
     letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
     haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-    rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
+    rw [(UniformConvergenceCLM.embedding_coeFn _ _ _).continuous_iff]
     exact
       (UniformOnFun.postcomp_uniformContinuous L.uniformContinuous).continuous.comp
-        (strongTopology.embedding_coeFn _ _ _).continuous
+        (UniformConvergenceCLM.embedding_coeFn _ _ _).continuous
 #align continuous_linear_map.postcomp ContinuousLinearMap.postcomp
 
 end BoundedSets
@@ -318,6 +345,8 @@ open ContinuousLinearMap
 
 namespace ContinuousLinearEquiv
 
+/-! ### Continuous linear equivalences -/
+
 section Semilinear
 
 variable {𝕜 : Type*} {𝕜₂ : Type*} {𝕜₃ : Type*} {𝕜₄ : Type*} {E : Type*} {F : Type*}

feat: bundled versions of two operations on continuous multilinear maps (#11775)

We provide versions of smulRight and compContinuousLinearMap as a continuous bilinear (resp multilinear) map.

66c48ceb

Diff

@@ -307,6 +307,9 @@ variable {𝕜 : Type*} [NormedField 𝕜] {E F G : Type*}
 /-- Send a continuous bilinear map to an abstract bilinear map (forgetting continuity). -/
 def toLinearMap₂ (L : E →L[𝕜] F →L[𝕜] G) : E →ₗ[𝕜] F →ₗ[𝕜] G := (coeLM 𝕜).comp L.toLinearMap
 
+@[simp] lemma toLinearMap₂_apply (L : E →L[𝕜] F →L[𝕜] G) (v : E) (w : F) :
+    L.toLinearMap₂ v w = L v w := rfl
+
 end BilinearMaps
 
 end ContinuousLinearMap

chore: replace λ by fun (#11301)

Per the style guidelines, λ is disallowed in mathlib. This is close to exhaustive; I left some tactic code alone when it seemed to me that tactic could be upstreamed soon.

Notes

In lines I was modifying anyway, I also converted => to ↦.
Also contains some mild in-passing indentation fixes in Mathlib/Order/SupClosed.
Some doc comments still contained Lean 3 syntax λ x, , which I also replaced.

af0f54a9

Diff

@@ -266,7 +266,7 @@ def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurj
     haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
     rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
     -- Porting note: without this, the following doesn't work
-    change Continuous ((λ f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ DFunLike.coe)
+    change Continuous ((fun f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ DFunLike.coe)
     exact (UniformOnFun.precomp_uniformContinuous fun S hS => hS.image L).continuous.comp
         (strongTopology.embedding_coeFn _ _ _).continuous
 #align continuous_linear_map.precomp ContinuousLinearMap.precomp

feat(Algebra/UniformConvergence): drop unneeded assumptions (#10321)

Prove a version of UniformOnFun.continuousSMul_induced_of_image_bounded for UniformFuns.
Deal with φ : H →ₗ[𝕜] (α → E) and ofFun ∘ φ, not φ : H →ₗ[𝕜] (α →ᵤ[𝔖] E).
Drop unneeded assumptions (nonempty, directed).

faecefeb

Diff

@@ -135,17 +135,14 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
 
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
-    (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖)
     (h𝔖₃ : ∀ S ∈ 𝔖, Bornology.IsVonNBounded 𝕜₁ S) :
     @ContinuousSMul 𝕜₂ (E →SL[σ] F) _ _ (strongTopology σ F 𝔖) := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
-  let φ : (E →SL[σ] F) →ₗ[𝕜₂] E →ᵤ[𝔖] F :=
-    ⟨⟨(DFunLike.coe : (E →SL[σ] F) → E → F), fun _ _ => rfl⟩, fun _ _ => rfl⟩
-  exact
-    UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) h𝔖₁ h𝔖₂ φ ⟨rfl⟩
-      fun u s hs => (h𝔖₃ s hs).image u
+  let φ : (E →SL[σ] F) →ₗ[𝕜₂] E → F := ⟨⟨DFunLike.coe, fun _ _ => rfl⟩, fun _ _ => rfl⟩
+  exact UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) φ ⟨rfl⟩
+    fun u s hs => (h𝔖₃ s hs).image u
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
@@ -211,9 +208,7 @@ instance topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F] :
 
 instance continuousSMul [RingHomSurjective σ] [RingHomIsometric σ] [TopologicalSpace F]
     [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] : ContinuousSMul 𝕜₂ (E →SL[σ] F) :=
-  strongTopology.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
-    ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
-    (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) fun _ hs => hs
+  strongTopology.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S } fun _ hs => hs
 
 instance uniformSpace [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
   strongUniformity σ F { S | Bornology.IsVonNBounded 𝕜₁ S }

feat(Analysis/Fourier): derivative of Fourier transform (#9773)

This PR computes the Frechet derivative of the Fourier transform of a function on a real normed space, including special-case handling for functions on inner-product spaces and on the reals themselves.

Co-authored-by: Alex Kontorovich <alex.kontorovich@rutgers.edu> Co-authored-by: Heather Macbeth <hmacbeth1@fordham.edu>

43e83e9b

Diff

@@ -301,6 +301,19 @@ def postcomp [TopologicalAddGroup F] [TopologicalAddGroup G] [ContinuousConstSMu
 
 end BoundedSets
 
+section BilinearMaps
+
+variable {𝕜 : Type*} [NormedField 𝕜] {E F G : Type*}
+  [AddCommGroup E] [Module 𝕜 E] [TopologicalSpace E]
+  [AddCommGroup F] [Module 𝕜 F] [TopologicalSpace F]
+  [AddCommGroup G] [Module 𝕜 G]
+  [TopologicalSpace G] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜 G]
+
+/-- Send a continuous bilinear map to an abstract bilinear map (forgetting continuity). -/
+def toLinearMap₂ (L : E →L[𝕜] F →L[𝕜] G) : E →ₗ[𝕜] F →ₗ[𝕜] G := (coeLM 𝕜).comp L.toLinearMap
+
+end BilinearMaps
+
 end ContinuousLinearMap
 
 open ContinuousLinearMap

chore(*): rename FunLike to DFunLike (#9785)

This prepares for the introduction of a non-dependent synonym of FunLike, which helps a lot with keeping #8386 readable.

This is entirely search-and-replace in 680197f combined with manual fixes in 4145626, e900597 and b8428f8. The commands that generated this change:

sed -i 's/\bFunLike\b/DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoFunLike\b/toDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/import Mathlib.Data.DFunLike/import Mathlib.Data.FunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bHom_FunLike\b/Hom_DFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean     
sed -i 's/\binstFunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\bfunLike\b/instDFunLike/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean
sed -i 's/\btoo many metavariables to apply `fun_like.has_coe_to_fun`/too many metavariables to apply `DFunLike.hasCoeToFun`/g' {Archive,Counterexamples,Mathlib,test}/**/*.lean

Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>

82656743

Diff

@@ -75,7 +75,7 @@ topological vector space. -/
 def strongTopology [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set E)) :
     TopologicalSpace (E →SL[σ] F) :=
   (@UniformOnFun.topologicalSpace E F (TopologicalAddGroup.toUniformSpace F) 𝔖).induced
-    (FunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F))
+    (DFunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F))
 #align continuous_linear_map.strong_topology ContinuousLinearMap.strongTopology
 
 /-- The uniform structure associated with `ContinuousLinearMap.strongTopology`. We make sure
@@ -83,7 +83,7 @@ that this has nice definitional properties. -/
 def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     UniformSpace (E →SL[σ] F) :=
   @UniformSpace.replaceTopology _ (strongTopology σ F 𝔖)
-    ((UniformOnFun.uniformSpace E F 𝔖).comap (FunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F)))
+    ((UniformOnFun.uniformSpace E F 𝔖).comap (DFunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F)))
     (by rw [strongTopology, UniformAddGroup.toUniformSpace_eq]; rfl)
 #align continuous_linear_map.strong_uniformity ContinuousLinearMap.strongUniformity
 
@@ -96,14 +96,14 @@ theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
-      (UniformOnFun.uniformSpace E F 𝔖) FunLike.coe :=
+      (UniformOnFun.uniformSpace E F 𝔖) DFunLike.coe :=
   letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
-  ⟨⟨rfl⟩, FunLike.coe_injective⟩
+  ⟨⟨rfl⟩, DFunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖)
-    (UniformOnFun.topologicalSpace E F 𝔖) (UniformOnFun.ofFun 𝔖 ∘ FunLike.coe) :=
+    (UniformOnFun.topologicalSpace E F 𝔖) (UniformOnFun.ofFun 𝔖 ∘ DFunLike.coe) :=
   @UniformEmbedding.embedding _ _ (_root_.id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
 
@@ -111,7 +111,7 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ := by
   letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F :=
-    ⟨⟨(FunLike.coe : (E →SL[σ] F) → E →ᵤ[𝔖] F), rfl⟩, fun _ _ => rfl⟩
+    ⟨⟨(DFunLike.coe : (E →SL[σ] F) → E →ᵤ[𝔖] F), rfl⟩, fun _ _ => rfl⟩
   exact (strongUniformity.uniformEmbedding_coeFn _ _ _).uniformAddGroup φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
@@ -142,7 +142,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
   let φ : (E →SL[σ] F) →ₗ[𝕜₂] E →ᵤ[𝔖] F :=
-    ⟨⟨(FunLike.coe : (E →SL[σ] F) → E → F), fun _ _ => rfl⟩, fun _ _ => rfl⟩
+    ⟨⟨(DFunLike.coe : (E →SL[σ] F) → E → F), fun _ _ => rfl⟩, fun _ _ => rfl⟩
   exact
     UniformOnFun.continuousSMul_induced_of_image_bounded 𝕜₂ E F (E →SL[σ] F) h𝔖₁ h𝔖₂ φ ⟨rfl⟩
       fun u s hs => (h𝔖₃ s hs).image u
@@ -160,7 +160,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
   -- `letI`) so that Lean doesn't try to use the product topology
   letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
   rw [(strongTopology.embedding_coeFn σ F 𝔖).toInducing.nhds_eq_comap]
-  exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap FunLike.coe
+  exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap DFunLike.coe
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
 
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
@@ -271,7 +271,7 @@ def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurj
     haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
     rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
     -- Porting note: without this, the following doesn't work
-    change Continuous ((λ f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ FunLike.coe)
+    change Continuous ((λ f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ DFunLike.coe)
     exact (UniformOnFun.precomp_uniformContinuous fun S hS => hS.image L).continuous.comp
         (strongTopology.embedding_coeFn _ _ _).continuous
 #align continuous_linear_map.precomp ContinuousLinearMap.precomp

feat: action on UniformOnFun is uniformly continuous (#9714)

add UniformInducing.uniformContinuousConstSMul and its additive version;
use it to prove that the pointwise actions on α →ᵤ X and α →ᵤ[𝔖] X are uniformly continuous;
use the latter facts to prove that the pointwise action on E →SL[σ] F is uniformly continuous;
make M explicit in ContinuousLinearMap.strongTopology.continuousConstSMul, drop unneeded arguments.

6dd549bf

Diff

@@ -171,20 +171,24 @@ theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGr
   strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
 
-theorem strongTopology.continuousConstSMul {M : Type*}
+theorem strongTopology.uniformContinuousConstSMul (M : Type*)
     [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
-    [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] (𝔖 : Set (Set E))
-    (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
-    @ContinuousConstSMul M (E →SL[σ] F) (strongTopology σ F 𝔖) _ := by
-  letI := strongTopology σ F 𝔖
-  haveI : TopologicalAddGroup (E →SL[σ] F) := strongTopology.topologicalAddGroup σ F 𝔖
-  refine ⟨fun c ↦ continuous_of_continuousAt_zero (DistribSMul.toAddMonoidHom _ c) ?_⟩
-  have H₁ := strongTopology.hasBasis_nhds_zero σ F _ h𝔖₁ h𝔖₂
-  have H₂ : Filter.Tendsto (c • ·) (𝓝 0 : Filter F) (𝓝 0) :=
-    (continuous_const_smul c).tendsto' 0 _ (smul_zero _)
-  rw [ContinuousAt, map_zero, H₁.tendsto_iff H₁]
-  rintro ⟨s, t⟩ ⟨hs : s ∈ 𝔖, ht : t ∈ 𝓝 0⟩
-  exact ⟨(s, (c • ·) ⁻¹' t), ⟨hs, H₂ ht⟩, fun f  ↦ _root_.id⟩
+    [UniformSpace F] [UniformAddGroup F] [UniformContinuousConstSMul M F] (𝔖 : Set (Set E)) :
+    @UniformContinuousConstSMul M (E →SL[σ] F) (strongUniformity σ F 𝔖) _ :=
+  let _ := strongUniformity σ F 𝔖
+  (strongUniformity.uniformEmbedding_coeFn σ F 𝔖).toUniformInducing.uniformContinuousConstSMul
+    fun _ _ ↦ rfl
+
+theorem strongTopology.continuousConstSMul (M : Type*)
+    [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
+    [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] (𝔖 : Set (Set E)) :
+    @ContinuousConstSMul M (E →SL[σ] F) (strongTopology σ F 𝔖) _ :=
+  let _ := TopologicalAddGroup.toUniformSpace F
+  have _ : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
+  let _ := strongUniformity σ F 𝔖
+  have _ := uniformContinuousConstSMul_of_continuousConstSMul M F
+  have _ := strongTopology.uniformContinuousConstSMul σ F M 𝔖
+  inferInstance
 
 end General
 
@@ -239,12 +243,16 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
 
+instance uniformContinuousConstSMul
+    {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
+    [UniformSpace F] [UniformAddGroup F] [UniformContinuousConstSMul M F] :
+    UniformContinuousConstSMul M (E →SL[σ] F) :=
+  strongTopology.uniformContinuousConstSMul σ F _ _
+
 instance continuousConstSMul {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] :
     ContinuousConstSMul M (E →SL[σ] F) :=
-  strongTopology.continuousConstSMul σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
-    ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
-    (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union)
+  strongTopology.continuousConstSMul σ F _ _
 
 variable (G) [TopologicalSpace F] [TopologicalSpace G]

feat(UniformGroup): add UniformInducing.uniformGroup (#8813)

9ea21ba0

Diff

@@ -110,10 +110,9 @@ theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ := by
   letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
-  rw [strongUniformity, UniformSpace.replaceTopology_eq]
   let φ : (E →SL[σ] F) →+ E →ᵤ[𝔖] F :=
     ⟨⟨(FunLike.coe : (E →SL[σ] F) → E →ᵤ[𝔖] F), rfl⟩, fun _ _ => rfl⟩
-  exact uniformAddGroup_comap φ
+  exact (strongUniformity.uniformEmbedding_coeFn _ _ _).uniformAddGroup φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]

refactor: review normed group structure on ContinuousLinearMap (#8725)

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.

d7ae0ec5

Diff

@@ -172,6 +172,21 @@ theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGr
   strongTopology.hasBasis_nhds_zero_of_basis σ F 𝔖 h𝔖₁ h𝔖₂ (𝓝 0).basis_sets
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero ContinuousLinearMap.strongTopology.hasBasis_nhds_zero
 
+theorem strongTopology.continuousConstSMul {M : Type*}
+    [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
+    [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] (𝔖 : Set (Set E))
+    (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
+    @ContinuousConstSMul M (E →SL[σ] F) (strongTopology σ F 𝔖) _ := by
+  letI := strongTopology σ F 𝔖
+  haveI : TopologicalAddGroup (E →SL[σ] F) := strongTopology.topologicalAddGroup σ F 𝔖
+  refine ⟨fun c ↦ continuous_of_continuousAt_zero (DistribSMul.toAddMonoidHom _ c) ?_⟩
+  have H₁ := strongTopology.hasBasis_nhds_zero σ F _ h𝔖₁ h𝔖₂
+  have H₂ : Filter.Tendsto (c • ·) (𝓝 0 : Filter F) (𝓝 0) :=
+    (continuous_const_smul c).tendsto' 0 _ (smul_zero _)
+  rw [ContinuousAt, map_zero, H₁.tendsto_iff H₁]
+  rintro ⟨s, t⟩ ⟨hs : s ∈ 𝔖, ht : t ∈ 𝓝 0⟩
+  exact ⟨(s, (c • ·) ⁻¹' t), ⟨hs, H₂ ht⟩, fun f  ↦ _root_.id⟩
+
 end General
 
 section BoundedSets
@@ -225,6 +240,13 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
 
+instance continuousConstSMul {M : Type*} [Monoid M] [DistribMulAction M F] [SMulCommClass 𝕜₂ M F]
+    [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousConstSMul M F] :
+    ContinuousConstSMul M (E →SL[σ] F) :=
+  strongTopology.continuousConstSMul σ F {S | Bornology.IsVonNBounded 𝕜₁ S}
+    ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
+    (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union)
+
 variable (G) [TopologicalSpace F] [TopologicalSpace G]
 
 /-- Pre-composition by a *fixed* continuous linear map as a continuous linear map.

chore: banish Type _ and Sort _ (#6499)

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

This has nice performance benefits.

32de3f67

Diff

@@ -62,7 +62,7 @@ namespace ContinuousLinearMap
 
 section General
 
-variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] (σ : 𝕜₁ →+* 𝕜₂) {E E' F F' : Type _}
+variable {𝕜₁ 𝕜₂ : Type*} [NormedField 𝕜₁] [NormedField 𝕜₂] (σ : 𝕜₁ →+* 𝕜₂) {E E' F F' : Type*}
   [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
   [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E] [TopologicalSpace E'] (F)
 
@@ -150,7 +150,7 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
-    {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
+    {ι : Type*} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
       (fun Si : Set E × ι => Si.1 ∈ 𝔖 ∧ p Si.2)
@@ -176,8 +176,8 @@ end General
 
 section BoundedSets
 
-variable {𝕜₁ 𝕜₂ 𝕜₃ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] [NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂}
-  {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [RingHomCompTriple σ τ ρ] {E E' F F' G : Type _} [AddCommGroup E]
+variable {𝕜₁ 𝕜₂ 𝕜₃ : Type*} [NormedField 𝕜₁] [NormedField 𝕜₂] [NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂}
+  {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [RingHomCompTriple σ τ ρ] {E E' F F' G : Type*} [AddCommGroup E]
   [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F] [AddCommGroup F']
   [Module ℝ F'] [AddCommGroup G] [Module 𝕜₃ G] [TopologicalSpace E]
 
@@ -210,7 +210,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
-    {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
+    {ι : Type*} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
       fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } :=
   strongTopology.hasBasis_nhds_zero_of_basis σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
@@ -280,8 +280,8 @@ namespace ContinuousLinearEquiv
 
 section Semilinear
 
-variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _} {E : Type _} {F : Type _}
-  {G : Type _} {H : Type _} [AddCommGroup E] [AddCommGroup F] [AddCommGroup G] [AddCommGroup H]
+variable {𝕜 : Type*} {𝕜₂ : Type*} {𝕜₃ : Type*} {𝕜₄ : Type*} {E : Type*} {F : Type*}
+  {G : Type*} {H : Type*} [AddCommGroup E] [AddCommGroup F] [AddCommGroup G] [AddCommGroup H]
   [NontriviallyNormedField 𝕜] [NontriviallyNormedField 𝕜₂] [NontriviallyNormedField 𝕜₃]
   [NontriviallyNormedField 𝕜₄] [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜₃ G] [Module 𝕜₄ H]
   [TopologicalSpace E] [TopologicalSpace F] [TopologicalSpace G] [TopologicalSpace H]
@@ -338,7 +338,7 @@ end Semilinear
 
 section Linear
 
-variable {𝕜 : Type _} {E : Type _} {F : Type _} {G : Type _} {H : Type _} [AddCommGroup E]
+variable {𝕜 : Type*} {E : Type*} {F : Type*} {G : Type*} {H : Type*} [AddCommGroup E]
   [AddCommGroup F] [AddCommGroup G] [AddCommGroup H] [NontriviallyNormedField 𝕜] [Module 𝕜 E]
   [Module 𝕜 F] [Module 𝕜 G] [Module 𝕜 H] [TopologicalSpace E] [TopologicalSpace F]
   [TopologicalSpace G] [TopologicalSpace H] [TopologicalAddGroup G] [TopologicalAddGroup H]

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Algebra.UniformConvergence
 
+#align_import topology.algebra.module.strong_topology from "leanprover-community/mathlib"@"8905e5ed90859939681a725b00f6063e65096d95"
+
 /-!
 # Strong topologies on the space of continuous linear maps

feat: forward port leanprover-community/mathlib#19128 (#5791)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

63e0da05

Diff

@@ -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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
+! leanprover-community/mathlib commit 8905e5ed90859939681a725b00f6063e65096d95
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -179,9 +179,10 @@ end General
 
 section BoundedSets
 
-variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] {σ : 𝕜₁ →+* 𝕜₂} {E E' F F' : Type _}
-  [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
-  [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E]
+variable {𝕜₁ 𝕜₂ 𝕜₃ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂] [NormedField 𝕜₃] {σ : 𝕜₁ →+* 𝕜₂}
+  {τ : 𝕜₂ →+* 𝕜₃} {ρ : 𝕜₁ →+* 𝕜₃} [RingHomCompTriple σ τ ρ] {E E' F F' G : Type _} [AddCommGroup E]
+  [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F] [AddCommGroup F']
+  [Module ℝ F'] [AddCommGroup G] [Module 𝕜₃ G] [TopologicalSpace E]
 
 /-- The topology of bounded convergence on `E →L[𝕜] F`. This coincides with the topology induced by
 the operator norm when `E` and `F` are normed spaces. -/
@@ -227,6 +228,51 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
   ContinuousLinearMap.hasBasis_nhds_zero_of_basis (𝓝 0).basis_sets
 #align continuous_linear_map.has_basis_nhds_zero ContinuousLinearMap.hasBasis_nhds_zero
 
+variable (G) [TopologicalSpace F] [TopologicalSpace G]
+
+/-- Pre-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps]
+def precomp [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G] [RingHomSurjective σ]
+    [RingHomIsometric σ] (L : E →SL[σ] F) : (F →SL[τ] G) →L[𝕜₃] E →SL[ρ] G
+    where
+  toFun f := f.comp L
+  map_add' f g := add_comp f g L
+  map_smul' a f := smul_comp a f L
+  cont := by
+    letI : UniformSpace G := TopologicalAddGroup.toUniformSpace G
+    haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
+    rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
+    -- Porting note: without this, the following doesn't work
+    change Continuous ((λ f ↦ UniformOnFun.ofFun _ (f ∘ L)) ∘ FunLike.coe)
+    exact (UniformOnFun.precomp_uniformContinuous fun S hS => hS.image L).continuous.comp
+        (strongTopology.embedding_coeFn _ _ _).continuous
+#align continuous_linear_map.precomp ContinuousLinearMap.precomp
+
+variable (E) {G}
+
+/-- Post-composition by a *fixed* continuous linear map as a continuous linear map.
+Note that in non-normed space it is not always true that composition is continuous
+in both variables, so we have to fix one of them. -/
+@[simps]
+def postcomp [TopologicalAddGroup F] [TopologicalAddGroup G] [ContinuousConstSMul 𝕜₃ G]
+    [ContinuousConstSMul 𝕜₂ F] (L : F →SL[τ] G) : (E →SL[σ] F) →SL[τ] E →SL[ρ] G
+    where
+  toFun f := L.comp f
+  map_add' := comp_add L
+  map_smul' := comp_smulₛₗ L
+  cont := by
+    letI : UniformSpace G := TopologicalAddGroup.toUniformSpace G
+    haveI : UniformAddGroup G := comm_topologicalAddGroup_is_uniform
+    letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
+    haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
+    rw [(strongTopology.embedding_coeFn _ _ _).continuous_iff]
+    exact
+      (UniformOnFun.postcomp_uniformContinuous L.uniformContinuous).continuous.comp
+        (strongTopology.embedding_coeFn _ _ _).continuous
+#align continuous_linear_map.postcomp ContinuousLinearMap.postcomp
+
 end BoundedSets
 
 end ContinuousLinearMap
@@ -247,56 +293,49 @@ variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _
   {σ₃₄ : 𝕜₃ →+* 𝕜₄} {σ₄₃ : 𝕜₄ →+* 𝕜₃} {σ₂₄ : 𝕜₂ →+* 𝕜₄} {σ₁₄ : 𝕜 →+* 𝕜₄} [RingHomInvPair σ₁₂ σ₂₁]
   [RingHomInvPair σ₂₁ σ₁₂] [RingHomInvPair σ₃₄ σ₄₃] [RingHomInvPair σ₄₃ σ₃₄]
   [RingHomCompTriple σ₂₁ σ₁₄ σ₂₄] [RingHomCompTriple σ₂₄ σ₄₃ σ₂₃] [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
-  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄]
+  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄] [RingHomCompTriple σ₂₃ σ₃₄ σ₂₄] [RingHomCompTriple σ₁₂ σ₂₄ σ₁₄]
+  [RingHomIsometric σ₁₂] [RingHomIsometric σ₂₁]
 
 /-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
 spaces of continuous (semi)linear maps. -/
 @[simps]
-def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G :=
-  { e₁₂.arrowCongrEquiv e₄₃ with
+def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+    (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
+{ e₁₂.arrowCongrEquiv e₄₃ with
     -- given explicitly to help `simps`
     toFun := fun L => (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E))
     -- given explicitly to help `simps`
     invFun := fun L => (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F))
     map_add' := fun f g => by simp only [add_comp, comp_add]
-    map_smul' := fun t f => by simp only [smul_comp, comp_smulₛₗ] }
-#align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
-#align continuous_linear_equiv.arrow_congrₛₗ_apply ContinuousLinearEquiv.arrowCongrₛₗ_apply
-#align continuous_linear_equiv.arrow_congrₛₗ_symm_apply ContinuousLinearEquiv.arrowCongrₛₗ_symm_apply
-
-variable [RingHomIsometric σ₂₁]
-
-theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
-    Continuous (id (e₁₂.arrowCongrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G)) := by
-  apply continuous_of_continuousAt_zero
-  show Filter.Tendsto _ _ _
-  simp_rw [(arrowCongrₛₗ e₁₂ e₄₃).map_zero]
-  rw [ContinuousLinearMap.hasBasis_nhds_zero.tendsto_iff ContinuousLinearMap.hasBasis_nhds_zero]
-  rintro ⟨sF, sG⟩ ⟨h1 : Bornology.IsVonNBounded 𝕜₂ sF, h2 : sG ∈ nhds (0 : G)⟩
-  dsimp
-  refine' ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩, fun _ h _ hx =>
-    h _ (Set.mem_image_of_mem _ hx)⟩
-  apply e₄₃.continuous.continuousAt
-  simpa using h2
-#align continuous_linear_equiv.arrow_congrₛₗ_continuous ContinuousLinearEquiv.arrowCongrₛₗ_continuous
-
-variable [RingHomIsometric σ₁₂]
-
-/-- A pair of continuous (semi)linear equivalences generates a continuous (semi)linear equivalence
-between the spaces of continuous (semi)linear maps. -/
-@[simps! apply symm_apply toLinearEquiv]
-def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
-  { e₁₂.arrowCongrₛₗ e₄₃ with
-    continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
-    continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
+    map_smul' := fun t f => by simp only [smul_comp, comp_smulₛₗ]
+    continuous_toFun := ((postcomp F e₄₃.toContinuousLinearMap).comp
+      (precomp H e₁₂.symm.toContinuousLinearMap)).continuous
+    continuous_invFun := ((precomp H e₁₂.toContinuousLinearMap).comp
+      (postcomp F e₄₃.symm.toContinuousLinearMap)).continuous }
 set_option linter.uppercaseLean3 false in
 #align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
 set_option linter.uppercaseLean3 false in
 #align continuous_linear_equiv.arrow_congrSL_apply ContinuousLinearEquiv.arrowCongrSL_apply
 set_option linter.uppercaseLean3 false in
 #align continuous_linear_equiv.arrow_congrSL_symm_apply ContinuousLinearEquiv.arrowCongrSL_symm_apply
+
+-- Porting note: the following two lemmas were autogenerated by `simps` in Lean3, but this is
+-- no longer the case. The first one can already be proven by `simp`, but the second can't.
+
+theorem arrowCongrSL_toLinearEquiv_apply (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G)
+    (L : E →SL[σ₁₄] H) : (e₁₂.arrowCongrSL e₄₃).toLinearEquiv L =
+      (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E)) :=
+  rfl
+set_option linter.uppercaseLean3 false in
+#align continuous_linear_equiv.arrow_congrSL_to_linear_equiv_apply ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv_apply
+
+@[simp]
+theorem arrowCongrSL_toLinearEquiv_symm_apply (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G)
+    (L : F →SL[σ₂₃] G) : (e₁₂.arrowCongrSL e₄₃).toLinearEquiv.symm L =
+      (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F)) :=
+  rfl
 set_option linter.uppercaseLean3 false in
-#align continuous_linear_equiv.arrow_congrSL_to_linear_equiv ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv
+#align continuous_linear_equiv.arrow_congrSL_to_linear_equiv_symm_apply ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv_symm_apply
 
 end Semilinear

feat: port Topology.VectorBundle.Hom (#4514)

ce6df01c

Diff

@@ -59,7 +59,7 @@ uniform convergence, bounded convergence
 -/
 
 
-open Topology UniformConvergence
+open scoped Topology UniformConvergence
 
 namespace ContinuousLinearMap
 
@@ -261,6 +261,8 @@ def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃
     map_add' := fun f g => by simp only [add_comp, comp_add]
     map_smul' := fun t f => by simp only [smul_comp, comp_smulₛₗ] }
 #align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
+#align continuous_linear_equiv.arrow_congrₛₗ_apply ContinuousLinearEquiv.arrowCongrₛₗ_apply
+#align continuous_linear_equiv.arrow_congrₛₗ_symm_apply ContinuousLinearEquiv.arrowCongrₛₗ_symm_apply
 
 variable [RingHomIsometric σ₂₁]
 
@@ -282,13 +284,19 @@ variable [RingHomIsometric σ₁₂]
 
 /-- A pair of continuous (semi)linear equivalences generates a continuous (semi)linear equivalence
 between the spaces of continuous (semi)linear maps. -/
-@[simps!]
+@[simps! apply symm_apply toLinearEquiv]
 def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
   { e₁₂.arrowCongrₛₗ e₄₃ with
     continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
     continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
 set_option linter.uppercaseLean3 false in
 #align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
+set_option linter.uppercaseLean3 false in
+#align continuous_linear_equiv.arrow_congrSL_apply ContinuousLinearEquiv.arrowCongrSL_apply
+set_option linter.uppercaseLean3 false in
+#align continuous_linear_equiv.arrow_congrSL_symm_apply ContinuousLinearEquiv.arrowCongrSL_symm_apply
+set_option linter.uppercaseLean3 false in
+#align continuous_linear_equiv.arrow_congrSL_to_linear_equiv ContinuousLinearEquiv.arrowCongrSL_toLinearEquiv
 
 end Semilinear

chore: fix grammar 3/3 (#5003)

Part 3 of #5001

df58f20b

Diff

@@ -280,7 +280,7 @@ theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H
 
 variable [RingHomIsometric σ₁₂]
 
-/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
+/-- A pair of continuous (semi)linear equivalences generates a continuous (semi)linear equivalence
 between the spaces of continuous (semi)linear maps. -/
 @[simps!]
 def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
@@ -300,7 +300,7 @@ variable {𝕜 : Type _} {E : Type _} {F : Type _} {G : Type _} {H : Type _} [Ad
   [TopologicalSpace G] [TopologicalSpace H] [TopologicalAddGroup G] [TopologicalAddGroup H]
   [ContinuousConstSMul 𝕜 G] [ContinuousConstSMul 𝕜 H]
 
-/-- A pair of continuous linear equivalences generates an continuous linear equivalence between
+/-- A pair of continuous linear equivalences generates a continuous linear equivalence between
 the spaces of continuous linear maps. -/
 def arrowCongr (e₁ : E ≃L[𝕜] F) (e₂ : H ≃L[𝕜] G) : (E →L[𝕜] H) ≃L[𝕜] F →L[𝕜] G :=
   e₁.arrowCongrSL e₂

feat: forward-port 19107 (#4470)

Forward-port leanprover-community/mathlib#19107

5519d19e

Diff

@@ -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 topology.algebra.module.strong_topology
-! leanprover-community/mathlib commit b8627dbac120a9ad6267a75575ae1e070d5bff5b
+! leanprover-community/mathlib commit f7ebde7ee0d1505dfccac8644ae12371aa3c1c9f
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -230,3 +230,82 @@ protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F
 end BoundedSets
 
 end ContinuousLinearMap
+
+open ContinuousLinearMap
+
+namespace ContinuousLinearEquiv
+
+section Semilinear
+
+variable {𝕜 : Type _} {𝕜₂ : Type _} {𝕜₃ : Type _} {𝕜₄ : Type _} {E : Type _} {F : Type _}
+  {G : Type _} {H : Type _} [AddCommGroup E] [AddCommGroup F] [AddCommGroup G] [AddCommGroup H]
+  [NontriviallyNormedField 𝕜] [NontriviallyNormedField 𝕜₂] [NontriviallyNormedField 𝕜₃]
+  [NontriviallyNormedField 𝕜₄] [Module 𝕜 E] [Module 𝕜₂ F] [Module 𝕜₃ G] [Module 𝕜₄ H]
+  [TopologicalSpace E] [TopologicalSpace F] [TopologicalSpace G] [TopologicalSpace H]
+  [TopologicalAddGroup G] [TopologicalAddGroup H] [ContinuousConstSMul 𝕜₃ G]
+  [ContinuousConstSMul 𝕜₄ H] {σ₁₂ : 𝕜 →+* 𝕜₂} {σ₂₁ : 𝕜₂ →+* 𝕜} {σ₂₃ : 𝕜₂ →+* 𝕜₃} {σ₁₃ : 𝕜 →+* 𝕜₃}
+  {σ₃₄ : 𝕜₃ →+* 𝕜₄} {σ₄₃ : 𝕜₄ →+* 𝕜₃} {σ₂₄ : 𝕜₂ →+* 𝕜₄} {σ₁₄ : 𝕜 →+* 𝕜₄} [RingHomInvPair σ₁₂ σ₂₁]
+  [RingHomInvPair σ₂₁ σ₁₂] [RingHomInvPair σ₃₄ σ₄₃] [RingHomInvPair σ₄₃ σ₃₄]
+  [RingHomCompTriple σ₂₁ σ₁₄ σ₂₄] [RingHomCompTriple σ₂₄ σ₄₃ σ₂₃] [RingHomCompTriple σ₁₂ σ₂₃ σ₁₃]
+  [RingHomCompTriple σ₁₃ σ₃₄ σ₁₄]
+
+/-- A pair of continuous (semi)linear equivalences generates a (semi)linear equivalence between the
+spaces of continuous (semi)linear maps. -/
+@[simps]
+def arrowCongrₛₗ (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G :=
+  { e₁₂.arrowCongrEquiv e₄₃ with
+    -- given explicitly to help `simps`
+    toFun := fun L => (e₄₃ : H →SL[σ₄₃] G).comp (L.comp (e₁₂.symm : F →SL[σ₂₁] E))
+    -- given explicitly to help `simps`
+    invFun := fun L => (e₄₃.symm : G →SL[σ₃₄] H).comp (L.comp (e₁₂ : E →SL[σ₁₂] F))
+    map_add' := fun f g => by simp only [add_comp, comp_add]
+    map_smul' := fun t f => by simp only [smul_comp, comp_smulₛₗ] }
+#align continuous_linear_equiv.arrow_congrₛₗ ContinuousLinearEquiv.arrowCongrₛₗ
+
+variable [RingHomIsometric σ₂₁]
+
+theorem arrowCongrₛₗ_continuous (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) :
+    Continuous (id (e₁₂.arrowCongrₛₗ e₄₃ : (E →SL[σ₁₄] H) ≃ₛₗ[σ₄₃] F →SL[σ₂₃] G)) := by
+  apply continuous_of_continuousAt_zero
+  show Filter.Tendsto _ _ _
+  simp_rw [(arrowCongrₛₗ e₁₂ e₄₃).map_zero]
+  rw [ContinuousLinearMap.hasBasis_nhds_zero.tendsto_iff ContinuousLinearMap.hasBasis_nhds_zero]
+  rintro ⟨sF, sG⟩ ⟨h1 : Bornology.IsVonNBounded 𝕜₂ sF, h2 : sG ∈ nhds (0 : G)⟩
+  dsimp
+  refine' ⟨(e₁₂.symm '' sF, e₄₃ ⁻¹' sG), ⟨h1.image (e₁₂.symm : F →SL[σ₂₁] E), _⟩, fun _ h _ hx =>
+    h _ (Set.mem_image_of_mem _ hx)⟩
+  apply e₄₃.continuous.continuousAt
+  simpa using h2
+#align continuous_linear_equiv.arrow_congrₛₗ_continuous ContinuousLinearEquiv.arrowCongrₛₗ_continuous
+
+variable [RingHomIsometric σ₁₂]
+
+/-- A pair of continuous (semi)linear equivalences generates an continuous (semi)linear equivalence
+between the spaces of continuous (semi)linear maps. -/
+@[simps!]
+def arrowCongrSL (e₁₂ : E ≃SL[σ₁₂] F) (e₄₃ : H ≃SL[σ₄₃] G) : (E →SL[σ₁₄] H) ≃SL[σ₄₃] F →SL[σ₂₃] G :=
+  { e₁₂.arrowCongrₛₗ e₄₃ with
+    continuous_toFun := e₁₂.arrowCongrₛₗ_continuous e₄₃
+    continuous_invFun := e₁₂.symm.arrowCongrₛₗ_continuous e₄₃.symm }
+set_option linter.uppercaseLean3 false in
+#align continuous_linear_equiv.arrow_congrSL ContinuousLinearEquiv.arrowCongrSL
+
+end Semilinear
+
+section Linear
+
+variable {𝕜 : Type _} {E : Type _} {F : Type _} {G : Type _} {H : Type _} [AddCommGroup E]
+  [AddCommGroup F] [AddCommGroup G] [AddCommGroup H] [NontriviallyNormedField 𝕜] [Module 𝕜 E]
+  [Module 𝕜 F] [Module 𝕜 G] [Module 𝕜 H] [TopologicalSpace E] [TopologicalSpace F]
+  [TopologicalSpace G] [TopologicalSpace H] [TopologicalAddGroup G] [TopologicalAddGroup H]
+  [ContinuousConstSMul 𝕜 G] [ContinuousConstSMul 𝕜 H]
+
+/-- A pair of continuous linear equivalences generates an continuous linear equivalence between
+the spaces of continuous linear maps. -/
+def arrowCongr (e₁ : E ≃L[𝕜] F) (e₂ : H ≃L[𝕜] G) : (E →L[𝕜] H) ≃L[𝕜] F →L[𝕜] G :=
+  e₁.arrowCongrSL e₂
+#align continuous_linear_equiv.arrow_congr ContinuousLinearEquiv.arrowCongr
+
+end Linear
+
+end ContinuousLinearEquiv

chore: fix upper/lowercase in comments (#4360)

Run a non-interactive version of fix-comments.py on all files.
Go through the diff and manually add/discard/edit chunks.

27d257fc

Diff

@@ -160,7 +160,7 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
       fun Si => { f : E →SL[σ] F | ∀ x ∈ Si.1, f x ∈ b Si.2 } := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
-  -- Porting note: replace `nhds_induced` by `inducing.nhds_eq_comap` (which needs an additional
+  -- Porting note: replace `nhds_induced` by `Inducing.nhds_eq_comap` (which needs an additional
   -- `letI`) so that Lean doesn't try to use the product topology
   letI : TopologicalSpace (E →SL[σ] F) := strongTopology σ F 𝔖
   rw [(strongTopology.embedding_coeFn σ F 𝔖).toInducing.nhds_eq_comap]

feat: port Analysis.NormedSpace.OperatorNorm (#3903)

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com> Co-authored-by: Arien Malec <arien.malec@gmail.com> Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Mauricio Collares <mauricio@collares.org> Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

9ab40165

Diff

@@ -199,10 +199,10 @@ instance continuousSMul [RingHomSurjective σ] [RingHomIsometric σ] [Topologica
     ⟨∅, Bornology.isVonNBounded_empty 𝕜₁ E⟩
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) fun _ hs => hs
 
-instance [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
+instance uniformSpace [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
   strongUniformity σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
 
-instance [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
+instance uniformAddGroup [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
   strongUniformity.uniformAddGroup σ F _
 
 instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E] [T2Space F] :

chore: reenable eta, bump to nightly 2023-05-16 (#3414)

Now that leanprover/lean4#2210 has been merged, this PR:

removes all the set_option synthInstance.etaExperiment true commands (and some etaExperiment% term elaborators)
removes many but not quite all set_option maxHeartbeats commands
makes various other changes required to cope with leanprover/lean4#2210.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email>

a6e1045f

Diff

@@ -69,7 +69,6 @@ variable {𝕜₁ 𝕜₂ : Type _} [NormedField 𝕜₁] [NormedField 𝕜₂]
   [AddCommGroup E] [Module 𝕜₁ E] [AddCommGroup E'] [Module ℝ E'] [AddCommGroup F] [Module 𝕜₂ F]
   [AddCommGroup F'] [Module ℝ F'] [TopologicalSpace E] [TopologicalSpace E'] (F)
 
-set_option synthInstance.etaExperiment true in
 /-- Given `E` and `F` two topological vector spaces and `𝔖 : Set (Set E)`, then
 `strongTopology σ F 𝔖` is the "topology of uniform convergence on the elements of `𝔖`" on
 `E →L[𝕜] F`.
@@ -82,7 +81,6 @@ def strongTopology [TopologicalSpace F] [TopologicalAddGroup F] (𝔖 : Set (Set
     (FunLike.coe : (E →SL[σ] F) → (E →ᵤ[𝔖] F))
 #align continuous_linear_map.strong_topology ContinuousLinearMap.strongTopology
 
-set_option synthInstance.etaExperiment true in
 /-- The uniform structure associated with `ContinuousLinearMap.strongTopology`. We make sure
 that this has nice definitional properties. -/
 def strongUniformity [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
@@ -98,7 +96,6 @@ theorem strongUniformity_topology_eq [UniformSpace F] [UniformAddGroup F] (𝔖
   rfl
 #align continuous_linear_map.strong_uniformity_topology_eq ContinuousLinearMap.strongUniformity_topology_eq
 
-set_option synthInstance.etaExperiment true in
 theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGroup F]
     (𝔖 : Set (Set E)) :
     @UniformEmbedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongUniformity σ F 𝔖)
@@ -107,14 +104,12 @@ theorem strongUniformity.uniformEmbedding_coeFn [UniformSpace F] [UniformAddGrou
   ⟨⟨rfl⟩, FunLike.coe_injective⟩
 #align continuous_linear_map.strong_uniformity.uniform_embedding_coe_fn ContinuousLinearMap.strongUniformity.uniformEmbedding_coeFn
 
-set_option synthInstance.etaExperiment true in
 theorem strongTopology.embedding_coeFn [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @Embedding (E →SL[σ] F) (E →ᵤ[𝔖] F) (strongTopology σ F 𝔖)
     (UniformOnFun.topologicalSpace E F 𝔖) (UniformOnFun.ofFun 𝔖 ∘ FunLike.coe) :=
   @UniformEmbedding.embedding _ _ (_root_.id _) _ _ (strongUniformity.uniformEmbedding_coeFn _ _ _)
 #align continuous_linear_map.strong_topology.embedding_coe_fn ContinuousLinearMap.strongTopology.embedding_coeFn
 
-set_option synthInstance.etaExperiment true in
 theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (𝔖 : Set (Set E)) :
     @UniformAddGroup (E →SL[σ] F) (strongUniformity σ F 𝔖) _ := by
   letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
@@ -124,16 +119,13 @@ theorem strongUniformity.uniformAddGroup [UniformSpace F] [UniformAddGroup F] (
   exact uniformAddGroup_comap φ
 #align continuous_linear_map.strong_uniformity.uniform_add_group ContinuousLinearMap.strongUniformity.uniformAddGroup
 
-set_option synthInstance.etaExperiment true in
 theorem strongTopology.topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) : @TopologicalAddGroup (E →SL[σ] F) (strongTopology σ F 𝔖) _ := by
   letI : UniformSpace F := TopologicalAddGroup.toUniformSpace F
   haveI : UniformAddGroup F := comm_topologicalAddGroup_is_uniform
   letI : UniformSpace (E →SL[σ] F) := strongUniformity σ F 𝔖
   haveI : UniformAddGroup (E →SL[σ] F) := strongUniformity.uniformAddGroup σ F 𝔖
-  -- Porting note: this type inference is slow, so instead we provide the answer:
-  -- set_option synthInstance.maxHeartbeats 80000 in exact inferInstance
-  exact UniformAddGroup.to_topologicalAddGroup
+  infer_instance
 #align continuous_linear_map.strong_topology.topological_add_group ContinuousLinearMap.strongTopology.topologicalAddGroup
 
 theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2Space F]
@@ -145,7 +137,6 @@ theorem strongTopology.t2Space [TopologicalSpace F] [TopologicalAddGroup F] [T2S
   exact (strongTopology.embedding_coeFn σ F 𝔖).t2Space
 #align continuous_linear_map.strong_topology.t2_space ContinuousLinearMap.strongTopology.t2Space
 
-set_option synthInstance.etaExperiment true in
 theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric σ]
     [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] (𝔖 : Set (Set E))
     (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖)
@@ -161,7 +152,6 @@ theorem strongTopology.continuousSMul [RingHomSurjective σ] [RingHomIsometric 
       fun u s hs => (h𝔖₃ s hs).image u
 #align continuous_linear_map.strong_topology.has_continuous_smul ContinuousLinearMap.strongTopology.continuousSMul
 
-set_option synthInstance.etaExperiment true in
 theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) {p : ι → Prop}
     {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
@@ -177,7 +167,6 @@ theorem strongTopology.hasBasis_nhds_zero_of_basis [TopologicalSpace F] [Topolog
   exact (UniformOnFun.hasBasis_nhds_zero_of_basis 𝔖 h𝔖₁ h𝔖₂ h).comap FunLike.coe
 #align continuous_linear_map.strong_topology.has_basis_nhds_zero_of_basis ContinuousLinearMap.strongTopology.hasBasis_nhds_zero_of_basis
 
-set_option synthInstance.etaExperiment true in
 theorem strongTopology.hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F]
     (𝔖 : Set (Set E)) (h𝔖₁ : 𝔖.Nonempty) (h𝔖₂ : DirectedOn (· ⊆ ·) 𝔖) :
     (@nhds (E →SL[σ] F) (strongTopology σ F 𝔖) 0).HasBasis
@@ -200,12 +189,10 @@ instance topologicalSpace [TopologicalSpace F] [TopologicalAddGroup F] :
     TopologicalSpace (E →SL[σ] F) :=
   strongTopology σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
 
-set_option synthInstance.etaExperiment true in
 instance topologicalAddGroup [TopologicalSpace F] [TopologicalAddGroup F] :
     TopologicalAddGroup (E →SL[σ] F) :=
   strongTopology.topologicalAddGroup σ F _
 
-set_option synthInstance.etaExperiment true in
 instance continuousSMul [RingHomSurjective σ] [RingHomIsometric σ] [TopologicalSpace F]
     [TopologicalAddGroup F] [ContinuousSMul 𝕜₂ F] : ContinuousSMul 𝕜₂ (E →SL[σ] F) :=
   strongTopology.continuousSMul σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
@@ -215,7 +202,6 @@ instance continuousSMul [RingHomSurjective σ] [RingHomIsometric σ] [Topologica
 instance [UniformSpace F] [UniformAddGroup F] : UniformSpace (E →SL[σ] F) :=
   strongUniformity σ F { S | Bornology.IsVonNBounded 𝕜₁ S }
 
-set_option synthInstance.etaExperiment true in
 instance [UniformSpace F] [UniformAddGroup F] : UniformAddGroup (E →SL[σ] F) :=
   strongUniformity.uniformAddGroup σ F _
 
@@ -225,7 +211,6 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     (Set.eq_univ_of_forall fun x =>
       Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
-set_option synthInstance.etaExperiment true in
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]
     {ι : Type _} {p : ι → Prop} {b : ι → Set F} (h : (𝓝 0 : Filter F).HasBasis p b) :
     (𝓝 (0 : E →SL[σ] F)).HasBasis (fun Si : Set E × ι => Bornology.IsVonNBounded 𝕜₁ Si.1 ∧ p Si.2)
@@ -235,7 +220,6 @@ protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalA
     (directedOn_of_sup_mem fun _ _ => Bornology.IsVonNBounded.union) h
 #align continuous_linear_map.has_basis_nhds_zero_of_basis ContinuousLinearMap.hasBasis_nhds_zero_of_basis
 
-set_option synthInstance.etaExperiment true in
 protected theorem hasBasis_nhds_zero [TopologicalSpace F] [TopologicalAddGroup F] :
     (𝓝 (0 : E →SL[σ] F)).HasBasis
       (fun SV : Set E × Set F => Bornology.IsVonNBounded 𝕜₁ SV.1 ∧ SV.2 ∈ (𝓝 0 : Filter F))

chore: Rename to sSup/iSup (#3938)

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>

d1eb6264

Diff

@@ -223,7 +223,7 @@ instance [TopologicalSpace F] [TopologicalAddGroup F] [ContinuousSMul 𝕜₁ E]
     T2Space (E →SL[σ] F) :=
   strongTopology.t2Space σ F _
     (Set.eq_univ_of_forall fun x =>
-      Set.mem_unionₛ_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
+      Set.mem_sUnion_of_mem (Set.mem_singleton x) (Bornology.isVonNBounded_singleton x))
 
 set_option synthInstance.etaExperiment true in
 protected theorem hasBasis_nhds_zero_of_basis [TopologicalSpace F] [TopologicalAddGroup F]