ring_theory.localization.as_subring | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

649ca66b

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

38df578a

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,7 +3,7 @@ Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz, Junyan Xu
 -/
-import Mathbin.RingTheory.Localization.LocalizationLocalization
+import RingTheory.Localization.LocalizationLocalization
 
 #align_import ring_theory.localization.as_subring from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"

38df578a

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz, Junyan Xu
-
-! This file was ported from Lean 3 source module ring_theory.localization.as_subring
-! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.Localization.LocalizationLocalization
 
+#align_import ring_theory.localization.as_subring from "leanprover-community/mathlib"@"38df578a6450a8c5142b3727e3ae894c2300cae0"
+
 /-!
 
 # Localizations of domains as subalgebras of the fraction field.

38df578a

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -34,24 +34,31 @@ section CommRing
 
 variable [CommRing K] [Algebra A K] [IsFractionRing A K]
 
+#print Localization.map_isUnit_of_le /-
 theorem map_isUnit_of_le (hS : S ≤ A⁰) (s : S) : IsUnit (algebraMap A K s) := by
   apply IsLocalization.map_units K (⟨s.1, hS s.2⟩ : A⁰)
 #align localization.map_is_unit_of_le Localization.map_isUnit_of_le
+-/
 
+#print Localization.mapToFractionRing /-
 /-- The canonical map from a localization of `A` at `S` to the fraction ring
   of `A`, given that `S ≤ A⁰`. -/
 noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) : B →ₐ[A] K :=
   { IsLocalization.lift (map_isUnit_of_le K S hS) with commutes' := fun a => by simp }
 #align localization.map_to_fraction_ring Localization.mapToFractionRing
+-/
 
+#print Localization.mapToFractionRing_apply /-
 @[simp]
 theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (b : B) :
     mapToFractionRing K S B hS b = IsLocalization.lift (map_isUnit_of_le K S hS) b :=
   rfl
 #align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_apply
+-/
 
+#print Localization.mem_range_mapToFractionRing_iff /-
 theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
@@ -63,7 +70,9 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
     rintro ⟨a, s, hs, rfl⟩; use IsLocalization.mk' _ a ⟨s, hs⟩
     apply IsLocalization.lift_mk'⟩
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
+-/
 
+#print Localization.isLocalization_range_mapToFractionRing /-
 instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsLocalization S (mapToFractionRing K S B hS).range :=
   IsLocalization.isLocalization_of_algEquiv S <|
@@ -76,12 +85,16 @@ instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algeb
             ⟨fun h => congr_arg _ (IsLocalization.injective _ hS h), fun h =>
               congr_arg _ (IsFractionRing.injective A K h)⟩)
 #align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRing
+-/
 
+#print Localization.isFractionRing_range_mapToFractionRing /-
 instance isFractionRing_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsFractionRing (mapToFractionRing K S B hS).range K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRing
+-/
 
+#print Localization.subalgebra /-
 /-- Given a commutative ring `A` with fraction ring `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -94,16 +107,21 @@ noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
       {x | ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩} <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff
 #align localization.subalgebra Localization.subalgebra
+-/
 
 namespace Subalgebra
 
+#print Localization.subalgebra.isLocalization_subalgebra /-
 instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) := by
   dsimp only [Localization.subalgebra]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebra
+-/
 
+#print Localization.subalgebra.isFractionRing /-
 instance isFractionRing : IsFractionRing (subalgebra K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring Localization.subalgebra.isFractionRing
+-/
 
 end Subalgebra
 
@@ -115,6 +133,7 @@ variable [Field K] [Algebra A K] [IsFractionRing A K]
 
 namespace Subalgebra
 
+#print Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField /-
 theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
@@ -123,7 +142,9 @@ theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algeb
   rw [mem_range_map_to_fraction_ring_iff]
   iterate 3 congr with; convert Iff.rfl; rw [Units.val_inv_eq_inv_val]; rfl
 #align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField
+-/
 
+#print Localization.subalgebra.ofField /-
 /-- Given a domain `A` with fraction field `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -136,14 +157,19 @@ noncomputable def ofField : Subalgebra A K :=
       {x | ∃ (a s : A) (hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹} <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField
+-/
 
+#print Localization.subalgebra.isLocalization_ofField /-
 instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) := by
   dsimp only [Localization.subalgebra.ofField]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofField
+-/
 
+#print Localization.subalgebra.isFractionRing_ofField /-
 instance isFractionRing_ofField : IsFractionRing (subalgebra.ofField K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring_of_field Localization.subalgebra.isFractionRing_ofField
+-/
 
 end Subalgebra

38df578a

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -91,7 +91,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 -/
 noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
-      { x | ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ } <|
+      {x | ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩} <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff
 #align localization.subalgebra Localization.subalgebra
 
@@ -133,7 +133,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 -/
 noncomputable def ofField : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
-      { x | ∃ (a s : A) (hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ } <|
+      {x | ∃ (a s : A) (hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹} <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField

38df578a

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -55,7 +55,7 @@ theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocal
 theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
-      ∃ (a s : A)(hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ :=
+      ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ :=
   ⟨by
     rintro ⟨x, rfl⟩; obtain ⟨a, s, rfl⟩ := IsLocalization.mk'_surjective S x
     use a, s, s.2; apply IsLocalization.lift_mk',
@@ -91,7 +91,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 -/
 noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
-      { x | ∃ (a s : A)(hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ } <|
+      { x | ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ } <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff
 #align localization.subalgebra Localization.subalgebra
 
@@ -118,10 +118,10 @@ namespace Subalgebra
 theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
-      ∃ (a s : A)(hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ :=
+      ∃ (a s : A) (hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ :=
   by
   rw [mem_range_map_to_fraction_ring_iff]
-  iterate 3 congr with ; convert Iff.rfl; rw [Units.val_inv_eq_inv_val]; rfl
+  iterate 3 congr with; convert Iff.rfl; rw [Units.val_inv_eq_inv_val]; rfl
 #align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField
 
 /-- Given a domain `A` with fraction field `K`, and a submonoid `S` of `A` which
@@ -133,7 +133,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 -/
 noncomputable def ofField : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
-      { x | ∃ (a s : A)(hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ } <|
+      { x | ∃ (a s : A) (hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ } <|
     by ext; symm; apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField

38df578a

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -26,7 +26,7 @@ as a subalgebra of the field `K` over `A`.
 
 namespace Localization
 
-open nonZeroDivisors
+open scoped nonZeroDivisors
 
 variable {A : Type _} (K : Type _) [CommRing A] (S : Submonoid A) (hS : S ≤ A⁰)

38df578a

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -34,19 +34,10 @@ section CommRing
 
 variable [CommRing K] [Algebra A K] [IsFractionRing A K]
 
-/- warning: localization.map_is_unit_of_le -> Localization.map_isUnit_of_le is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.map_is_unit_of_le Localization.map_isUnit_of_leₓ'. -/
 theorem map_isUnit_of_le (hS : S ≤ A⁰) (s : S) : IsUnit (algebraMap A K s) := by
   apply IsLocalization.map_units K (⟨s.1, hS s.2⟩ : A⁰)
 #align localization.map_is_unit_of_le Localization.map_isUnit_of_le
 
-/- warning: localization.map_to_fraction_ring -> Localization.mapToFractionRing is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3)
-but is expected to have type
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) -> (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_6 _inst_3)
-Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring Localization.mapToFractionRingₓ'. -/
 /-- The canonical map from a localization of `A` at `S` to the fraction ring
   of `A`, given that `S ≤ A⁰`. -/
 noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
@@ -54,9 +45,6 @@ noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsL
   { IsLocalization.lift (map_isUnit_of_le K S hS) with commutes' := fun a => by simp }
 #align localization.map_to_fraction_ring Localization.mapToFractionRing
 
-/- warning: localization.map_to_fraction_ring_apply -> Localization.mapToFractionRing_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_applyₓ'. -/
 @[simp]
 theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (b : B) :
@@ -64,9 +52,6 @@ theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocal
   rfl
 #align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_apply
 
-/- warning: localization.mem_range_map_to_fraction_ring_iff -> Localization.mem_range_mapToFractionRing_iff is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iffₓ'. -/
 theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
@@ -79,9 +64,6 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
     apply IsLocalization.lift_mk'⟩
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
 
-/- warning: localization.is_localization_range_map_to_fraction_ring -> Localization.isLocalization_range_mapToFractionRing is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRingₓ'. -/
 instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsLocalization S (mapToFractionRing K S B hS).range :=
   IsLocalization.isLocalization_of_algEquiv S <|
@@ -95,20 +77,11 @@ instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algeb
               congr_arg _ (IsFractionRing.injective A K h)⟩)
 #align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRing
 
-/- warning: localization.is_fraction_ring_range_map_to_fraction_ring -> Localization.isFractionRing_range_mapToFractionRing is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRingₓ'. -/
 instance isFractionRing_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsFractionRing (mapToFractionRing K S B hS).range K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRing
 
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-Case conversion may be inaccurate. Consider using '#align localization.subalgebra Localization.subalgebraₓ'. -/
 /-- Given a commutative ring `A` with fraction ring `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -124,22 +97,10 @@ noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
 
 namespace Subalgebra
 
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 instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) := by
   dsimp only [Localization.subalgebra]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebra
 
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-Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_fraction_ring Localization.subalgebra.isFractionRingₓ'. -/
 instance isFractionRing : IsFractionRing (subalgebra K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring Localization.subalgebra.isFractionRing
@@ -154,9 +115,6 @@ variable [Field K] [Algebra A K] [IsFractionRing A K]
 
 namespace Subalgebra
 
-/- warning: localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field -> Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofFieldₓ'. -/
 theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
@@ -166,12 +124,6 @@ theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algeb
   iterate 3 congr with ; convert Iff.rfl; rw [Units.val_inv_eq_inv_val]; rfl
 #align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField
 
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-Case conversion may be inaccurate. Consider using '#align localization.subalgebra.of_field Localization.subalgebra.ofFieldₓ'. -/
 /-- Given a domain `A` with fraction field `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -185,22 +137,10 @@ noncomputable def ofField : Subalgebra A K :=
     by ext; symm; apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField
 
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-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3)) x (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
-Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofFieldₓ'. -/
 instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) := by
   dsimp only [Localization.subalgebra.ofField]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofField
 
-/- warning: localization.subalgebra.is_fraction_ring_of_field -> Localization.subalgebra.isFractionRing_ofField is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsFractionRing.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3)) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3 (Algebra.id.{u2} K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
-but is expected to have type
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-Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_fraction_ring_of_field Localization.subalgebra.isFractionRing_ofFieldₓ'. -/
 instance isFractionRing_ofField : IsFractionRing (subalgebra.ofField K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring_of_field Localization.subalgebra.isFractionRing_ofField

38df578a

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -72,12 +72,10 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
     x ∈ (mapToFractionRing K S B hS).range ↔
       ∃ (a s : A)(hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ :=
   ⟨by
-    rintro ⟨x, rfl⟩
-    obtain ⟨a, s, rfl⟩ := IsLocalization.mk'_surjective S x
-    use a, s, s.2
-    apply IsLocalization.lift_mk', by
-    rintro ⟨a, s, hs, rfl⟩
-    use IsLocalization.mk' _ a ⟨s, hs⟩
+    rintro ⟨x, rfl⟩; obtain ⟨a, s, rfl⟩ := IsLocalization.mk'_surjective S x
+    use a, s, s.2; apply IsLocalization.lift_mk',
+    by
+    rintro ⟨a, s, hs, rfl⟩; use IsLocalization.mk' _ a ⟨s, hs⟩
     apply IsLocalization.lift_mk'⟩
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
 
@@ -121,10 +119,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
       { x | ∃ (a s : A)(hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ } <|
-    by
-    ext
-    symm
-    apply mem_range_map_to_fraction_ring_iff
+    by ext; symm; apply mem_range_map_to_fraction_ring_iff
 #align localization.subalgebra Localization.subalgebra
 
 namespace Subalgebra
@@ -135,11 +130,8 @@ lean 3 declaration is
 but is expected to have type
   forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))
 Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebraₓ'. -/
-instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) :=
-  by
-  dsimp only [Localization.subalgebra]
-  rw [Subalgebra.copy_eq]
-  infer_instance
+instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) := by
+  dsimp only [Localization.subalgebra]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebra
 
 /- warning: localization.subalgebra.is_fraction_ring -> Localization.subalgebra.isFractionRing is a dubious translation:
@@ -190,10 +182,7 @@ The carrier of this subalgebra is defined as the set of all `x : K` of the form
 noncomputable def ofField : Subalgebra A K :=
   (mapToFractionRing K S (Localization S) hS).range.copy
       { x | ∃ (a s : A)(hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ } <|
-    by
-    ext
-    symm
-    apply mem_range_map_to_fraction_ring_iff_of_field
+    by ext; symm; apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField
 
 /- warning: localization.subalgebra.is_localization_of_field -> Localization.subalgebra.isLocalization_ofField is a dubious translation:
@@ -202,11 +191,8 @@ lean 3 declaration is
 but is expected to have type
   forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3)) x (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
 Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofFieldₓ'. -/
-instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) :=
-  by
-  dsimp only [Localization.subalgebra.ofField]
-  rw [Subalgebra.copy_eq]
-  infer_instance
+instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) := by
+  dsimp only [Localization.subalgebra.ofField]; rw [Subalgebra.copy_eq]; infer_instance
 #align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofField
 
 /- warning: localization.subalgebra.is_fraction_ring_of_field -> Localization.subalgebra.isFractionRing_ofField is a dubious translation:

38df578a

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -35,10 +35,7 @@ section CommRing
 variable [CommRing K] [Algebra A K] [IsFractionRing A K]
 
 /- warning: localization.map_is_unit_of_le -> Localization.map_isUnit_of_le is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (forall (s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S), IsUnit.{u2} K (Ring.toMonoid.{u2} K (CommRing.toRing.{u2} K _inst_2)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A 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(NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) x S))))) s)))
-but is expected to have type
-  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3], (LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) -> (forall (s : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) x S)), IsUnit.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) 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(Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) 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(CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) S)) s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.map_is_unit_of_le Localization.map_isUnit_of_leₓ'. -/
 theorem map_isUnit_of_le (hS : S ≤ A⁰) (s : S) : IsUnit (algebraMap A K s) := by
   apply IsLocalization.map_units K (⟨s.1, hS s.2⟩ : A⁰)
@@ -58,10 +55,7 @@ noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsL
 #align localization.map_to_fraction_ring Localization.mapToFractionRing
 
 /- warning: localization.map_to_fraction_ring_apply -> Localization.mapToFractionRing_apply is a dubious translation:
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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B 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(Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u1 u3} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3 (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) (AlgHom.algHomClass.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3))))) (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => K) _x) (MulHomClass.toFunLike.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonUnitalNonAssocSemiring.toMul.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))) (RingHom.instRingHomClassRingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (IsLocalization.lift.{u2, u3, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_7 (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_applyₓ'. -/
 @[simp]
 theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]
@@ -71,10 +65,7 @@ theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocal
 #align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_apply
 
 /- warning: localization.mem_range_map_to_fraction_ring_iff -> Localization.mem_range_mapToFractionRing_iff is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A 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-but is expected to have type
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(CommRing.toCommSemiring.{u2} A _inst_1) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_3 _inst_4 a (Subtype.mk.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) s (hS s hs)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iffₓ'. -/
 theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
@@ -91,10 +82,7 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
 
 /- warning: localization.is_localization_range_map_to_fraction_ring -> Localization.isLocalization_range_mapToFractionRing is a dubious translation:
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-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))), IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
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-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))), IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRingₓ'. -/
 instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsLocalization S (mapToFractionRing K S B hS).range :=
@@ -110,10 +98,7 @@ instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algeb
 #align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRing
 
 /- warning: localization.is_fraction_ring_range_map_to_fraction_ring -> Localization.isFractionRing_range_mapToFractionRing is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))), IsFractionRing.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
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-  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))), IsFractionRing.{u2, u2} (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRingₓ'. -/
 instance isFractionRing_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsFractionRing (mapToFractionRing K S B hS).range K :=
@@ -178,10 +163,7 @@ variable [Field K] [Algebra A K] [IsFractionRing A K]
 namespace Subalgebra
 
 /- warning: localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field -> Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField is a dubious translation:
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(CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (x : K), Iff (Membership.Mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3) (SetLike.hasMem.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3) K (Subalgebra.setLike.{u1, u2} A K 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(Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) s)))))))
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-  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) [_inst_2 : Field.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)) _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (x : K), Iff (Membership.mem.{u1, u1} K (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3)) x (AlgHom.range.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3 (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)) _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Exists.{succ u2} A (fun (a : A) => Exists.{succ u2} A (fun (s : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) (fun (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) => Eq.{succ u1} K x (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (DivisionRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (Field.toDivisionRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) _inst_2)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))) _inst_3) a) (Inv.inv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) (Field.toInv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) _inst_2) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))) _inst_3) s)))))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofFieldₓ'. -/
 theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :

38df578a

bump to nightly-2023-05-24-06

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

fbc7b476

Diff

@@ -61,7 +61,7 @@ noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsL
 lean 3 declaration is
   forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] {B : Type.{u3}} [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (b : B), Eq.{succ u2} K (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) (fun (_x : AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) => B -> K) ([anonymous].{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) (fun (_x : RingHom.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) => B -> K) (RingHom.hasCoeToFun.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) (IsLocalization.lift.{u1, u3, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u2} K _inst_2) _inst_7 (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
 but is expected to have type
-  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3] {B : Type.{u3}} [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (b : B), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : B) => K) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2186 : B) => K) _x) (SMulHomClass.toFunLike.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (SMulZeroClass.toSMul.{u2, u3} A B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))))) (DistribSMul.toSMulZeroClass.{u2, u3} A B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))))) (DistribMulAction.toDistribSMul.{u2, u3} A B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6))))) (SMulZeroClass.toSMul.{u2, u1} A K (AddMonoid.toZero.{u1} K (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (DistribSMul.toSMulZeroClass.{u2, u1} A K (AddMonoid.toAddZeroClass.{u1} K (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, u1} A K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))))) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))))) (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u1 u3} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3 (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) (AlgHom.algHomClass.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3))))) (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => K) _x) (MulHomClass.toFunLike.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonUnitalNonAssocSemiring.toMul.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))) (RingHom.instRingHomClassRingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (IsLocalization.lift.{u2, u3, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_7 (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
+  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3] {B : Type.{u3}} [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (b : B), Eq.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : B) => K) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.GroupAction._hyg.2187 : B) => K) _x) (SMulHomClass.toFunLike.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (SMulZeroClass.toSMul.{u2, u3} A B (AddMonoid.toZero.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))))) (DistribSMul.toSMulZeroClass.{u2, u3} A B (AddMonoid.toAddZeroClass.{u3} B (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))))) (DistribMulAction.toDistribSMul.{u2, u3} A B (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6))))) (SMulZeroClass.toSMul.{u2, u1} A K (AddMonoid.toZero.{u1} K (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (DistribSMul.toSMulZeroClass.{u2, u1} A K (AddMonoid.toAddZeroClass.{u1} K (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (DistribMulAction.toDistribSMul.{u2, u1} A K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))))) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))))) (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u1 u3} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3 (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) (AlgHom.algHomClass.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3))))) (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => K) _x) (MulHomClass.toFunLike.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonUnitalNonAssocSemiring.toMul.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))) (RingHom.instRingHomClassRingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (IsLocalization.lift.{u2, u3, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_7 (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
 Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_applyₓ'. -/
 @[simp]
 theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]

38df578a

bump to nightly-2023-05-24-03

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

2c55cf2c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz, Junyan Xu
 
 ! This file was ported from Lean 3 source module ring_theory.localization.as_subring
-! leanprover-community/mathlib commit 649ca66bf4d62796b5eefef966e622d91aa471f3
+! leanprover-community/mathlib commit 38df578a6450a8c5142b3727e3ae894c2300cae0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.RingTheory.Localization.LocalizationLocalization
 
 # Localizations of domains as subalgebras of the fraction field.
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 Given a domain `A` with fraction field `K`, and a submonoid `S` of `A` which
 does not contain zero, this file constructs the localization of `A` at `S`
 as a subalgebra of the field `K` over `A`.

649ca66b

bump to nightly-2023-05-23-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/75e7fca56381d056096ce5d05e938f63a6567828

ed98987c

Diff

@@ -31,10 +31,22 @@ section CommRing
 
 variable [CommRing K] [Algebra A K] [IsFractionRing A K]
 
+/- warning: localization.map_is_unit_of_le -> Localization.map_isUnit_of_le is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (forall (s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) S), IsUnit.{u2} K (Ring.toMonoid.{u2} K (CommRing.toRing.{u2} K _inst_2)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A 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+but is expected to have type
+  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3], (LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) 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(Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Subtype.val.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Set.{u2} A) (Set.instMembershipSet.{u2} A) x (SetLike.coe.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) S)) s)))
+Case conversion may be inaccurate. Consider using '#align localization.map_is_unit_of_le Localization.map_isUnit_of_leₓ'. -/
 theorem map_isUnit_of_le (hS : S ≤ A⁰) (s : S) : IsUnit (algebraMap A K s) := by
   apply IsLocalization.map_units K (⟨s.1, hS s.2⟩ : A⁰)
 #align localization.map_is_unit_of_le Localization.map_isUnit_of_le
 
+/- warning: localization.map_to_fraction_ring -> Localization.mapToFractionRing is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3)
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) -> (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_6 _inst_3)
+Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring Localization.mapToFractionRingₓ'. -/
 /-- The canonical map from a localization of `A` at `S` to the fraction ring
   of `A`, given that `S ≤ A⁰`. -/
 noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
@@ -42,6 +54,12 @@ noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsL
   { IsLocalization.lift (map_isUnit_of_le K S hS) with commutes' := fun a => by simp }
 #align localization.map_to_fraction_ring Localization.mapToFractionRing
 
+/- warning: localization.map_to_fraction_ring_apply -> Localization.mapToFractionRing_apply is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] {B : Type.{u3}} [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (b : B), Eq.{succ u2} K (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) (fun (_x : AlgHom.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) => B -> K) ([anonymous].{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_6 _inst_3) (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (RingHom.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) (fun (_x : RingHom.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) => B -> K) (RingHom.hasCoeToFun.{u3, u2} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)))) (IsLocalization.lift.{u1, u3, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u2} K _inst_2) _inst_7 (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
+but is expected to have type
+  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3] {B : Type.{u3}} [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} 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(NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3))))) (DistribMulActionHomClass.toSMulHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (AddCommMonoid.toAddMonoid.{u3} B (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))))) (AddCommMonoid.toAddMonoid.{u1} K (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (NonUnitalAlgHomClass.toDistribMulActionHomClass.{max u1 u3, u2, u3, u1} (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) A B K (MonoidWithZero.toMonoid.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (Module.toDistribMulAction.{u2, u3} A B (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (Algebra.toModule.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6)) (Module.toDistribMulAction.{u2, u1} A K (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (Algebra.toModule.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) (AlgHom.instNonUnitalAlgHomClassToMonoidToMonoidWithZeroToSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToNonUnitalNonAssocSemiringToNonAssocSemiringToDistribMulActionToAddCommMonoidToModuleToDistribMulActionToAddCommMonoidToModule.{u2, u3, u1, max u1 u3} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3 (AlgHom.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3) (AlgHom.algHomClass.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_6 _inst_3))))) (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS) b) (FunLike.coe.{max (succ u1) (succ u3), succ u3, succ u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => K) _x) (MulHomClass.toFunLike.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonUnitalNonAssocSemiring.toMul.{u3} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} B (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u3, u1} (RingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)))) B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))) (RingHom.instRingHomClassRingHom.{u3, u1} B K (Semiring.toNonAssocSemiring.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))))))) (IsLocalization.lift.{u2, u3, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6 K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_7 (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (Localization.map_isUnit_of_le.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) b)
+Case conversion may be inaccurate. Consider using '#align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_applyₓ'. -/
 @[simp]
 theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (b : B) :
@@ -49,6 +67,12 @@ theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocal
   rfl
 #align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_apply
 
+/- warning: localization.mem_range_map_to_fraction_ring_iff -> Localization.mem_range_mapToFractionRing_iff is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A 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_inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) (x : K), Iff (Membership.Mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) (SetLike.hasMem.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Exists.{succ u1} A (fun (a : A) => Exists.{succ u1} A (fun (s : A) => Exists.{0} (Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) s S) (fun (hs : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) s S) => Eq.{succ u2} K x (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1)))) K (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 _inst_4 a (Subtype.mk.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) s (hS s hs)))))))
+but is expected to have type
+  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) [_inst_2 : CommRing.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (x : K), Iff (Membership.mem.{u1, u1} K (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3)) x (AlgHom.range.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Exists.{succ u2} A (fun (a : A) => Exists.{succ u2} A (fun (s : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) (fun (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) => Eq.{succ u1} K x (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) K (CommRing.toCommSemiring.{u1} K _inst_2) _inst_3 _inst_4 a (Subtype.mk.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) s (hS s hs)))))))
+Case conversion may be inaccurate. Consider using '#align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iffₓ'. -/
 theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
@@ -63,6 +87,12 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
     apply IsLocalization.lift_mk'⟩
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
 
+/- warning: localization.is_localization_range_map_to_fraction_ring -> Localization.isLocalization_range_mapToFractionRing is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))), IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))), IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+Case conversion may be inaccurate. Consider using '#align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRingₓ'. -/
 instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsLocalization S (mapToFractionRing K S B hS).range :=
   IsLocalization.isLocalization_of_algEquiv S <|
@@ -76,11 +106,23 @@ instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algeb
               congr_arg _ (IsFractionRing.injective A K h)⟩)
 #align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRing
 
+/- warning: localization.is_fraction_ring_range_map_to_fraction_ring -> Localization.isFractionRing_range_mapToFractionRing is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))), IsFractionRing.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))), IsFractionRing.{u2, u2} (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S _inst_2 _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS)))
+Case conversion may be inaccurate. Consider using '#align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRingₓ'. -/
 instance isFractionRing_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsFractionRing (mapToFractionRing K S B hS).range K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRing
 
+/- warning: localization.subalgebra -> Localization.subalgebra is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) -> (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra Localization.subalgebraₓ'. -/
 /-- Given a commutative ring `A` with fraction ring `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -99,6 +141,12 @@ noncomputable def subalgebra (hS : S ≤ A⁰) : Subalgebra A K :=
 
 namespace Subalgebra
 
+/- warning: localization.subalgebra.is_localization_subalgebra -> Localization.subalgebra.isLocalization_subalgebra is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebraₓ'. -/
 instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) :=
   by
   dsimp only [Localization.subalgebra]
@@ -106,6 +154,12 @@ instance isLocalization_subalgebra : IsLocalization S (subalgebra K S hS) :=
   infer_instance
 #align localization.subalgebra.is_localization_subalgebra Localization.subalgebra.isLocalization_subalgebra
 
+/- warning: localization.subalgebra.is_fraction_ring -> Localization.subalgebra.isFractionRing is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], IsFractionRing.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3)) (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : CommRing.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K _inst_2 _inst_3], IsFractionRing.{u2, u2} (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3)) x (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 _inst_2 _inst_3 (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS)) K _inst_2 (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (CommRing.toCommSemiring.{u2} K _inst_2) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) _inst_3 (Algebra.id.{u2} K (CommRing.toCommSemiring.{u2} K _inst_2)) (Localization.subalgebra.{u1, u2} A K _inst_1 S _inst_2 _inst_3 _inst_4 hS))
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_fraction_ring Localization.subalgebra.isFractionRingₓ'. -/
 instance isFractionRing : IsFractionRing (subalgebra K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring Localization.subalgebra.isFractionRing
@@ -120,15 +174,27 @@ variable [Field K] [Algebra A K] [IsFractionRing A K]
 
 namespace Subalgebra
 
-theorem mem_range_mapToFractionRing_iff_of_field (B : Type _) [CommRing B] [Algebra A B]
+/- warning: localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field -> Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (x : K), Iff (Membership.Mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3) (SetLike.hasMem.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3)) x (AlgHom.range.{u1, u3, u2} A B K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_5)) _inst_6 (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3 (Localization.mapToFractionRing.{u1, u2, u3} A K _inst_1 S (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Exists.{succ u1} A (fun (a : A) => Exists.{succ u1} A (fun (s : A) => Exists.{0} (Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) s S) (fun (hs : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1))))))) s S) => Eq.{succ u2} K x (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) a) (Inv.inv.{u2} K (DivInvMonoid.toHasInv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) s)))))))
+but is expected to have type
+  forall {A : Type.{u2}} (K : Type.{u1}) [_inst_1 : CommRing.{u2} A] (S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) [_inst_2 : Field.{u1} K] [_inst_3 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))] [_inst_4 : IsFractionRing.{u2, u1} A _inst_1 K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)) _inst_3] (B : Type.{u3}) [_inst_5 : CommRing.{u3} B] [_inst_6 : Algebra.{u2, u3} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5))] [_inst_7 : IsLocalization.{u2, u3} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_5) _inst_6] (x : K), Iff (Membership.mem.{u1, u1} K (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3) (SetLike.instMembership.{u1, u1} (Subalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3)) x (AlgHom.range.{u2, u3, u1} A B K (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_5)) _inst_6 (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)))) _inst_3 (Localization.mapToFractionRing.{u2, u1, u3} A K _inst_1 S (EuclideanDomain.toCommRing.{u1} K (Field.toEuclideanDomain.{u1} K _inst_2)) _inst_3 _inst_4 B _inst_5 _inst_6 _inst_7 hS))) (Exists.{succ u2} A (fun (a : A) => Exists.{succ u2} A (fun (s : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) (fun (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))))) s S) => Eq.{succ u1} K x (HMul.hMul.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (instHMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (NonUnitalNonAssocRing.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (NonAssocRing.toNonUnitalNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (DivisionRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) (Field.toDivisionRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) a) _inst_2)))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))) _inst_3) a) (Inv.inv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) (Field.toInv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) _inst_2) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_2))) _inst_3) s)))))))
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofFieldₓ'. -/
+theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
       ∃ (a s : A)(hs : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ :=
   by
   rw [mem_range_map_to_fraction_ring_iff]
   iterate 3 congr with ; convert Iff.rfl; rw [Units.val_inv_eq_inv_val]; rfl
-#align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_of_field
-
+#align localization.subalgebra.mem_range_map_to_fraction_ring_iff_of_field Localization.subalgebra.mem_range_mapToFractionRing_iff_ofField
+
+/- warning: localization.subalgebra.of_field -> Localization.subalgebra.ofField is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))), (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) -> (forall [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3)
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))), (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) -> (forall [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3)
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.of_field Localization.subalgebra.ofFieldₓ'. -/
 /-- Given a domain `A` with fraction field `K`, and a submonoid `S` of `A` which
 contains no zero divisor, this is the localization of `A` at `S`, considered as
 a subalgebra of `K` over `A`.
@@ -145,6 +211,12 @@ noncomputable def ofField : Subalgebra A K :=
     apply mem_range_map_to_fraction_ring_iff_of_field
 #align localization.subalgebra.of_field Localization.subalgebra.ofField
 
+/- warning: localization.subalgebra.is_localization_of_field -> Localization.subalgebra.isLocalization_ofField is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3)) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsLocalization.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_1) S (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3)) x (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))) (Subalgebra.toCommSemiring.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofFieldₓ'. -/
 instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) :=
   by
   dsimp only [Localization.subalgebra.ofField]
@@ -152,6 +224,12 @@ instance isLocalization_ofField : IsLocalization S (subalgebra.ofField K S hS) :
   infer_instance
 #align localization.subalgebra.is_localization_of_field Localization.subalgebra.isLocalization_ofField
 
+/- warning: localization.subalgebra.is_fraction_ring_of_field -> Localization.subalgebra.isFractionRing_ofField is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsFractionRing.{u2, u2} (coeSort.{succ u2, succ (succ u2)} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) Type.{u2} (SetLike.hasCoeToSort.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3) K (Subalgebra.setLike.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_2))) _inst_3)) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3 (Algebra.id.{u2} K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
+but is expected to have type
+  forall {A : Type.{u1}} (K : Type.{u2}) [_inst_1 : CommRing.{u1} A] (S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))))) [_inst_2 : Field.{u2} K] [_inst_3 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)))] [_inst_4 : IsFractionRing.{u1, u2} A _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3], IsFractionRing.{u2, u2} (Subtype.{succ u2} K (fun (x : K) => Membership.mem.{u2, u2} K (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) (SetLike.instMembership.{u2, u2} (Subalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3) K (Subalgebra.instSetLikeSubalgebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) _inst_3)) x (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))) (Subalgebra.toCommRing.{u1, u2} A K _inst_1 (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) _inst_3 (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4)) K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)) (Subalgebra.toAlgebra.{u2, u1, u2} K A K (CommRing.toCommSemiring.{u1} A _inst_1) (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2)) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_2)))) _inst_3 (Algebra.id.{u2} K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_2))) (Localization.subalgebra.ofField.{u1, u2} A K _inst_1 S hS _inst_2 _inst_3 _inst_4))
+Case conversion may be inaccurate. Consider using '#align localization.subalgebra.is_fraction_ring_of_field Localization.subalgebra.isFractionRing_ofFieldₓ'. -/
 instance isFractionRing_ofField : IsFractionRing (subalgebra.ofField K S hS) K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.subalgebra.is_fraction_ring_of_field Localization.subalgebra.isFractionRing_ofField

649ca66b

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

649ca66b

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -22,7 +22,7 @@ namespace Localization
 
 open nonZeroDivisors
 
-variable {A : Type _} (K : Type _) [CommRing A] (S : Submonoid A) (hS : S ≤ A⁰)
+variable {A : Type*} (K : Type*) [CommRing A] (S : Submonoid A) (hS : S ≤ A⁰)
 
 section CommRing
 
@@ -34,19 +34,19 @@ theorem map_isUnit_of_le (hS : S ≤ A⁰) (s : S) : IsUnit (algebraMap A K s) :
 
 /-- The canonical map from a localization of `A` at `S` to the fraction ring
   of `A`, given that `S ≤ A⁰`. -/
-noncomputable def mapToFractionRing (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
+noncomputable def mapToFractionRing (B : Type*) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) : B →ₐ[A] K :=
   { IsLocalization.lift (map_isUnit_of_le K S hS) with commutes' := fun a => by simp }
 #align localization.map_to_fraction_ring Localization.mapToFractionRing
 
 @[simp]
-theorem mapToFractionRing_apply {B : Type _} [CommRing B] [Algebra A B] [IsLocalization S B]
+theorem mapToFractionRing_apply {B : Type*} [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (b : B) :
     mapToFractionRing K S B hS b = IsLocalization.lift (map_isUnit_of_le K S hS) b :=
   rfl
 #align localization.map_to_fraction_ring_apply Localization.mapToFractionRing_apply
 
-theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B] [IsLocalization S B]
+theorem mem_range_mapToFractionRing_iff (B : Type*) [CommRing B] [Algebra A B] [IsLocalization S B]
     (hS : S ≤ A⁰) (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
       ∃ (a s : A) (hs : s ∈ S), x = IsLocalization.mk' K a ⟨s, hS hs⟩ :=
@@ -60,7 +60,7 @@ theorem mem_range_mapToFractionRing_iff (B : Type _) [CommRing B] [Algebra A B]
     apply IsLocalization.lift_mk'⟩
 #align localization.mem_range_map_to_fraction_ring_iff Localization.mem_range_mapToFractionRing_iff
 
-instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
+instance isLocalization_range_mapToFractionRing (B : Type*) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsLocalization S (mapToFractionRing K S B hS).range :=
   IsLocalization.isLocalization_of_algEquiv S <|
     show B ≃ₐ[A] _ from AlgEquiv.ofBijective (mapToFractionRing K S B hS).rangeRestrict (by
@@ -70,7 +70,7 @@ instance isLocalization_range_mapToFractionRing (B : Type _) [CommRing B] [Algeb
         fun h => congr_arg _ (IsFractionRing.injective A K h)⟩)
 #align localization.is_localization_range_map_to_fraction_ring Localization.isLocalization_range_mapToFractionRing
 
-instance isFractionRing_range_mapToFractionRing (B : Type _) [CommRing B] [Algebra A B]
+instance isFractionRing_range_mapToFractionRing (B : Type*) [CommRing B] [Algebra A B]
     [IsLocalization S B] (hS : S ≤ A⁰) : IsFractionRing (mapToFractionRing K S B hS).range K :=
   IsFractionRing.isFractionRing_of_isLocalization S _ _ hS
 #align localization.is_fraction_ring_range_map_to_fraction_ring Localization.isFractionRing_range_mapToFractionRing
@@ -112,7 +112,7 @@ variable [Field K] [Algebra A K] [IsFractionRing A K]
 
 namespace subalgebra
 
-theorem mem_range_mapToFractionRing_iff_ofField (B : Type _) [CommRing B] [Algebra A B]
+theorem mem_range_mapToFractionRing_iff_ofField (B : Type*) [CommRing B] [Algebra A B]
     [IsLocalization S B] (x : K) :
     x ∈ (mapToFractionRing K S B hS).range ↔
       ∃ (a s : A) (_ : s ∈ S), x = algebraMap A K a * (algebraMap A K s)⁻¹ := by

649ca66b

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,14 +2,11 @@
 Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz, Junyan Xu
-
-! This file was ported from Lean 3 source module ring_theory.localization.as_subring
-! leanprover-community/mathlib commit 649ca66bf4d62796b5eefef966e622d91aa471f3
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.Localization.LocalizationLocalization
 
+#align_import ring_theory.localization.as_subring from "leanprover-community/mathlib"@"649ca66bf4d62796b5eefef966e622d91aa471f3"
+
 /-!
 
 # Localizations of domains as subalgebras of the fraction field.

649ca66b

feat: port RingTheory.Localization.AsSubring (#4201)

b8d6cde7

`ring_theory.localization.as_subring` ⟷ `Mathlib.RingTheory.Localization.AsSubring`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 546

ring_theory.localization.as_subring ⟷ Mathlib.RingTheory.Localization.AsSubring

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 546

`ring_theory.localization.as_subring` ⟷ `Mathlib.RingTheory.Localization.AsSubring`