topology.algebra.uniform_ring ⟷ Mathlib.Topology.Algebra.UniformRing

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

@@ -154,7 +154,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
 
 #print UniformSpace.Completion.extensionHom /-
 /-- The completion extension as a ring morphism. -/
-def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
+def extensionHom [CompleteSpace β] [T0Space β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
   -- helping the elaborator
   have hf : UniformContinuous f := uniformContinuous_addMonoidHom_of_continuous hf'
@@ -255,42 +255,42 @@ namespace UniformSpace
 
 variable {α : Type _}
 
-#print UniformSpace.ring_sep_rel /-
-theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
+#print UniformSpace.inseparableSetoid_ring /-
+theorem inseparableSetoid_ring (α) [CommRing α] [UniformSpace α] [UniformAddGroup α]
+    [TopologicalRing α] : inseparableSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
-    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
-#align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
+    (addGroup_inseparable_iff x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
+#align uniform_space.ring_sep_rel UniformSpace.inseparableSetoid_ring
 -/
 
 #print UniformSpace.ring_sep_quot /-
 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
-    [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
+    [TopologicalRing α] : Quotient (inseparableSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
   rw [@ring_sep_rel α r] <;> rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 -/
 
-#print UniformSpace.sepQuotEquivRingQuot /-
+#print UniformSpace.sepQuotHomeomorphRingQuot /-
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/
-def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
-    [TopologicalRing α] : Quotient (separationSetoid α) ≃ α ⧸ (⊥ : Ideal α).closure :=
+def sepQuotHomeomorphRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
+    [TopologicalRing α] : Quotient (inseparableSetoid α) ≃ α ⧸ (⊥ : Ideal α).closure :=
   Quotient.congrRight fun x y =>
-    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
-#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
+    (addGroup_inseparable_iff x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
+#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotHomeomorphRingQuot
 -/
 
 #print UniformSpace.commRing /-
 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
 instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    CommRing (Quotient (separationSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
+    CommRing (Quotient (inseparableSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
 #align uniform_space.comm_ring UniformSpace.commRing
 -/
 
 #print UniformSpace.topologicalRing /-
 instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    TopologicalRing (Quotient (separationSetoid α)) :=
+    TopologicalRing (Quotient (inseparableSetoid α)) :=
   by
   convert topologicalRing_quotient (⊥ : Ideal α).closure <;> try apply ring_sep_rel
   simp [UniformSpace.commRing]

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

@@ -3,9 +3,9 @@ Copyright (c) 2018 Patrick Massot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
 -/
-import Mathbin.Algebra.Algebra.Basic
-import Mathbin.Topology.Algebra.GroupCompletion
-import Mathbin.Topology.Algebra.Ring.Ideal
+import Algebra.Algebra.Basic
+import Topology.Algebra.GroupCompletion
+import Topology.Algebra.Ring.Ideal
 
 #align_import topology.algebra.uniform_ring from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
 

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

@@ -182,7 +182,7 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
 instance topologicalRing : TopologicalRing (Completion α)
     where
   continuous_add := continuous_add
-  continuous_mul := continuous_mul
+  continuous_hMul := continuous_mul
 #align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRing
 -/
 

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

@@ -2,16 +2,13 @@
 Copyright (c) 2018 Patrick Massot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
-
-! This file was ported from Lean 3 source module topology.algebra.uniform_ring
-! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Basic
 import Mathbin.Topology.Algebra.GroupCompletion
 import Mathbin.Topology.Algebra.Ring.Ideal
 
+#align_import topology.algebra.uniform_ring from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
+
 /-!
 # Completion of topological rings:
 

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

@@ -61,21 +61,26 @@ instance : One (Completion α) :=
 instance : Mul (Completion α) :=
   ⟨curry <| (denseInducing_coe.Prod denseInducing_coe).extend (coe ∘ uncurry (· * ·))⟩
 
+#print UniformSpace.Completion.coe_one /-
 @[norm_cast]
 theorem coe_one : ((1 : α) : Completion α) = 1 :=
   rfl
 #align uniform_space.completion.coe_one UniformSpace.Completion.coe_one
+-/
 
 variable {α} [TopologicalRing α]
 
+#print UniformSpace.Completion.coe_mul /-
 @[norm_cast]
 theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
   ((denseInducing_coe.Prod denseInducing_coe).extend_eq
       ((continuous_coe α).comp (@continuous_mul α _ _ _)) (a, b)).symm
 #align uniform_space.completion.coe_mul UniformSpace.Completion.coe_mul
+-/
 
 variable [UniformAddGroup α]
 
+#print UniformSpace.Completion.continuous_mul /-
 theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.1 * p.2 :=
   by
   let m := (AddMonoidHom.mul : α →+ α →+ α).compr₂ to_compl
@@ -85,11 +90,14 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
   ext ⟨x, y⟩
   rfl
 #align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mul
+-/
 
+#print UniformSpace.Completion.Continuous.mul /-
 theorem Continuous.mul {β : Type _} [TopologicalSpace β] {f g : β → Completion α}
     (hf : Continuous f) (hg : Continuous g) : Continuous fun b => f b * g b :=
   continuous_mul.comp (hf.prod_mk hg : _)
 #align uniform_space.completion.continuous.mul UniformSpace.Completion.Continuous.mul
+-/
 
 instance : Ring (Completion α) :=
   { AddMonoidWithOne.unary, Completion.addCommGroup, Completion.hasMul α,
@@ -131,18 +139,23 @@ instance : Ring (Completion α) :=
               (continuous_snd.comp continuous_snd))))
         fun a b c => by rw [← coe_add, ← coe_mul, ← coe_mul, ← coe_mul, ← coe_add, add_mul] }
 
+#print UniformSpace.Completion.coeRingHom /-
 /-- The map from a uniform ring to its completion, as a ring homomorphism. -/
 def coeRingHom : α →+* Completion α :=
   ⟨coe, coe_one α, fun a b => coe_mul a b, coe_zero, fun a b => coe_add a b⟩
 #align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHom
+-/
 
+#print UniformSpace.Completion.continuous_coeRingHom /-
 theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :=
   continuous_coe α
 #align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHom
+-/
 
 variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [TopologicalRing β]
   (f : α →+* β) (hf : Continuous f)
 
+#print UniformSpace.Completion.extensionHom /-
 /-- The completion extension as a ring morphism. -/
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
@@ -166,23 +179,29 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
         fun a b => by
         rw [← coe_mul, extension_coe hf, extension_coe hf, extension_coe hf, f.map_mul] }
 #align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHom
+-/
 
+#print UniformSpace.Completion.topologicalRing /-
 instance topologicalRing : TopologicalRing (Completion α)
     where
   continuous_add := continuous_add
   continuous_mul := continuous_mul
 #align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRing
+-/
 
+#print UniformSpace.Completion.mapRingHom /-
 /-- The completion map as a ring morphism. -/
 def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
   extensionHom (coeRingHom.comp f) (continuous_coeRingHom.comp hf)
 #align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHom
+-/
 
 section Algebra
 
 variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type _)
   [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
+#print UniformSpace.Completion.map_smul_eq_mul_coe /-
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
     Completion.map ((· • ·) r) = (· * ·) (algebraMap R A r : Completion A) :=
@@ -192,6 +211,7 @@ theorem map_smul_eq_mul_coe (r : R) :
   · exact isClosed_eq completion.continuous_map (continuous_mul_left _)
   · rw [map_coe (uniform_continuous_const_smul r) a, Algebra.smul_def, coe_mul]
 #align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coe
+-/
 
 instance : Algebra R (Completion A) :=
   {
@@ -204,10 +224,12 @@ instance : Algebra R (Completion A) :=
         simpa only [coe_mul] using congr_arg (coe : A → completion A) (Algebra.commutes r a)
     smul_def' := fun r x => congr_fun (map_smul_eq_mul_coe A R r) x }
 
+#print UniformSpace.Completion.algebraMap_def /-
 theorem algebraMap_def (r : R) :
     algebraMap R (Completion A) r = (algebraMap R A r : Completion A) :=
   rfl
 #align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_def
+-/
 
 end Algebra
 
@@ -222,9 +244,11 @@ instance : CommRing (Completion R) :=
         (isClosed_eq (continuous_fst.mul continuous_snd) (continuous_snd.mul continuous_fst))
         fun a b => by rw [← coe_mul, ← coe_mul, mul_comm] }
 
+#print UniformSpace.Completion.algebra' /-
 /-- A shortcut instance for the common case -/
 instance algebra' : Algebra R (Completion R) := by infer_instance
 #align uniform_space.completion.algebra' UniformSpace.Completion.algebra'
+-/
 
 end CommRing
 
@@ -234,17 +258,22 @@ namespace UniformSpace
 
 variable {α : Type _}
 
+#print UniformSpace.ring_sep_rel /-
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
+-/
 
+#print UniformSpace.ring_sep_quot /-
 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
     [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
   rw [@ring_sep_rel α r] <;> rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
+-/
 
+#print UniformSpace.sepQuotEquivRingQuot /-
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/
@@ -253,18 +282,23 @@ def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGro
   Quotient.congrRight fun x y =>
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
+-/
 
+#print UniformSpace.commRing /-
 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
 instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     CommRing (Quotient (separationSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
 #align uniform_space.comm_ring UniformSpace.commRing
+-/
 
+#print UniformSpace.topologicalRing /-
 instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     TopologicalRing (Quotient (separationSetoid α)) :=
   by
   convert topologicalRing_quotient (⊥ : Ideal α).closure <;> try apply ring_sep_rel
   simp [UniformSpace.commRing]
 #align uniform_space.topological_ring UniformSpace.topologicalRing
+-/
 
 end UniformSpace
 
@@ -278,6 +312,7 @@ variable {γ : Type _} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
 
 variable [T2Space γ] [CompleteSpace γ]
 
+#print DenseInducing.extendRingHom /-
 /-- The dense inducing extension as a ring homomorphism. -/
 noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ} (ue : UniformInducing i)
     (dr : DenseRange i) (hf : UniformContinuous f) : β →+* γ
@@ -310,6 +345,7 @@ noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ
       simp_rw [← i.map_mul, DenseInducing.extend_eq (ue.dense_inducing dr) hf.continuous _, ←
         f.map_mul]
 #align dense_inducing.extend_ring_hom DenseInducing.extendRingHom
+-/
 
 end UniformExtension
 

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

@@ -285,10 +285,10 @@ noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ
   toFun := (ue.DenseInducing dr).extend f
   map_one' := by
     convert DenseInducing.extend_eq (ue.dense_inducing dr) hf.continuous 1
-    exacts[i.map_one.symm, f.map_one.symm]
+    exacts [i.map_one.symm, f.map_one.symm]
   map_zero' := by
     convert DenseInducing.extend_eq (ue.dense_inducing dr) hf.continuous 0
-    exacts[i.map_zero.symm, f.map_zero.symm]
+    exacts [i.map_zero.symm, f.map_zero.symm]
   map_add' := by
     have h := (uniformContinuous_uniformly_extend ue dr hf).Continuous
     refine' fun x y => DenseRange.induction_on₂ dr _ (fun a b => _) x y

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

@@ -43,7 +43,7 @@ TODO: Generalise the results here from the concrete `completion` to any `abstrac
 
 open Classical Set Filter TopologicalSpace AddCommGroup
 
-open Classical
+open scoped Classical
 
 noncomputable section
 

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

@@ -61,12 +61,6 @@ instance : One (Completion α) :=
 instance : Mul (Completion α) :=
   ⟨curry <| (denseInducing_coe.Prod denseInducing_coe).extend (coe ∘ uncurry (· * ·))⟩
 
-/- warning: uniform_space.completion.coe_one -> UniformSpace.Completion.coe_one is a dubious translation:
-lean 3 declaration is
-  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (OfNat.mk.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.one.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasOne.{u1} α _inst_1 _inst_2))))
-but is expected to have type
-  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (Ring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.toOfNat1.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.one.{u1} α _inst_1 _inst_2)))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_one UniformSpace.Completion.coe_oneₓ'. -/
 @[norm_cast]
 theorem coe_one : ((1 : α) : Completion α) = 1 :=
   rfl
@@ -74,12 +68,6 @@ theorem coe_one : ((1 : α) : Completion α) = 1 :=
 
 variable {α} [TopologicalRing α]
 
-/- warning: uniform_space.completion.coe_mul -> UniformSpace.Completion.coe_mul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] (a : α) (b : α), Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α _inst_1))) a b)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) a) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) b))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] (a : α) (b : α), Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))) a b)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (UniformSpace.Completion.coe'.{u1} α _inst_2 a) (UniformSpace.Completion.coe'.{u1} α _inst_2 b))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_mul UniformSpace.Completion.coe_mulₓ'. -/
 @[norm_cast]
 theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
   ((denseInducing_coe.Prod denseInducing_coe).extend_eq
@@ -88,12 +76,6 @@ theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
 
 variable [UniformAddGroup α]
 
-/- warning: uniform_space.completion.continuous_mul -> UniformSpace.Completion.continuous_mul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (Prod.topologicalSpace.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
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-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (instTopologicalSpaceProd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mulₓ'. -/
 theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.1 * p.2 :=
   by
   let m := (AddMonoidHom.mul : α →+ α →+ α).compr₂ to_compl
@@ -104,12 +86,6 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
   rfl
 #align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mul
 
-/- warning: uniform_space.completion.continuous.mul -> UniformSpace.Completion.Continuous.mul is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous.mul UniformSpace.Completion.Continuous.mulₓ'. -/
 theorem Continuous.mul {β : Type _} [TopologicalSpace β] {f g : β → Completion α}
     (hf : Continuous f) (hg : Continuous g) : Continuous fun b => f b * g b :=
   continuous_mul.comp (hf.prod_mk hg : _)
@@ -155,23 +131,11 @@ instance : Ring (Completion α) :=
               (continuous_snd.comp continuous_snd))))
         fun a b c => by rw [← coe_add, ← coe_mul, ← coe_mul, ← coe_mul, ← coe_add, add_mul] }
 
-/- warning: uniform_space.completion.coe_ring_hom -> UniformSpace.Completion.coeRingHom is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHomₓ'. -/
 /-- The map from a uniform ring to its completion, as a ring homomorphism. -/
 def coeRingHom : α →+* Completion α :=
   ⟨coe, coe_one α, fun a b => coe_mul a b, coe_zero, fun a b => coe_add a b⟩
 #align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHom
 
-/- warning: uniform_space.completion.continuous_coe_ring_hom -> UniformSpace.Completion.continuous_coeRingHom is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
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 theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :=
   continuous_coe α
 #align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHom
@@ -179,12 +143,6 @@ theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :
 variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [TopologicalRing β]
   (f : α →+* β) (hf : Continuous f)
 
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-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHomₓ'. -/
 /-- The completion extension as a ring morphism. -/
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
@@ -209,24 +167,12 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
         rw [← coe_mul, extension_coe hf, extension_coe hf, extension_coe hf, f.map_mul] }
 #align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHom
 
-/- warning: uniform_space.completion.top_ring_compl -> UniformSpace.Completion.topologicalRing is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRingₓ'. -/
 instance topologicalRing : TopologicalRing (Completion α)
     where
   continuous_add := continuous_add
   continuous_mul := continuous_mul
 #align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRing
 
-/- warning: uniform_space.completion.map_ring_hom -> UniformSpace.Completion.mapRingHom is a dubious translation:
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-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHomₓ'. -/
 /-- The completion map as a ring morphism. -/
 def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
   extensionHom (coeRingHom.comp f) (continuous_coeRingHom.comp hf)
@@ -237,9 +183,6 @@ section Algebra
 variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type _)
   [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
-/- warning: uniform_space.completion.map_smul_eq_mul_coe -> UniformSpace.Completion.map_smul_eq_mul_coe is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
     Completion.map ((· • ·) r) = (· * ·) (algebraMap R A r : Completion A) :=
@@ -261,9 +204,6 @@ instance : Algebra R (Completion A) :=
         simpa only [coe_mul] using congr_arg (coe : A → completion A) (Algebra.commutes r a)
     smul_def' := fun r x => congr_fun (map_smul_eq_mul_coe A R r) x }
 
-/- warning: uniform_space.completion.algebra_map_def -> UniformSpace.Completion.algebraMap_def is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_defₓ'. -/
 theorem algebraMap_def (r : R) :
     algebraMap R (Completion A) r = (algebraMap R A r : Completion A) :=
   rfl
@@ -282,12 +222,6 @@ instance : CommRing (Completion R) :=
         (isClosed_eq (continuous_fst.mul continuous_snd) (continuous_snd.mul continuous_fst))
         fun a b => by rw [← coe_mul, ← coe_mul, mul_comm] }
 
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-Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra' UniformSpace.Completion.algebra'ₓ'. -/
 /-- A shortcut instance for the common case -/
 instance algebra' : Algebra R (Completion R) := by infer_instance
 #align uniform_space.completion.algebra' UniformSpace.Completion.algebra'
@@ -300,35 +234,17 @@ namespace UniformSpace
 
 variable {α : Type _}
 
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 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
 
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 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
     [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
   rw [@ring_sep_rel α r] <;> rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 
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 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/
@@ -338,23 +254,11 @@ def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGro
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
 
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 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
 instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     CommRing (Quotient (separationSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
 #align uniform_space.comm_ring UniformSpace.commRing
 
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 instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     TopologicalRing (Quotient (separationSetoid α)) :=
   by
@@ -374,9 +278,6 @@ variable {γ : Type _} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
 
 variable [T2Space γ] [CompleteSpace γ]
 
-/- warning: dense_inducing.extend_ring_hom -> DenseInducing.extendRingHom is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align dense_inducing.extend_ring_hom DenseInducing.extendRingHomₓ'. -/
 /-- The dense inducing extension as a ring homomorphism. -/
 noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ} (ue : UniformInducing i)
     (dr : DenseRange i) (hf : UniformContinuous f) : β →+* γ

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

@@ -238,10 +238,7 @@ variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [Topological
   [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
 /- warning: uniform_space.completion.map_smul_eq_mul_coe -> UniformSpace.Completion.map_smul_eq_mul_coe is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
@@ -265,10 +262,7 @@ instance : Algebra R (Completion A) :=
     smul_def' := fun r x => congr_fun (map_smul_eq_mul_coe A R r) x }
 
 /- warning: uniform_space.completion.algebra_map_def -> UniformSpace.Completion.algebraMap_def is a dubious translation:
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(Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r))
+<too large>
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_defₓ'. -/
 theorem algebraMap_def (r : R) :
     algebraMap R (Completion A) r = (algebraMap R A r : Completion A) :=
@@ -381,10 +375,7 @@ variable {γ : Type _} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
 variable [T2Space γ] [CompleteSpace γ]
 
 /- warning: dense_inducing.extend_ring_hom -> DenseInducing.extendRingHom is a dubious translation:
-lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (fun (_x : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) => α -> γ) (RingHom.hasCoeToFun.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
-but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β 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(NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => γ) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u3} γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7) (RingHom.instRingHomClassRingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))))) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
+<too large>
 Case conversion may be inaccurate. Consider using '#align dense_inducing.extend_ring_hom DenseInducing.extendRingHomₓ'. -/
 /-- The dense inducing extension as a ring homomorphism. -/
 noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ} (ue : UniformInducing i)

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

@@ -170,7 +170,7 @@ def coeRingHom : α →+* Completion α :=
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHomₓ'. -/
 theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :=
   continuous_coe α
@@ -183,7 +183,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
 lean 3 declaration is
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
 but is expected to have type
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHomₓ'. -/
 /-- The completion extension as a ring morphism. -/
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
@@ -225,7 +225,7 @@ instance topologicalRing : TopologicalRing (Completion α)
 lean 3 declaration is
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 but is expected to have type
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHomₓ'. -/
 /-- The completion map as a ring morphism. -/
 def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
@@ -241,7 +241,7 @@ variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [Topological
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} ((UniformSpace.Completion.{u1} A _inst_10) -> (UniformSpace.Completion.{u1} A _inst_10)) (UniformSpace.Completion.map.{u1, u1} A _inst_10 A _inst_10 (SMul.smul.{u2, u1} R A (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14))))) r)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (instHMul.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasMul.{u1} A _inst_9 _inst_10)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r)))
 but is expected to have type
-  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) -> (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10)) (UniformSpace.Completion.map.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 : R) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => HSMul.hSMul.{u1, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Algebra.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_13 (Ring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9) _inst_14)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690) r)) ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) => HMul.hMul.{u2, u2, u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (instHMul.{u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.mul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9 _inst_10)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r)))
+  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) -> (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10)) (UniformSpace.Completion.map.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 : R) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) => HSMul.hSMul.{u1, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (instHSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) (Algebra.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_13 (Ring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_9) _inst_14)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690) r)) ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) => HMul.hMul.{u2, u2, u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) (instHMul.{u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10) (UniformSpace.Completion.mul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_9 _inst_10)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
@@ -268,7 +268,7 @@ instance : Algebra R (Completion A) :=
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} (UniformSpace.Completion.{u1} A _inst_10) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (fun (_x : RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) => R -> (UniformSpace.Completion.{u1} A _inst_10)) (RingHom.hasCoeToFun.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (algebraMap.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) _inst_13 (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u1, u2} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r))
 but is expected to have type
-  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => UniformSpace.Completion.{u2} A _inst_10) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => UniformSpace.Completion.{u2} A _inst_10) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))) (RingHom.instRingHomClassRingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))))) (algebraMap.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) _inst_13 (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u2, u1} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r))
+  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => UniformSpace.Completion.{u2} A _inst_10) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => UniformSpace.Completion.{u2} A _inst_10) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))) (RingHom.instRingHomClassRingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))))) (algebraMap.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) _inst_13 (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u2, u1} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_defₓ'. -/
 theorem algebraMap_def (r : R) :
     algebraMap R (Completion A) r = (algebraMap R A r : Completion A) :=
@@ -384,7 +384,7 @@ variable [T2Space γ] [CompleteSpace γ]
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (fun (_x : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) => α -> γ) (RingHom.hasCoeToFun.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => γ) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u3} γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7) (RingHom.instRingHomClassRingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))))) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
+  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : α) => γ) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u3} γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7) (RingHom.instRingHomClassRingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))))) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
 Case conversion may be inaccurate. Consider using '#align dense_inducing.extend_ring_hom DenseInducing.extendRingHomₓ'. -/
 /-- The dense inducing extension as a ring homomorphism. -/
 noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ} (ue : UniformInducing i)

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

@@ -65,7 +65,7 @@ instance : Mul (Completion α) :=
 lean 3 declaration is
   forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (OfNat.mk.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.one.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasOne.{u1} α _inst_1 _inst_2))))
 but is expected to have type
-  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.toOfNat1.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.one.{u1} α _inst_1 _inst_2)))
+  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (Semiring.toOne.{u1} α (Ring.toSemiring.{u1} α _inst_1))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.toOfNat1.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.one.{u1} α _inst_1 _inst_2)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_one UniformSpace.Completion.coe_oneₓ'. -/
 @[norm_cast]
 theorem coe_one : ((1 : α) : Completion α) = 1 :=
@@ -159,7 +159,7 @@ instance : Ring (Completion α) :=
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHomₓ'. -/
 /-- The map from a uniform ring to its completion, as a ring homomorphism. -/
 def coeRingHom : α →+* Completion α :=
@@ -170,7 +170,7 @@ def coeRingHom : α →+* Completion α :=
 lean 3 declaration is
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 but is expected to have type
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHomₓ'. -/
 theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :=
   continuous_coe α
@@ -183,7 +183,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
 lean 3 declaration is
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
 but is expected to have type
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHomₓ'. -/
 /-- The completion extension as a ring morphism. -/
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
@@ -225,7 +225,7 @@ instance topologicalRing : TopologicalRing (Completion α)
 lean 3 declaration is
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 but is expected to have type
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6))) α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (Semiring.toNonAssocSemiring.{u2} α (Ring.toSemiring.{u2} α _inst_1)) (Semiring.toNonAssocSemiring.{u1} β (Ring.toSemiring.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHomₓ'. -/
 /-- The completion map as a ring morphism. -/
 def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
@@ -292,7 +292,7 @@ instance : CommRing (Completion R) :=
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9))))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
 but is expected to have type
-  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9)))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
+  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9)))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (CommSemiring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.commRing.{u1} R _inst_9 _inst_10 _inst_11 _inst_12)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra' UniformSpace.Completion.algebra'ₓ'. -/
 /-- A shortcut instance for the common case -/
 instance algebra' : Algebra R (Completion R) := by infer_instance
@@ -322,7 +322,7 @@ theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [
 lean 3 declaration is
   forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 but is expected to have type
-  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToCommSemiring.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r))))) (Semiring.toModule.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r)))))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.ring_sep_quot UniformSpace.ring_sep_quotₓ'. -/
 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
     [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
@@ -333,7 +333,7 @@ theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [Uniform
 lean 3 declaration is
   forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 but is expected to have type
-  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToCommSemiring.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r))))) (Semiring.toModule.{u1} α (CommSemiring.toSemiring.{u1} α (CommRing.toCommSemiring.{u1} α r)))))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuotₓ'. -/
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring

mathlib commit https://github.com/leanprover-community/mathlib/commit/36b8aa61ea7c05727161f96a0532897bd72aedab

@@ -241,7 +241,7 @@ variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [Topological
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} ((UniformSpace.Completion.{u1} A _inst_10) -> (UniformSpace.Completion.{u1} A _inst_10)) (UniformSpace.Completion.map.{u1, u1} A _inst_10 A _inst_10 (SMul.smul.{u2, u1} R A (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14))))) r)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (instHMul.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasMul.{u1} A _inst_9 _inst_10)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r)))
 but is expected to have type
-  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) -> (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10)) (UniformSpace.Completion.map.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1706 : R) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1708 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => HSMul.hSMul.{u1, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Algebra.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_13 (Ring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9) _inst_14)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1706 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1708) r)) ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1723 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1725 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) => HMul.hMul.{u2, u2, u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (instHMul.{u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.mul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9 _inst_10)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1723 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1725) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r)))
+  forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) -> (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10)) (UniformSpace.Completion.map.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 : R) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => HSMul.hSMul.{u1, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Algebra.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_13 (Ring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9) _inst_14)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1688 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1690) r)) ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) => HMul.hMul.{u2, u2, u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (instHMul.{u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.mul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9 _inst_10)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1705 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1707) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce86f4e05e9a9b8da5e316b22c76ce76440c56a1

@@ -63,7 +63,7 @@ instance : Mul (Completion α) :=
 
 /- warning: uniform_space.completion.coe_one -> UniformSpace.Completion.coe_one is a dubious translation:
 lean 3 declaration is
-  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (OfNat.mk.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.one.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasOne.{u1} α _inst_1 _inst_2))))
+  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (OfNat.mk.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.one.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasOne.{u1} α _inst_1 _inst_2))))
 but is expected to have type
   forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.toOfNat1.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.one.{u1} α _inst_1 _inst_2)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_one UniformSpace.Completion.coe_oneₓ'. -/
@@ -90,7 +90,7 @@ variable [UniformAddGroup α]
 
 /- warning: uniform_space.completion.continuous_mul -> UniformSpace.Completion.continuous_mul is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (Prod.topologicalSpace.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (Prod.topologicalSpace.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (instTopologicalSpaceProd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mulₓ'. -/
@@ -106,7 +106,7 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
 
 /- warning: uniform_space.completion.continuous.mul -> UniformSpace.Completion.Continuous.mul is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous.mul UniformSpace.Completion.Continuous.mulₓ'. -/
@@ -157,7 +157,7 @@ instance : Ring (Completion α) :=
 
 /- warning: uniform_space.completion.coe_ring_hom -> UniformSpace.Completion.coeRingHom is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHomₓ'. -/
@@ -168,7 +168,7 @@ def coeRingHom : α →+* Completion α :=
 
 /- warning: uniform_space.completion.continuous_coe_ring_hom -> UniformSpace.Completion.continuous_coeRingHom is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHomₓ'. -/
@@ -181,7 +181,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
 
 /- warning: uniform_space.completion.extension_hom -> UniformSpace.Completion.extensionHom is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (NonAssocRing.toAddGroupWithOne.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHomₓ'. -/
@@ -211,7 +211,7 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
 
 /- warning: uniform_space.completion.top_ring_compl -> UniformSpace.Completion.topologicalRing is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], TopologicalRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α _inst_1)))], TopologicalRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], TopologicalRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRingₓ'. -/
@@ -223,7 +223,7 @@ instance topologicalRing : TopologicalRing (Completion α)
 
 /- warning: uniform_space.completion.map_ring_hom -> UniformSpace.Completion.mapRingHom is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (NonAssocRing.toAddGroupWithOne.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (AddCommGroupWithOne.toAddGroupWithOne.{u2} α (Ring.toAddCommGroupWithOne.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (AddCommGroupWithOne.toAddGroupWithOne.{u1} β (Ring.toAddCommGroupWithOne.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 but is expected to have type
   forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHomₓ'. -/
@@ -239,7 +239,7 @@ variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [Topological
 
 /- warning: uniform_space.completion.map_smul_eq_mul_coe -> UniformSpace.Completion.map_smul_eq_mul_coe is a dubious translation:
 lean 3 declaration is
-  forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (NonAssocRing.toAddGroupWithOne.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} ((UniformSpace.Completion.{u1} A _inst_10) -> (UniformSpace.Completion.{u1} A _inst_10)) (UniformSpace.Completion.map.{u1, u1} A _inst_10 A _inst_10 (SMul.smul.{u2, u1} R A (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14))))) r)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (instHMul.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasMul.{u1} A _inst_9 _inst_10)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r)))
+  forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} ((UniformSpace.Completion.{u1} A _inst_10) -> (UniformSpace.Completion.{u1} A _inst_10)) (UniformSpace.Completion.map.{u1, u1} A _inst_10 A _inst_10 (SMul.smul.{u2, u1} R A (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14))))) r)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.{u1} A _inst_10) (instHMul.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasMul.{u1} A _inst_9 _inst_10)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r)))
 but is expected to have type
   forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) -> (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10)) (UniformSpace.Completion.map.{u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1706 : R) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1708 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) => HSMul.hSMul.{u1, u2, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (instHSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) (Algebra.toSMul.{u1, u2} R ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_13 (Ring.toSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9) _inst_14)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1706 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1708) r)) ((fun (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1723 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1725 : UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) => HMul.hMul.{u2, u2, u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (instHMul.{u2} (UniformSpace.Completion.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10) (UniformSpace.Completion.mul.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_9 _inst_10)) x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1723 x._@.Mathlib.Topology.Algebra.UniformRing._hyg.1725) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r)))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
@@ -266,7 +266,7 @@ instance : Algebra R (Completion A) :=
 
 /- warning: uniform_space.completion.algebra_map_def -> UniformSpace.Completion.algebraMap_def is a dubious translation:
 lean 3 declaration is
-  forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (NonAssocRing.toAddGroupWithOne.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} (UniformSpace.Completion.{u1} A _inst_10) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (fun (_x : RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) => R -> (UniformSpace.Completion.{u1} A _inst_10)) (RingHom.hasCoeToFun.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (algebraMap.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) _inst_13 (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u1, u2} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r))
+  forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (AddCommGroupWithOne.toAddGroupWithOne.{u1} A (Ring.toAddCommGroupWithOne.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (MulActionWithZero.toSMulWithZero.{u2, u1} R A (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (Module.toMulActionWithZero.{u2, u1} R A (CommSemiring.toSemiring.{u2} R _inst_13) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} (UniformSpace.Completion.{u1} A _inst_10) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (fun (_x : RingHom.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) => R -> (UniformSpace.Completion.{u1} A _inst_10)) (RingHom.hasCoeToFun.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)))) (algebraMap.{u2, u1} R (UniformSpace.Completion.{u1} A _inst_10) _inst_13 (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.ring.{u1} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u1, u2} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) A (UniformSpace.Completion.{u1} A _inst_10) (HasLiftT.mk.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (CoeTCₓ.coe.{succ u1, succ u1} A (UniformSpace.Completion.{u1} A _inst_10) (UniformSpace.Completion.hasCoeT.{u1} A _inst_10))) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (fun (_x : RingHom.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) => R -> A) (RingHom.hasCoeToFun.{u2, u1} R A (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13)) (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))) (algebraMap.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14) r))
 but is expected to have type
   forall (A : Type.{u2}) [_inst_9 : Ring.{u2} A] [_inst_10 : UniformSpace.{u2} A] [_inst_11 : UniformAddGroup.{u2} A _inst_10 (AddGroupWithOne.toAddGroup.{u2} A (Ring.toAddGroupWithOne.{u2} A _inst_9))] [_inst_12 : TopologicalRing.{u2} A (UniformSpace.toTopologicalSpace.{u2} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u2} A (Ring.toNonAssocRing.{u2} A _inst_9))] (R : Type.{u1}) [_inst_13 : CommSemiring.{u1} R] [_inst_14 : Algebra.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u1, u2} R A _inst_10 (Algebra.toSMul.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14)] (r : R), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => UniformSpace.Completion.{u2} A _inst_10) r) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => UniformSpace.Completion.{u2} A _inst_10) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)))) R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))) (RingHom.instRingHomClassRingHom.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11))))))) (algebraMap.{u1, u2} R (UniformSpace.Completion.{u2} A _inst_10) _inst_13 (Ring.toSemiring.{u2} (UniformSpace.Completion.{u2} A _inst_10) (UniformSpace.Completion.ring.{u2} A _inst_9 _inst_10 _inst_12 _inst_11)) (UniformSpace.Completion.algebra.{u2, u1} A _inst_9 _inst_10 _inst_11 _inst_12 R _inst_13 _inst_14 _inst_15)) r) (UniformSpace.Completion.coe'.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) r) _inst_10 (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_defₓ'. -/
@@ -290,7 +290,7 @@ instance : CommRing (Completion R) :=
 
 /- warning: uniform_space.completion.algebra' -> UniformSpace.Completion.algebra' is a dubious translation:
 lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9))))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
+  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (AddCommGroupWithOne.toAddGroupWithOne.{u1} R (Ring.toAddCommGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9))))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
 but is expected to have type
   forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9)))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
 Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra' UniformSpace.Completion.algebra'ₓ'. -/
@@ -308,7 +308,7 @@ variable {α : Type _}
 
 /- warning: uniform_space.ring_sep_rel -> UniformSpace.ring_sep_rel is a dubious translation:
 lean 3 declaration is
-  forall (α : Type.{u1}) [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], Eq.{succ u1} (Setoid.{succ u1} α) (UniformSpace.separationSetoid.{u1} α _inst_2) (Submodule.quotientRel.{u1, u1} α α (CommRing.toRing.{u1} α _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (CommRing.toRing.{u1} α _inst_1) _inst_4 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)))))))
+  forall (α : Type.{u1}) [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], Eq.{succ u1} (Setoid.{succ u1} α) (UniformSpace.separationSetoid.{u1} α _inst_2) (Submodule.quotientRel.{u1, u1} α α (CommRing.toRing.{u1} α _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (CommRing.toRing.{u1} α _inst_1) _inst_4 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)))))))
 but is expected to have type
   forall (α : Type.{u1}) [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], Eq.{succ u1} (Setoid.{succ u1} α) (UniformSpace.separationSetoid.{u1} α _inst_2) (Submodule.quotientRel.{u1, u1} α α (CommRing.toRing.{u1} α _inst_1) (Ring.toAddCommGroup.{u1} α (CommRing.toRing.{u1} α _inst_1)) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (CommRing.toRing.{u1} α _inst_1) _inst_4 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)))))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.ring_sep_rel UniformSpace.ring_sep_relₓ'. -/
@@ -320,7 +320,7 @@ theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [
 
 /- warning: uniform_space.ring_sep_quot -> UniformSpace.ring_sep_quot is a dubious translation:
 lean 3 declaration is
-  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 but is expected to have type
   forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.ring_sep_quot UniformSpace.ring_sep_quotₓ'. -/
@@ -331,7 +331,7 @@ theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [Uniform
 
 /- warning: uniform_space.sep_quot_equiv_ring_quot -> UniformSpace.sepQuotEquivRingQuot is a dubious translation:
 lean 3 declaration is
-  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 but is expected to have type
   forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuotₓ'. -/
@@ -346,7 +346,7 @@ def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGro
 
 /- warning: uniform_space.comm_ring -> UniformSpace.commRing is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], CommRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2))
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], CommRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], CommRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2))
 Case conversion may be inaccurate. Consider using '#align uniform_space.comm_ring UniformSpace.commRingₓ'. -/
@@ -357,7 +357,7 @@ instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [Topologi
 
 /- warning: uniform_space.topological_ring -> UniformSpace.topologicalRing is a dubious translation:
 lean 3 declaration is
-  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], TopologicalRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Quotient.topologicalSpace.{u1} α (UniformSpace.separationSetoid.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Ring.toNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (CommRing.toRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (UniformSpace.commRing.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (AddCommGroupWithOne.toAddGroupWithOne.{u1} α (Ring.toAddCommGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], TopologicalRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Quotient.topologicalSpace.{u1} α (UniformSpace.separationSetoid.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Ring.toNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (CommRing.toRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (UniformSpace.commRing.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))
 but is expected to have type
   forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], TopologicalRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (instTopologicalSpaceQuotient.{u1} α (UniformSpace.separationSetoid.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Ring.toNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (CommRing.toRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (UniformSpace.commRing.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))
 Case conversion may be inaccurate. Consider using '#align uniform_space.topological_ring UniformSpace.topologicalRingₓ'. -/

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

@@ -155,12 +155,16 @@ instance : Ring (Completion α) :=
               (continuous_snd.comp continuous_snd))))
         fun a b c => by rw [← coe_add, ← coe_mul, ← coe_mul, ← coe_mul, ← coe_add, add_mul] }
 
-#print UniformSpace.Completion.coeRingHom /-
+/- warning: uniform_space.completion.coe_ring_hom -> UniformSpace.Completion.coeRingHom is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHomₓ'. -/
 /-- The map from a uniform ring to its completion, as a ring homomorphism. -/
 def coeRingHom : α →+* Completion α :=
   ⟨coe, coe_one α, fun a b => coe_mul a b, coe_zero, fun a b => coe_add a b⟩
 #align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHom
--/
 
 /- warning: uniform_space.completion.continuous_coe_ring_hom -> UniformSpace.Completion.continuous_coeRingHom is a dubious translation:
 lean 3 declaration is
@@ -205,13 +209,17 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
         rw [← coe_mul, extension_coe hf, extension_coe hf, extension_coe hf, f.map_mul] }
 #align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHom
 
-#print UniformSpace.Completion.topologicalRing /-
+/- warning: uniform_space.completion.top_ring_compl -> UniformSpace.Completion.topologicalRing is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], TopologicalRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], TopologicalRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRingₓ'. -/
 instance topologicalRing : TopologicalRing (Completion α)
     where
   continuous_add := continuous_add
   continuous_mul := continuous_mul
 #align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRing
--/
 
 /- warning: uniform_space.completion.map_ring_hom -> UniformSpace.Completion.mapRingHom is a dubious translation:
 lean 3 declaration is
@@ -280,11 +288,15 @@ instance : CommRing (Completion R) :=
         (isClosed_eq (continuous_fst.mul continuous_snd) (continuous_snd.mul continuous_fst))
         fun a b => by rw [← coe_mul, ← coe_mul, mul_comm] }
 
-#print UniformSpace.Completion.algebra' /-
+/- warning: uniform_space.completion.algebra' -> UniformSpace.Completion.algebra' is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (NonAssocRing.toAddGroupWithOne.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9))))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_9 : CommRing.{u1} R] [_inst_10 : UniformSpace.{u1} R] [_inst_11 : UniformAddGroup.{u1} R _inst_10 (AddGroupWithOne.toAddGroup.{u1} R (Ring.toAddGroupWithOne.{u1} R (CommRing.toRing.{u1} R _inst_9)))] [_inst_12 : TopologicalRing.{u1} R (UniformSpace.toTopologicalSpace.{u1} R _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_9)))], Algebra.{u1, u1} R (UniformSpace.Completion.{u1} R _inst_10) (CommRing.toCommSemiring.{u1} R _inst_9) (Ring.toSemiring.{u1} (UniformSpace.Completion.{u1} R _inst_10) (UniformSpace.Completion.ring.{u1} R (CommRing.toRing.{u1} R _inst_9) _inst_10 _inst_12 _inst_11))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra' UniformSpace.Completion.algebra'ₓ'. -/
 /-- A shortcut instance for the common case -/
 instance algebra' : Algebra R (Completion R) := by infer_instance
 #align uniform_space.completion.algebra' UniformSpace.Completion.algebra'
--/
 
 end CommRing
 
@@ -332,21 +344,29 @@ def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGro
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
 
-#print UniformSpace.commRing /-
+/- warning: uniform_space.comm_ring -> UniformSpace.commRing is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], CommRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], CommRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2))
+Case conversion may be inaccurate. Consider using '#align uniform_space.comm_ring UniformSpace.commRingₓ'. -/
 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
 instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     CommRing (Quotient (separationSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
 #align uniform_space.comm_ring UniformSpace.commRing
--/
 
-#print UniformSpace.topologicalRing /-
+/- warning: uniform_space.topological_ring -> UniformSpace.topologicalRing is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], TopologicalRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Quotient.topologicalSpace.{u1} α (UniformSpace.separationSetoid.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Ring.toNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (CommRing.toRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (UniformSpace.commRing.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], TopologicalRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (instTopologicalSpaceQuotient.{u1} α (UniformSpace.separationSetoid.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2)) (NonAssocRing.toNonUnitalNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (Ring.toNonAssocRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (CommRing.toRing.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_2)) (UniformSpace.commRing.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.topological_ring UniformSpace.topologicalRingₓ'. -/
 instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     TopologicalRing (Quotient (separationSetoid α)) :=
   by
   convert topologicalRing_quotient (⊥ : Ideal α).closure <;> try apply ring_sep_rel
   simp [UniformSpace.commRing]
 #align uniform_space.topological_ring UniformSpace.topologicalRing
--/
 
 end UniformSpace
 

mathlib commit https://github.com/leanprover-community/mathlib/commit/b19481deb571022990f1baa9cbf9172e6757a479

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
 
 ! This file was ported from Lean 3 source module topology.algebra.uniform_ring
-! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
+! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.Topology.Algebra.Ring.Ideal
 /-!
 # Completion of topological rings:
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This files endows the completion of a topological ring with a ring structure.
 More precisely the instance `uniform_space.completion.ring` builds a ring structure
 on the completion of a ring endowed with a compatible uniform structure in the sense of

mathlib commit https://github.com/leanprover-community/mathlib/commit/dd6388c44e6f6b4547070b887c5905d5cfe6c9f8

@@ -58,6 +58,12 @@ instance : One (Completion α) :=
 instance : Mul (Completion α) :=
   ⟨curry <| (denseInducing_coe.Prod denseInducing_coe).extend (coe ∘ uncurry (· * ·))⟩
 
+/- warning: uniform_space.completion.coe_one -> UniformSpace.Completion.coe_one is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (OfNat.ofNat.{u1} α 1 (OfNat.mk.{u1} α 1 (One.one.{u1} α (AddMonoidWithOne.toOne.{u1} α (AddGroupWithOne.toAddMonoidWithOne.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (OfNat.mk.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.one.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasOne.{u1} α _inst_1 _inst_2))))
+but is expected to have type
+  forall (α : Type.{u1}) [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α], Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (OfNat.ofNat.{u1} α 1 (One.toOfNat1.{u1} α (NonAssocRing.toOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))))) (OfNat.ofNat.{u1} (UniformSpace.Completion.{u1} α _inst_2) 1 (One.toOfNat1.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.one.{u1} α _inst_1 _inst_2)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_one UniformSpace.Completion.coe_oneₓ'. -/
 @[norm_cast]
 theorem coe_one : ((1 : α) : Completion α) = 1 :=
   rfl
@@ -65,6 +71,12 @@ theorem coe_one : ((1 : α) : Completion α) = 1 :=
 
 variable {α} [TopologicalRing α]
 
+/- warning: uniform_space.completion.coe_mul -> UniformSpace.Completion.coe_mul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] (a : α) (b : α), Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (Distrib.toHasMul.{u1} α (Ring.toDistrib.{u1} α _inst_1))) a b)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) a) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) α (UniformSpace.Completion.{u1} α _inst_2) (HasLiftT.mk.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (CoeTCₓ.coe.{succ u1, succ u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasCoeT.{u1} α _inst_2))) b))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] (a : α) (b : α), Eq.{succ u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.coe'.{u1} α _inst_2 (HMul.hMul.{u1, u1, u1} α α α (instHMul.{u1} α (NonUnitalNonAssocRing.toMul.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))) a b)) (HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (UniformSpace.Completion.coe'.{u1} α _inst_2 a) (UniformSpace.Completion.coe'.{u1} α _inst_2 b))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.coe_mul UniformSpace.Completion.coe_mulₓ'. -/
 @[norm_cast]
 theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
   ((denseInducing_coe.Prod denseInducing_coe).extend_eq
@@ -73,6 +85,12 @@ theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
 
 variable [UniformAddGroup α]
 
+/- warning: uniform_space.completion.continuous_mul -> UniformSpace.Completion.continuous_mul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (Prod.topologicalSpace.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} (Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) (UniformSpace.Completion.{u1} α _inst_2) (instTopologicalSpaceProd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2))) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (p : Prod.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2)) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (Prod.fst.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p) (Prod.snd.{u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) p))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mulₓ'. -/
 theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.1 * p.2 :=
   by
   let m := (AddMonoidHom.mul : α →+ α →+ α).compr₂ to_compl
@@ -83,6 +101,12 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
   rfl
 #align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mul
 
+/- warning: uniform_space.completion.continuous.mul -> UniformSpace.Completion.Continuous.mul is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.hasMul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))] {β : Type.{u2}} [_inst_5 : TopologicalSpace.{u2} β] {f : β -> (UniformSpace.Completion.{u1} α _inst_2)} {g : β -> (UniformSpace.Completion.{u1} α _inst_2)}, (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) f) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) g) -> (Continuous.{u2, u1} β (UniformSpace.Completion.{u1} α _inst_2) _inst_5 (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (fun (b : β) => HMul.hMul.{u1, u1, u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.{u1} α _inst_2) (instHMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.mul.{u1} α _inst_1 _inst_2)) (f b) (g b)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous.mul UniformSpace.Completion.Continuous.mulₓ'. -/
 theorem Continuous.mul {β : Type _} [TopologicalSpace β] {f g : β → Completion α}
     (hf : Continuous f) (hg : Continuous g) : Continuous fun b => f b * g b :=
   continuous_mul.comp (hf.prod_mk hg : _)
@@ -128,11 +152,19 @@ instance : Ring (Completion α) :=
               (continuous_snd.comp continuous_snd))))
         fun a b c => by rw [← coe_add, ← coe_mul, ← coe_mul, ← coe_mul, ← coe_add, add_mul] }
 
+#print UniformSpace.Completion.coeRingHom /-
 /-- The map from a uniform ring to its completion, as a ring homomorphism. -/
 def coeRingHom : α →+* Completion α :=
   ⟨coe, coe_one α, fun a b => coe_mul a b, coe_zero, fun a b => coe_add a b⟩
 #align uniform_space.completion.coe_ring_hom UniformSpace.Completion.coeRingHom
+-/
 
+/- warning: uniform_space.completion.continuous_coe_ring_hom -> UniformSpace.Completion.continuous_coeRingHom is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (fun (_x : RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) => α -> (UniformSpace.Completion.{u1} α _inst_2)) (RingHom.hasCoeToFun.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : Ring.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))] [_inst_4 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α _inst_1))], Continuous.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.uniformSpace.{u1} α _inst_2)) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => UniformSpace.Completion.{u1} α _inst_2) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4)))) α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))) (RingHom.instRingHomClassRingHom.{u1, u1} α (UniformSpace.Completion.{u1} α _inst_2) (NonAssocRing.toNonAssocSemiring.{u1} α (Ring.toNonAssocRing.{u1} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} α _inst_2) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} α _inst_2) (UniformSpace.Completion.ring.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))))))) (UniformSpace.Completion.coeRingHom.{u1} α _inst_1 _inst_2 _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHomₓ'. -/
 theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :=
   continuous_coe α
 #align uniform_space.completion.continuous_coe_ring_hom UniformSpace.Completion.continuous_coeRingHom
@@ -140,6 +172,12 @@ theorem continuous_coeRingHom : Continuous (coeRingHom : α → Completion α) :
 variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [TopologicalRing β]
   (f : α →+* β) (hf : Continuous f)
 
+/- warning: uniform_space.completion.extension_hom -> UniformSpace.Completion.extensionHom is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (NonAssocRing.toAddGroupWithOne.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
+but is expected to have type
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (forall [_inst_9 : CompleteSpace.{u1} β _inst_5] [_inst_10 : SeparatedSpace.{u1} β _inst_5], RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) β (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHomₓ'. -/
 /-- The completion extension as a ring morphism. -/
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
@@ -164,12 +202,20 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
         rw [← coe_mul, extension_coe hf, extension_coe hf, extension_coe hf, f.map_mul] }
 #align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHom
 
-instance top_ring_compl : TopologicalRing (Completion α)
+#print UniformSpace.Completion.topologicalRing /-
+instance topologicalRing : TopologicalRing (Completion α)
     where
   continuous_add := continuous_add
   continuous_mul := continuous_mul
-#align uniform_space.completion.top_ring_compl UniformSpace.Completion.top_ring_compl
+#align uniform_space.completion.top_ring_compl UniformSpace.Completion.topologicalRing
+-/
 
+/- warning: uniform_space.completion.map_ring_hom -> UniformSpace.Completion.mapRingHom is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (NonAssocRing.toAddGroupWithOne.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (NonAssocRing.toAddGroupWithOne.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (coeFn.{max (succ u2) (succ u1), max (succ u2) (succ u1)} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (fun (_x : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) => α -> β) (RingHom.hasCoeToFun.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
+but is expected to have type
+  forall {α : Type.{u2}} [_inst_1 : Ring.{u2} α] [_inst_2 : UniformSpace.{u2} α] [_inst_3 : TopologicalRing.{u2} α (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))] [_inst_4 : UniformAddGroup.{u2} α _inst_2 (AddGroupWithOne.toAddGroup.{u2} α (Ring.toAddGroupWithOne.{u2} α _inst_1))] {β : Type.{u1}} [_inst_5 : UniformSpace.{u1} β] [_inst_6 : Ring.{u1} β] [_inst_7 : UniformAddGroup.{u1} β _inst_5 (AddGroupWithOne.toAddGroup.{u1} β (Ring.toAddGroupWithOne.{u1} β _inst_6))] [_inst_8 : TopologicalRing.{u1} β (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (NonAssocRing.toNonUnitalNonAssocRing.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))] (f : RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))), (Continuous.{u2, u1} α β (UniformSpace.toTopologicalSpace.{u2} α _inst_2) (UniformSpace.toTopologicalSpace.{u1} β _inst_5) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonUnitalNonAssocSemiring.toMul.{u2} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)))) (NonUnitalNonAssocSemiring.toMul.{u1} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} α (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} β (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6))) α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)) (RingHom.instRingHomClassRingHom.{u2, u1} α β (NonAssocRing.toNonAssocSemiring.{u2} α (Ring.toNonAssocRing.{u2} α _inst_1)) (NonAssocRing.toNonAssocSemiring.{u1} β (Ring.toNonAssocRing.{u1} β _inst_6)))))) f)) -> (RingHom.{u2, u1} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.{u1} β _inst_5) (NonAssocRing.toNonAssocSemiring.{u2} (UniformSpace.Completion.{u2} α _inst_2) (Ring.toNonAssocRing.{u2} (UniformSpace.Completion.{u2} α _inst_2) (UniformSpace.Completion.ring.{u2} α _inst_1 _inst_2 _inst_3 _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} (UniformSpace.Completion.{u1} β _inst_5) (Ring.toNonAssocRing.{u1} (UniformSpace.Completion.{u1} β _inst_5) (UniformSpace.Completion.ring.{u1} β _inst_6 _inst_5 _inst_8 _inst_7))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_ring_hom UniformSpace.Completion.mapRingHomₓ'. -/
 /-- The completion map as a ring morphism. -/
 def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
   extensionHom (coeRingHom.comp f) (continuous_coeRingHom.comp hf)
@@ -180,6 +226,12 @@ section Algebra
 variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type _)
   [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
+/- warning: uniform_space.completion.map_smul_eq_mul_coe -> UniformSpace.Completion.map_smul_eq_mul_coe is a dubious translation:
+lean 3 declaration is
+  forall (A : Type.{u1}) [_inst_9 : Ring.{u1} A] [_inst_10 : UniformSpace.{u1} A] [_inst_11 : UniformAddGroup.{u1} A _inst_10 (AddGroupWithOne.toAddGroup.{u1} A (NonAssocRing.toAddGroupWithOne.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9)))] [_inst_12 : TopologicalRing.{u1} A (UniformSpace.toTopologicalSpace.{u1} A _inst_10) (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A _inst_9))] (R : Type.{u2}) [_inst_13 : CommSemiring.{u2} R] [_inst_14 : Algebra.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9)] [_inst_15 : UniformContinuousConstSMul.{u2, u1} R A _inst_10 (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9)))) (Algebra.toModule.{u2, u1} R A _inst_13 (Ring.toSemiring.{u1} A _inst_9) _inst_14)))))] (r : R), Eq.{succ u1} ((UniformSpace.Completion.{u1} A _inst_10) -> (UniformSpace.Completion.{u1} A _inst_10)) (UniformSpace.Completion.map.{u1, u1} A _inst_10 A _inst_10 (SMul.smul.{u2, u1} R A (SMulZeroClass.toHasSmul.{u2, u1} R A (AddZeroClass.toHasZero.{u1} A (AddMonoid.toAddZeroClass.{u1} A (AddCommMonoid.toAddMonoid.{u1} A (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A _inst_9))))))) (SMulWithZero.toSmulZeroClass.{u2, u1} R A (MulZeroClass.toHasZero.{u2} R (MulZeroOneClass.toMulZeroClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R _inst_13))))) (AddZeroClass.toHasZero.{u1} A 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+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.map_smul_eq_mul_coe UniformSpace.Completion.map_smul_eq_mul_coeₓ'. -/
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
     Completion.map ((· • ·) r) = (· * ·) (algebraMap R A r : Completion A) :=
@@ -201,6 +253,12 @@ instance : Algebra R (Completion A) :=
         simpa only [coe_mul] using congr_arg (coe : A → completion A) (Algebra.commutes r a)
     smul_def' := fun r x => congr_fun (map_smul_eq_mul_coe A R r) x }
 
+/- warning: uniform_space.completion.algebra_map_def -> UniformSpace.Completion.algebraMap_def is a dubious translation:
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(Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => A) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)))) (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9))) R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)) (RingHom.instRingHomClassRingHom.{u1, u2} R A (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R _inst_13)) (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A _inst_9)))))) (algebraMap.{u1, u2} R A _inst_13 (Ring.toSemiring.{u2} A _inst_9) _inst_14) r))
+Case conversion may be inaccurate. Consider using '#align uniform_space.completion.algebra_map_def UniformSpace.Completion.algebraMap_defₓ'. -/
 theorem algebraMap_def (r : R) :
     algebraMap R (Completion A) r = (algebraMap R A r : Completion A) :=
   rfl
@@ -219,9 +277,11 @@ instance : CommRing (Completion R) :=
         (isClosed_eq (continuous_fst.mul continuous_snd) (continuous_snd.mul continuous_fst))
         fun a b => by rw [← coe_mul, ← coe_mul, mul_comm] }
 
+#print UniformSpace.Completion.algebra' /-
 /-- A shortcut instance for the common case -/
 instance algebra' : Algebra R (Completion R) := by infer_instance
 #align uniform_space.completion.algebra' UniformSpace.Completion.algebra'
+-/
 
 end CommRing
 
@@ -231,17 +291,35 @@ namespace UniformSpace
 
 variable {α : Type _}
 
+/- warning: uniform_space.ring_sep_rel -> UniformSpace.ring_sep_rel is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}) [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1))))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], Eq.{succ u1} (Setoid.{succ u1} α) (UniformSpace.separationSetoid.{u1} α _inst_2) (Submodule.quotientRel.{u1, u1} α α (CommRing.toRing.{u1} α _inst_1) (NonUnitalNonAssocRing.toAddCommGroup.{u1} α (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (CommRing.toRing.{u1} α _inst_1) _inst_4 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)))))))
+but is expected to have type
+  forall (α : Type.{u1}) [_inst_1 : CommRing.{u1} α] [_inst_2 : UniformSpace.{u1} α] [_inst_3 : UniformAddGroup.{u1} α _inst_2 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α _inst_1)))] [_inst_4 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α _inst_1)))], Eq.{succ u1} (Setoid.{succ u1} α) (UniformSpace.separationSetoid.{u1} α _inst_2) (Submodule.quotientRel.{u1, u1} α α (CommRing.toRing.{u1} α _inst_1) (Ring.toAddCommGroup.{u1} α (CommRing.toRing.{u1} α _inst_1)) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_2) (CommRing.toRing.{u1} α _inst_1) _inst_4 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α _inst_1)))))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.ring_sep_rel UniformSpace.ring_sep_relₓ'. -/
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
 
+/- warning: uniform_space.ring_sep_quot -> UniformSpace.ring_sep_quot is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+but is expected to have type
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Eq.{succ (succ u1)} Type.{u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.ring_sep_quot UniformSpace.ring_sep_quotₓ'. -/
 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
     [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
   rw [@ring_sep_rel α r] <;> rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 
+/- warning: uniform_space.sep_quot_equiv_ring_quot -> UniformSpace.sepQuotEquivRingQuot is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (NonAssocRing.toAddGroupWithOne.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r))))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.hasQuotient.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.hasBot.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+but is expected to have type
+  forall (α : Type.{u1}) [r : CommRing.{u1} α] [_inst_1 : UniformSpace.{u1} α] [_inst_2 : UniformAddGroup.{u1} α _inst_1 (AddGroupWithOne.toAddGroup.{u1} α (Ring.toAddGroupWithOne.{u1} α (CommRing.toRing.{u1} α r)))] [_inst_3 : TopologicalRing.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (NonAssocRing.toNonUnitalNonAssocRing.{u1} α (Ring.toNonAssocRing.{u1} α (CommRing.toRing.{u1} α r)))], Equiv.{succ u1, succ u1} (Quotient.{succ u1} α (UniformSpace.separationSetoid.{u1} α _inst_1)) (HasQuotient.Quotient.{u1, u1} α (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Ideal.instHasQuotientIdealToSemiringToRing.{u1} α r) (Ideal.closure.{u1} α (UniformSpace.toTopologicalSpace.{u1} α _inst_1) (CommRing.toRing.{u1} α r) _inst_3 (Bot.bot.{u1} (Ideal.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))) (Submodule.instBotSubmodule.{u1, u1} α α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r))))) (Semiring.toModule.{u1} α (Ring.toSemiring.{u1} α (CommRing.toRing.{u1} α r)))))))
+Case conversion may be inaccurate. Consider using '#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuotₓ'. -/
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/
@@ -251,17 +329,21 @@ def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGro
     (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
 
+#print UniformSpace.commRing /-
 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
 instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     CommRing (Quotient (separationSetoid α)) := by rw [ring_sep_quot α] <;> infer_instance
 #align uniform_space.comm_ring UniformSpace.commRing
+-/
 
+#print UniformSpace.topologicalRing /-
 instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     TopologicalRing (Quotient (separationSetoid α)) :=
   by
   convert topologicalRing_quotient (⊥ : Ideal α).closure <;> try apply ring_sep_rel
   simp [UniformSpace.commRing]
 #align uniform_space.topological_ring UniformSpace.topologicalRing
+-/
 
 end UniformSpace
 
@@ -275,6 +357,12 @@ variable {γ : Type _} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
 
 variable [T2Space γ] [CompleteSpace γ]
 
+/- warning: dense_inducing.extend_ring_hom -> DenseInducing.extendRingHom is a dubious translation:
+lean 3 declaration is
+  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (fun (_x : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) => α -> β) (RingHom.hasCoeToFun.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (fun (_x : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) => α -> γ) (RingHom.hasCoeToFun.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
+but is expected to have type
+  forall {α : Type.{u1}} [_inst_1 : UniformSpace.{u1} α] [_inst_2 : Semiring.{u1} α] {β : Type.{u2}} [_inst_3 : UniformSpace.{u2} β] [_inst_4 : Semiring.{u2} β] [_inst_5 : TopologicalSemiring.{u2} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))] {γ : Type.{u3}} [_inst_6 : UniformSpace.{u3} γ] [_inst_7 : Semiring.{u3} γ] [_inst_8 : TopologicalSemiring.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))] [_inst_9 : T2Space.{u3} γ (UniformSpace.toTopologicalSpace.{u3} γ _inst_6)] [_inst_10 : CompleteSpace.{u3} γ _inst_6] {i : RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)} {f : RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)}, (UniformInducing.{u1, u2} α β _inst_1 _inst_3 (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (DenseRange.{u2, u1} β (UniformSpace.toTopologicalSpace.{u2} β _inst_3) α (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => β) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u2} β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} β (Semiring.toNonAssocSemiring.{u2} β _inst_4)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4)) α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4) (RingHom.instRingHomClassRingHom.{u1, u2} α β (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u2} β _inst_4))))) i)) -> (UniformContinuous.{u1, u3} α γ _inst_1 _inst_6 (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α (fun (_x : α) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : α) => γ) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonUnitalNonAssocSemiring.toMul.{u1} α (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2))) (NonUnitalNonAssocSemiring.toMul.{u3} γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} α (Semiring.toNonAssocSemiring.{u1} α _inst_2)) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} γ (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7)) α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7) (RingHom.instRingHomClassRingHom.{u1, u3} α γ (Semiring.toNonAssocSemiring.{u1} α _inst_2) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))))) f)) -> (RingHom.{u2, u3} β γ (Semiring.toNonAssocSemiring.{u2} β _inst_4) (Semiring.toNonAssocSemiring.{u3} γ _inst_7))
+Case conversion may be inaccurate. Consider using '#align dense_inducing.extend_ring_hom DenseInducing.extendRingHomₓ'. -/
 /-- The dense inducing extension as a ring homomorphism. -/
 noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ} (ue : UniformInducing i)
     (dr : DenseRange i) (hf : UniformContinuous f) : β →+* γ

mathlib commit https://github.com/leanprover-community/mathlib/commit/62e8311c791f02c47451bf14aa2501048e7c2f33

@@ -4,13 +4,13 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
 
 ! This file was ported from Lean 3 source module topology.algebra.uniform_ring
-! leanprover-community/mathlib commit ed5ef408e2955174e1e7185eb2326d03758c6d22
+! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Basic
 import Mathbin.Topology.Algebra.GroupCompletion
-import Mathbin.Topology.Algebra.Ring
+import Mathbin.Topology.Algebra.Ring.Ideal
 
 /-!
 # Completion of topological rings:

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

@@ -178,7 +178,7 @@ def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
 section Algebra
 
 variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type _)
-  [CommSemiring R] [Algebra R A] [HasUniformContinuousConstSmul R A]
+  [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :

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

@@ -144,7 +144,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
 def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
   -- helping the elaborator
-  have hf : UniformContinuous f := uniform_continuous_add_monoid_hom_of_continuous hf'
+  have hf : UniformContinuous f := uniformContinuous_addMonoidHom_of_continuous hf'
   { toFun := Completion.extension f
     map_zero' := by rw [← coe_zero, extension_coe hf, f.map_zero]
     map_add' := fun a b =>
@@ -234,7 +234,7 @@ variable {α : Type _}
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
-    (add_group_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
+    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
 
 theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
@@ -248,7 +248,7 @@ corresponding to the closure of zero. -/
 def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
     [TopologicalRing α] : Quotient (separationSetoid α) ≃ α ⧸ (⊥ : Ideal α).closure :=
   Quotient.congrRight fun x y =>
-    (add_group_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
+    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
 #align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
 
 -- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer

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

Splits Algebra.Algebra.Defs off Algebra.Algebra.Basic. Most imports only need the Defs file, which has significantly smaller imports. The remaining Algebra.Algebra.Basic is now a grab-bag of unrelated results, and should probably be split further or rehomed.

This is mostly motivated by the wasted effort during minimization upon encountering Algebra.Algebra.Basic.

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

@@ -3,7 +3,7 @@ Copyright (c) 2018 Patrick Massot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
 -/
-import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Algebra.Algebra.Defs
 import Mathlib.Logic.Equiv.TransferInstance
 import Mathlib.Topology.Algebra.GroupCompletion
 import Mathlib.Topology.Algebra.Ring.Ideal

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -295,11 +295,8 @@ end UniformSpace
 section UniformExtension
 
 variable {α : Type*} [UniformSpace α] [Semiring α]
-
 variable {β : Type*} [UniformSpace β] [Semiring β] [TopologicalSemiring β]
-
 variable {γ : Type*} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
-
 variable [T2Space γ] [CompleteSpace γ]
 
 /-- The dense inducing extension as a ring homomorphism. -/

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

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

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

Fixes #2031

@@ -4,6 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
 -/
 import Mathlib.Algebra.Algebra.Basic
+import Mathlib.Logic.Equiv.TransferInstance
 import Mathlib.Topology.Algebra.GroupCompletion
 import Mathlib.Topology.Algebra.Ring.Ideal
 
@@ -152,7 +153,7 @@ variable {β : Type u} [UniformSpace β] [Ring β] [UniformAddGroup β] [Topolog
   (f : α →+* β) (hf : Continuous f)
 
 /-- The completion extension as a ring morphism. -/
-def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β :=
+def extensionHom [CompleteSpace β] [T0Space β] : Completion α →+* β :=
   have hf' : Continuous (f : α →+ β) := hf
   -- helping the elaborator
   have hf : UniformContinuous f := uniformContinuous_addMonoidHom_of_continuous hf'
@@ -237,38 +238,56 @@ namespace UniformSpace
 
 variable {α : Type*}
 
-theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
+-- TODO: move (some of) these results to the file about topological rings
+theorem inseparableSetoid_ring (α) [CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    inseparableSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
-    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
-#align uniform_space.ring_sep_rel UniformSpace.ring_sep_rel
+    addGroup_inseparable_iff.trans <| .trans (by rfl) (Submodule.quotientRel_r_def _).symm
+#align uniform_space.ring_sep_rel UniformSpace.inseparableSetoid_ring
 
-theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
-    [TopologicalRing α] : Quotient (separationSetoid α) = (α ⧸ (⊥ : Ideal α).closure) := by
-  rw [@ring_sep_rel α r]
+@[deprecated] -- 2024-03-09
+alias ring_sep_rel := inseparableSetoid_ring
+
+@[deprecated UniformSpace.inseparableSetoid_ring] -- 2024-02-16 Equality of types is evil
+theorem ring_sep_quot (α : Type u) [r : CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    SeparationQuotient α = (α ⧸ (⊥ : Ideal α).closure) := by
+  rw [SeparationQuotient, @inseparableSetoid_ring α r]
   rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
-continuous, get an equivalence between the separated quotient of `α` and the quotient ring
+continuous, get an homeomorphism between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/
-def sepQuotEquivRingQuot (α) [r : CommRing α] [UniformSpace α] [UniformAddGroup α]
-    [TopologicalRing α] : Quotient (separationSetoid α) ≃ α ⧸ (⊥ : Ideal α).closure :=
-  Quotient.congrRight fun x y =>
-    (addGroup_separationRel x y).trans <| Iff.trans (by rfl) (Submodule.quotientRel_r_def _).symm
-#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotEquivRingQuot
-
--- TODO: use a form of transport a.k.a. lift definition a.k.a. transfer
-instance commRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    CommRing (Quotient (separationSetoid α)) := by
-  rw [ring_sep_quot α]; infer_instance
+def sepQuotHomeomorphRingQuot (α) [CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    SeparationQuotient α ≃ₜ α ⧸ (⊥ : Ideal α).closure where
+  toEquiv := Quotient.congrRight fun x y => by rw [inseparableSetoid_ring]
+  continuous_toFun := continuous_id.quotient_map' <| by
+    rw [inseparableSetoid_ring]; exact fun _ _ ↦ id
+  continuous_invFun := continuous_id.quotient_map' <| by
+    rw [inseparableSetoid_ring]; exact fun _ _ ↦ id
+#align uniform_space.sep_quot_equiv_ring_quot UniformSpace.sepQuotHomeomorphRingQuot
+
+instance commRing [CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    CommRing (SeparationQuotient α) :=
+  (sepQuotHomeomorphRingQuot _).commRing
 #align uniform_space.comm_ring UniformSpace.commRing
 
-instance topologicalRing [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
-    TopologicalRing (Quotient (separationSetoid α)) := by
-  convert topologicalRing_quotient (⊥ : Ideal α).closure
-  <;> (try congr; apply ring_sep_rel)
-  simp [commRing]
+/-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
+continuous, get an equivalence between the separated quotient of `α` and the quotient ring
+corresponding to the closure of zero. -/
+def sepQuotRingEquivRingQuot (α) [CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    SeparationQuotient α ≃+* α ⧸ (⊥ : Ideal α).closure :=
+  (sepQuotHomeomorphRingQuot _).ringEquiv
+
+instance topologicalRing [CommRing α] [TopologicalSpace α] [TopologicalRing α] :
+    TopologicalRing (SeparationQuotient α) where
+  toContinuousAdd :=
+    Inducing.continuousAdd (sepQuotRingEquivRingQuot α) (sepQuotHomeomorphRingQuot α).inducing
+  toContinuousMul :=
+    Inducing.continuousMul (sepQuotRingEquivRingQuot α) (sepQuotHomeomorphRingQuot α).inducing
+  toContinuousNeg :=
+    Inducing.continuousNeg (sepQuotHomeomorphRingQuot α).inducing <|
+      map_neg (sepQuotRingEquivRingQuot α)
 #align uniform_space.topological_ring UniformSpace.topologicalRing
 
 end UniformSpace

We remove all but one open Classicals, instead preferring to use open scoped Classical. The only real side-effect this led to is moving a couple declarations to use Exists.choose instead of Classical.choose.

The first few commits are explicitly labelled regex replaces for ease of review.

@@ -35,9 +35,10 @@ TODO: Generalise the results here from the concrete `Completion` to any `Abstrac
 -/
 
 
-open Classical Set Filter TopologicalSpace AddCommGroup
+open scoped Classical
+open Set Filter TopologicalSpace AddCommGroup
 
-open Classical
+open scoped Classical
 
 noncomputable section
 

I used the regex \(\(· (.) ·\) (.)\), replacing with ($2 $1 ·).

@@ -191,7 +191,7 @@ variable (A : Type*) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalR
 
 @[simp]
 theorem map_smul_eq_mul_coe (r : R) :
-    Completion.map ((· • ·) r) = (· * ·) (algebraMap R A r : Completion A) := by
+    Completion.map (r • ·) = ((algebraMap R A r : Completion A) * ·) := by
   ext x
   refine' Completion.induction_on x _ fun a => _
   · exact isClosed_eq Completion.continuous_map (continuous_mul_left _)

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

This has nice performance benefits.

@@ -47,7 +47,7 @@ namespace UniformSpace.Completion
 open DenseInducing UniformSpace Function
 
 section one_and_mul
-variable (α : Type _) [Ring α] [UniformSpace α]
+variable (α : Type*) [Ring α] [UniformSpace α]
 
 instance one : One (Completion α) :=
   ⟨(1 : α)⟩
@@ -62,7 +62,7 @@ theorem coe_one : ((1 : α) : Completion α) = 1 :=
 
 end one_and_mul
 
-variable {α : Type _} [Ring α] [UniformSpace α] [TopologicalRing α]
+variable {α : Type*} [Ring α] [UniformSpace α] [TopologicalRing α]
 
 @[norm_cast]
 theorem coe_mul (a b : α) : ((a * b : α) : Completion α) = a * b :=
@@ -82,7 +82,7 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
   convert di.extend_Z_bilin di this
 #align uniform_space.completion.continuous_mul UniformSpace.Completion.continuous_mul
 
-theorem Continuous.mul {β : Type _} [TopologicalSpace β] {f g : β → Completion α}
+theorem Continuous.mul {β : Type*} [TopologicalSpace β] {f g : β → Completion α}
     (hf : Continuous f) (hg : Continuous g) : Continuous fun b => f b * g b :=
   Continuous.comp continuous_mul (Continuous.prod_mk hf hg : _)
 #align uniform_space.completion.continuous.mul UniformSpace.Completion.Continuous.mul
@@ -186,7 +186,7 @@ def mapRingHom (hf : Continuous f) : Completion α →+* Completion β :=
 
 section Algebra
 
-variable (A : Type _) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type _)
+variable (A : Type*) [Ring A] [UniformSpace A] [UniformAddGroup A] [TopologicalRing A] (R : Type*)
   [CommSemiring R] [Algebra R A] [UniformContinuousConstSMul R A]
 
 @[simp]
@@ -215,7 +215,7 @@ end Algebra
 
 section CommRing
 
-variable (R : Type _) [CommRing R] [UniformSpace R] [UniformAddGroup R] [TopologicalRing R]
+variable (R : Type*) [CommRing R] [UniformSpace R] [UniformAddGroup R] [TopologicalRing R]
 
 instance commRing : CommRing (Completion R) :=
   { Completion.ring with
@@ -234,7 +234,7 @@ end UniformSpace.Completion
 
 namespace UniformSpace
 
-variable {α : Type _}
+variable {α : Type*}
 
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
@@ -274,11 +274,11 @@ end UniformSpace
 
 section UniformExtension
 
-variable {α : Type _} [UniformSpace α] [Semiring α]
+variable {α : Type*} [UniformSpace α] [Semiring α]
 
-variable {β : Type _} [UniformSpace β] [Semiring β] [TopologicalSemiring β]
+variable {β : Type*} [UniformSpace β] [Semiring β] [TopologicalSemiring β]
 
-variable {γ : Type _} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
+variable {γ : Type*} [UniformSpace γ] [Semiring γ] [TopologicalSemiring γ]
 
 variable [T2Space γ] [CompleteSpace γ]
 

• depends on: #5966

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

@@ -2,16 +2,13 @@
 Copyright (c) 2018 Patrick Massot. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Patrick Massot, Johannes Hölzl
-
-! This file was ported from Lean 3 source module topology.algebra.uniform_ring
-! leanprover-community/mathlib commit 9a59dcb7a2d06bf55da57b9030169219980660cd
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Basic
 import Mathlib.Topology.Algebra.GroupCompletion
 import Mathlib.Topology.Algebra.Ring.Ideal
 
+#align_import topology.algebra.uniform_ring from "leanprover-community/mathlib"@"9a59dcb7a2d06bf55da57b9030169219980660cd"
+
 /-!
 # Completion of topological rings:
 

Too often tempted to change these during other PRs, so doing a mass edit here.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

@@ -291,7 +291,7 @@ noncomputable def DenseInducing.extendRingHom {i : α →+* β} {f : α →+* γ
   toFun := (ue.denseInducing dr).extend f
   map_one' := by
     convert DenseInducing.extend_eq (ue.denseInducing dr) hf.continuous 1
-    exacts[i.map_one.symm, f.map_one.symm]
+    exacts [i.map_one.symm, f.map_one.symm]
   map_zero' := by
     convert DenseInducing.extend_eq (ue.denseInducing dr) hf.continuous 0 <;>
     simp only [map_zero]

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>

@@ -239,7 +239,6 @@ namespace UniformSpace
 
 variable {α : Type _}
 
-set_option synthInstance.etaExperiment true in
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
@@ -252,7 +251,6 @@ theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [Uniform
   rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 
-set_option synthInstance.etaExperiment true in
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/

closes #3680, see https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Stepping.20through.20simp_rw/near/326712986

@@ -166,7 +166,7 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
           ((continuous_extension.comp continuous_fst).add
             (continuous_extension.comp continuous_snd)))
         fun a b => by
-        simp_rw [← coe_add, extension_coe hf, extension_coe hf, extension_coe hf, f.map_add]
+        simp_rw [← coe_add, extension_coe hf, f.map_add]
     map_one' := by rw [← coe_one, extension_coe hf, f.map_one]
     map_mul' := fun a b =>
       Completion.induction_on₂ a b
@@ -174,7 +174,7 @@ def extensionHom [CompleteSpace β] [SeparatedSpace β] : Completion α →+* β
           ((continuous_extension.comp continuous_fst).mul
             (continuous_extension.comp continuous_snd)))
         fun a b => by
-        simp_rw [← coe_mul, extension_coe hf, extension_coe hf, extension_coe hf, f.map_mul] }
+        simp_rw [← coe_mul, extension_coe hf, f.map_mul] }
 #align uniform_space.completion.extension_hom UniformSpace.Completion.extensionHom
 
 instance topologicalRing : TopologicalRing (Completion α) where

This is to fix timeouts in https://github.com/leanprover-community/mathlib4/pull/3552.

See discussion at https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/!4.233552.20.28LinearAlgebra.2EMatrix.2EToLin.29.

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

@@ -239,6 +239,7 @@ namespace UniformSpace
 
 variable {α : Type _}
 
+set_option synthInstance.etaExperiment true in
 theorem ring_sep_rel (α) [CommRing α] [UniformSpace α] [UniformAddGroup α] [TopologicalRing α] :
     separationSetoid α = Submodule.quotientRel (Ideal.closure ⊥) :=
   Setoid.ext fun x y =>
@@ -251,6 +252,7 @@ theorem ring_sep_quot (α : Type u) [r : CommRing α] [UniformSpace α] [Uniform
   rfl
 #align uniform_space.ring_sep_quot UniformSpace.ring_sep_quot
 
+set_option synthInstance.etaExperiment true in
 /-- Given a topological ring `α` equipped with a uniform structure that makes subtraction uniformly
 continuous, get an equivalence between the separated quotient of `α` and the quotient ring
 corresponding to the closure of zero. -/

@@ -79,7 +79,7 @@ theorem continuous_mul : Continuous fun p : Completion α × Completion α => p.
   let m := (AddMonoidHom.mul : α →+ α →+ α).compr₂ toCompl
   have : Continuous fun p : α × α => m p.1 p.2 := by
     apply (continuous_coe α).comp _
-    simp only [AddMonoidHom.coe_mul, AddMonoidHom.coe_mul_left]
+    simp only [AddMonoidHom.coe_mul, AddMonoidHom.coe_mulLeft]
     exact _root_.continuous_mul
   have di : DenseInducing (toCompl : α → Completion α) := denseInducing_coe
   convert di.extend_Z_bilin di this

Co-authored-by: Jireh Loreaux <loreaujy@gmail.com>