ring_theory.localization.fraction_ring ⟷ Mathlib.RingTheory.Localization.FractionRing

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

@@ -60,7 +60,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
   surj := by
     rintro ⟨n, d, hd, h⟩
     refine' ⟨⟨n, ⟨d, _⟩⟩, Rat.mul_den_eq_num⟩
-    rwa [mem_nonZeroDivisors_iff_ne_zero, Int.coe_nat_ne_zero_iff_pos]
+    rwa [mem_nonZeroDivisors_iff_ne_zero, Int.natCast_ne_zero_iff_pos]
   eq_iff_exists := by
     intro x y
     rw [eq_intCast, eq_intCast, Int.cast_inj]
@@ -180,7 +180,7 @@ variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L]
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
   mk'_eq_iff_eq_mul.2 <|
-    (div_mul_cancel (algebraMap A K r)
+    (div_mul_cancel₀ (algebraMap A K r)
         (IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors hs)).symm
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
 -/

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

@@ -55,7 +55,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     where
   map_units := by
     rintro ⟨x, hx⟩
-    rw [mem_nonZeroDivisors_iff_ne_zero] at hx 
+    rw [mem_nonZeroDivisors_iff_ne_zero] at hx
     simpa only [eq_intCast, isUnit_iff_ne_zero, Int.cast_eq_zero, Ne.def, Subtype.coe_mk] using hx
   surj := by
     rintro ⟨n, d, hd, h⟩
@@ -67,7 +67,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     refine' ⟨by rintro rfl; use 1, _⟩
     rintro ⟨⟨c, hc⟩, h⟩
     apply mul_left_cancel₀ _ h
-    rwa [mem_nonZeroDivisors_iff_ne_zero] at hc 
+    rwa [mem_nonZeroDivisors_iff_ne_zero] at hc
 #align rat.is_fraction_ring Rat.isFractionRing
 -/
 
@@ -196,7 +196,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 theorem div_surjective (z : K) :
     ∃ (x y : A) (hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
-  ⟨x, y, hy, by rwa [mk'_eq_div] at h ⟩
+  ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
 -/
 
@@ -214,7 +214,7 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
     mk' K x y = 0 ↔ x = 0 :=
   by
   refine' ⟨fun hxy => _, fun h => by rw [h, mk'_zero]⟩
-  · simp_rw [mk'_eq_zero_iff, mul_left_coe_nonZeroDivisors_eq_zero_iff] at hxy 
+  · simp_rw [mk'_eq_zero_iff, mul_left_coe_nonZeroDivisors_eq_zero_iff] at hxy
     exact (exists_const _).mp hxy
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
 -/
@@ -226,7 +226,7 @@ theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x
   · intro hxy;
     have hy : (algebraMap A K) ↑y ≠ (0 : K) :=
       IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors y.property
-    rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy 
+    rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy
     exact IsFractionRing.injective A K hxy
 #align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eq
 -/

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

@@ -3,8 +3,8 @@ Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
 -/
-import Mathbin.Algebra.Algebra.Tower
-import Mathbin.RingTheory.Localization.Basic
+import Algebra.Algebra.Tower
+import RingTheory.Localization.Basic
 
 #align_import ring_theory.localization.fraction_ring from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
 

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

@@ -2,15 +2,12 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-
-! This file was ported from Lean 3 source module ring_theory.localization.fraction_ring
-! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Algebra.Tower
 import Mathbin.RingTheory.Localization.Basic
 
+#align_import ring_theory.localization.fraction_ring from "leanprover-community/mathlib"@"8ef6f08ff8c781c5c07a8b12843710e1a0d8a688"
+
 /-!
 # Fraction ring / fraction field Frac(R) as localization
 

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

@@ -52,6 +52,7 @@ abbrev IsFractionRing [CommRing K] [Algebra R K] :=
 #align is_fraction_ring IsFractionRing
 -/
 
+#print Rat.isFractionRing /-
 /-- The cast from `int` to `rat` as a `fraction_ring`. -/
 instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     where
@@ -71,6 +72,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     apply mul_left_cancel₀ _ h
     rwa [mem_nonZeroDivisors_iff_ne_zero] at hc 
 #align rat.is_fraction_ring Rat.isFractionRing
+-/
 
 namespace IsFractionRing
 
@@ -82,15 +84,19 @@ section CommRing
 
 variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFractionRing A K]
 
+#print IsFractionRing.to_map_eq_zero_iff /-
 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
   to_map_eq_zero_iff _ (le_of_eq rfl)
 #align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iff
+-/
 
 variable (R K)
 
+#print IsFractionRing.injective /-
 protected theorem injective : Function.Injective (algebraMap R K) :=
   IsLocalization.injective _ (le_of_eq rfl)
 #align is_fraction_ring.injective IsFractionRing.injective
+-/
 
 variable {R K}
 
@@ -106,18 +112,22 @@ instance (priority := 100) [NoZeroDivisors K] : NoZeroSMulDivisors R K :=
 
 variable {R K}
 
+#print IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors /-
 protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
     (hx : x ∈ nonZeroDivisors R) : algebraMap R K x ≠ 0 :=
   IsLocalization.to_map_ne_zero_of_mem_nonZeroDivisors _ le_rfl hx
 #align is_fraction_ring.to_map_ne_zero_of_mem_non_zero_divisors IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors
+-/
 
 variable (A)
 
+#print IsFractionRing.isDomain /-
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is an
 integral domain. -/
 protected theorem isDomain : IsDomain K :=
   isDomain_of_le_nonZeroDivisors _ (le_refl (nonZeroDivisors A))
 #align is_fraction_ring.is_domain IsFractionRing.isDomain
+-/
 
 attribute [local instance] Classical.decEq
 
@@ -133,6 +143,7 @@ protected noncomputable irreducible_def inv (z : K) : K :=
 #align is_fraction_ring.inv IsFractionRing.inv
 -/
 
+#print IsFractionRing.mul_inv_cancel /-
 protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv A x = 1 :=
   by
   rw [IsFractionRing.inv, dif_neg hx, ←
@@ -145,6 +156,7 @@ protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv
   rw [mk'_spec, ← eq_mk'_iff_mul_eq]
   exact (mk'_sec _ x).symm
 #align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancel
+-/
 
 #print IsFractionRing.toField /-
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is a field.
@@ -167,30 +179,39 @@ end CommRing
 variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L] [Algebra A K]
   [IsFractionRing A K] {g : A →+* L}
 
+#print IsFractionRing.mk'_mk_eq_div /-
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
   mk'_eq_iff_eq_mul.2 <|
     (div_mul_cancel (algebraMap A K r)
         (IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors hs)).symm
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
+-/
 
+#print IsFractionRing.mk'_eq_div /-
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
   mk'_mk_eq_div s.2
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
+-/
 
+#print IsFractionRing.div_surjective /-
 theorem div_surjective (z : K) :
     ∃ (x y : A) (hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h ⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
+-/
 
+#print IsFractionRing.isUnit_map_of_injective /-
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
   IsUnit.mk0 (g y) <|
     show g.toMonoidWithZeroHom y ≠ 0 from map_ne_zero_of_mem_nonZeroDivisors g hg y.2
 #align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injective
+-/
 
+#print IsFractionRing.mk'_eq_zero_iff_eq_zero /-
 @[simp]
 theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y : nonZeroDivisors R} :
     mk' K x y = 0 ↔ x = 0 :=
@@ -199,7 +220,9 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
   · simp_rw [mk'_eq_zero_iff, mul_left_coe_nonZeroDivisors_eq_zero_iff] at hxy 
     exact (exists_const _).mp hxy
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
+-/
 
+#print IsFractionRing.mk'_eq_one_iff_eq /-
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
   refine' ⟨_, fun hxy => by rw [hxy, mk'_self']⟩
@@ -209,9 +232,11 @@ theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x
     rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy 
     exact IsFractionRing.injective A K hxy
 #align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eq
+-/
 
 open Function
 
+#print IsFractionRing.lift /-
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field, we get a
 field hom sending `z : K` to `g x * (g y)⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -219,7 +244,9 @@ such that `z = f x * (f y)⁻¹`. -/
 noncomputable def lift (hg : Injective g) : K →+* L :=
   lift fun y : nonZeroDivisors A => isUnit_map_of_injective hg y
 #align is_fraction_ring.lift IsFractionRing.lift
+-/
 
+#print IsFractionRing.lift_algebraMap /-
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 the field hom induced from `K` to `L` maps `x` to `g x` for all
@@ -228,7 +255,9 @@ the field hom induced from `K` to `L` maps `x` to `g x` for all
 theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g x :=
   lift_eq _ _
 #align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMap
+-/
 
+#print IsFractionRing.lift_mk' /-
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 field hom induced from `K` to `L` maps `f x / f y` to `g x / g y` for all
@@ -236,7 +265,9 @@ field hom induced from `K` to `L` maps `f x / f y` to `g x / g y` for all
 theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K x y) = g x / g y :=
   by simp only [mk'_eq_div, map_div₀, lift_algebra_map]
 #align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'
+-/
 
+#print IsFractionRing.map /-
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
 sending `z : K` to `g (j x) * (g (j y))⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -248,7 +279,9 @@ noncomputable def map {A B K L : Type _} [CommRing A] [CommRing B] [IsDomain B]
     (show nonZeroDivisors A ≤ (nonZeroDivisors B).comap j from
       nonZeroDivisors_le_comap_nonZeroDivisors_of_injective j hj)
 #align is_fraction_ring.map IsFractionRing.map
+-/
 
+#print IsFractionRing.fieldEquivOfRingEquiv /-
 /-- Given integral domains `A, B` and localization maps to their fields of fractions
 `f : A →+* K, g : B →+* L`, an isomorphism `j : A ≃+* B` induces an isomorphism of
 fields of fractions `K ≃+* L`. -/
@@ -262,9 +295,11 @@ noncomputable def fieldEquivOfRingEquiv [Algebra B L] [IsFractionRing B L] (h :
         mem_nonZeroDivisors_iff_ne_zero, mem_nonZeroDivisors_iff_ne_zero]
       exact h.symm.map_ne_zero_iff)
 #align is_fraction_ring.field_equiv_of_ring_equiv IsFractionRing.fieldEquivOfRingEquiv
+-/
 
 variable (S)
 
+#print IsFractionRing.isFractionRing_iff_of_base_ringEquiv /-
 theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     IsFractionRing R S ↔
       @IsFractionRing P _ S _ ((algebraMap R S).comp h.symm.toRingHom).toAlgebra :=
@@ -284,7 +319,9 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     apply hx
     rw [← h.symm.map_mul, hz, h.symm.map_zero]
 #align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquiv
+-/
 
+#print IsFractionRing.nontrivial /-
 protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S :=
   by
@@ -295,6 +332,7 @@ protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRin
     IsLocalization.injective S (le_of_eq rfl)
       (((algebraMap R S).map_zero.trans h).trans (algebraMap R S).map_one.symm)
 #align is_fraction_ring.nontrivial IsFractionRing.nontrivial
+-/
 
 end IsFractionRing
 
@@ -339,12 +377,14 @@ noncomputable instance : Field (FractionRing A) :=
     zsmul := SubNegMonoid.zsmul
     npow := Localization.npow _ }
 
+#print FractionRing.mk_eq_div /-
 @[simp]
 theorem mk_eq_div {r s} :
     (Localization.mk r s : FractionRing A) =
       (algebraMap _ _ r / algebraMap A _ s : FractionRing A) :=
   by rw [Localization.mk_eq_mk', IsFractionRing.mk'_eq_div]
 #align fraction_ring.mk_eq_div FractionRing.mk_eq_div
+-/
 
 noncomputable instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
     Algebra (FractionRing R) K :=
@@ -356,6 +396,7 @@ instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
 
 variable (A)
 
+#print FractionRing.algEquiv /-
 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient
 type and `K`. -/
@@ -363,6 +404,7 @@ noncomputable def algEquiv (K : Type _) [Field K] [Algebra A K] [IsFractionRing
     FractionRing A ≃ₐ[A] K :=
   Localization.algEquiv (nonZeroDivisors A) K
 #align fraction_ring.alg_equiv FractionRing.algEquiv
+-/
 
 instance [Algebra R A] [NoZeroSMulDivisors R A] : NoZeroSMulDivisors R (FractionRing A) :=
   NoZeroSMulDivisors.of_algebraMap_injective

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

@@ -57,7 +57,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     where
   map_units := by
     rintro ⟨x, hx⟩
-    rw [mem_nonZeroDivisors_iff_ne_zero] at hx
+    rw [mem_nonZeroDivisors_iff_ne_zero] at hx 
     simpa only [eq_intCast, isUnit_iff_ne_zero, Int.cast_eq_zero, Ne.def, Subtype.coe_mk] using hx
   surj := by
     rintro ⟨n, d, hd, h⟩
@@ -69,7 +69,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     refine' ⟨by rintro rfl; use 1, _⟩
     rintro ⟨⟨c, hc⟩, h⟩
     apply mul_left_cancel₀ _ h
-    rwa [mem_nonZeroDivisors_iff_ne_zero] at hc
+    rwa [mem_nonZeroDivisors_iff_ne_zero] at hc 
 #align rat.is_fraction_ring Rat.isFractionRing
 
 namespace IsFractionRing
@@ -180,9 +180,9 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
 theorem div_surjective (z : K) :
-    ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
+    ∃ (x y : A) (hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
-  ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
+  ⟨x, y, hy, by rwa [mk'_eq_div] at h ⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
 
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
@@ -196,7 +196,7 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
     mk' K x y = 0 ↔ x = 0 :=
   by
   refine' ⟨fun hxy => _, fun h => by rw [h, mk'_zero]⟩
-  · simp_rw [mk'_eq_zero_iff, mul_left_coe_nonZeroDivisors_eq_zero_iff] at hxy
+  · simp_rw [mk'_eq_zero_iff, mul_left_coe_nonZeroDivisors_eq_zero_iff] at hxy 
     exact (exists_const _).mp hxy
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
 
@@ -206,7 +206,7 @@ theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x
   · intro hxy;
     have hy : (algebraMap A K) ↑y ≠ (0 : K) :=
       IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors y.property
-    rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy
+    rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy 
     exact IsFractionRing.injective A K hxy
 #align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eq
 

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

@@ -52,12 +52,6 @@ abbrev IsFractionRing [CommRing K] [Algebra R K] :=
 #align is_fraction_ring IsFractionRing
 -/
 
-/- warning: rat.is_fraction_ring -> Rat.isFractionRing is a dubious translation:
-lean 3 declaration is
-  IsFractionRing.{0, 0} Int Int.commRing Rat Rat.commRing (algebraInt.{0} Rat (DivisionRing.toRing.{0} Rat Rat.divisionRing))
-but is expected to have type
-  IsFractionRing.{0, 0} Int Int.instCommRingInt Rat Rat.commRing (algebraInt.{0} Rat (StrictOrderedRing.toRing.{0} Rat (LinearOrderedRing.toStrictOrderedRing.{0} Rat Rat.instLinearOrderedRingRat)))
-Case conversion may be inaccurate. Consider using '#align rat.is_fraction_ring Rat.isFractionRingₓ'. -/
 /-- The cast from `int` to `rat` as a `fraction_ring`. -/
 instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     where
@@ -88,24 +82,12 @@ section CommRing
 
 variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFractionRing A K]
 
-/- warning: is_fraction_ring.to_map_eq_zero_iff -> IsFractionRing.to_map_eq_zero_iff is a dubious translation:
-lean 3 declaration is
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 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
   to_map_eq_zero_iff _ (le_of_eq rfl)
 #align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iff
 
 variable (R K)
 
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 protected theorem injective : Function.Injective (algebraMap R K) :=
   IsLocalization.injective _ (le_of_eq rfl)
 #align is_fraction_ring.injective IsFractionRing.injective
@@ -124,12 +106,6 @@ instance (priority := 100) [NoZeroDivisors K] : NoZeroSMulDivisors R K :=
 
 variable {R K}
 
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 protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
     (hx : x ∈ nonZeroDivisors R) : algebraMap R K x ≠ 0 :=
   IsLocalization.to_map_ne_zero_of_mem_nonZeroDivisors _ le_rfl hx
@@ -137,12 +113,6 @@ protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
 
 variable (A)
 
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-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_domain IsFractionRing.isDomainₓ'. -/
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is an
 integral domain. -/
 protected theorem isDomain : IsDomain K :=
@@ -163,12 +133,6 @@ protected noncomputable irreducible_def inv (z : K) : K :=
 #align is_fraction_ring.inv IsFractionRing.inv
 -/
 
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 protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv A x = 1 :=
   by
   rw [IsFractionRing.inv, dif_neg hx, ←
@@ -203,9 +167,6 @@ end CommRing
 variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L] [Algebra A K]
   [IsFractionRing A K] {g : A →+* L}
 
-/- warning: is_fraction_ring.mk'_mk_eq_div -> IsFractionRing.mk'_mk_eq_div is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_divₓ'. -/
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
   mk'_eq_iff_eq_mul.2 <|
@@ -213,38 +174,23 @@ theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
         (IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors hs)).symm
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
 
-/- warning: is_fraction_ring.mk'_eq_div -> IsFractionRing.mk'_eq_div is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_divₓ'. -/
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
   mk'_mk_eq_div s.2
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
-/- warning: is_fraction_ring.div_surjective -> IsFractionRing.div_surjective is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.div_surjective IsFractionRing.div_surjectiveₓ'. -/
 theorem div_surjective (z : K) :
     ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
 
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-<too large>
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 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
   IsUnit.mk0 (g y) <|
     show g.toMonoidWithZeroHom y ≠ 0 from map_ne_zero_of_mem_nonZeroDivisors g hg y.2
 #align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injective
 
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 @[simp]
 theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y : nonZeroDivisors R} :
     mk' K x y = 0 ↔ x = 0 :=
@@ -254,9 +200,6 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
     exact (exists_const _).mp hxy
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
 
-/- warning: is_fraction_ring.mk'_eq_one_iff_eq -> IsFractionRing.mk'_eq_one_iff_eq is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eqₓ'. -/
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
   refine' ⟨_, fun hxy => by rw [hxy, mk'_self']⟩
@@ -269,12 +212,6 @@ theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x
 
 open Function
 
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-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (Semiring.toNonAssocSemiring.{u2} K (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift IsFractionRing.liftₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field, we get a
 field hom sending `z : K` to `g x * (g y)⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -283,9 +220,6 @@ noncomputable def lift (hg : Injective g) : K →+* L :=
   lift fun y : nonZeroDivisors A => isUnit_map_of_injective hg y
 #align is_fraction_ring.lift IsFractionRing.lift
 
-/- warning: is_fraction_ring.lift_algebra_map -> IsFractionRing.lift_algebraMap is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMapₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 the field hom induced from `K` to `L` maps `x` to `g x` for all
@@ -295,9 +229,6 @@ theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g
   lift_eq _ _
 #align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMap
 
-/- warning: is_fraction_ring.lift_mk' -> IsFractionRing.lift_mk' is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'ₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 field hom induced from `K` to `L` maps `f x / f y` to `g x / g y` for all
@@ -306,9 +237,6 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
   by simp only [mk'_eq_div, map_div₀, lift_algebra_map]
 #align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'
 
-/- warning: is_fraction_ring.map -> IsFractionRing.map is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.map IsFractionRing.mapₓ'. -/
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
 sending `z : K` to `g (j x) * (g (j y))⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -321,12 +249,6 @@ noncomputable def map {A B K L : Type _} [CommRing A] [CommRing B] [IsDomain B]
       nonZeroDivisors_le_comap_nonZeroDivisors_of_injective j hj)
 #align is_fraction_ring.map IsFractionRing.map
 
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-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (Ring.toSemiring.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasAdd.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasMul.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7))) (Distrib.toHasAdd.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7)))) -> (RingEquiv.{u2, u4} K L (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasAdd.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasMul.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))) (Distrib.toHasAdd.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))))
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-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (DivisionSemiring.toSemiring.{u4} L (Semifield.toDivisionSemiring.{u4} L (Field.toSemifield.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (NonUnitalNonAssocRing.toMul.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonUnitalNonAssocRing.toMul.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7)))) (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (Distrib.toAdd.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7))))))) -> (RingEquiv.{u2, u4} K L (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (NonUnitalNonAssocRing.toMul.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))) (Distrib.toAdd.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))))) (Distrib.toAdd.{u4} L (NonUnitalNonAssocSemiring.toDistrib.{u4} L (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))))))
-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.field_equiv_of_ring_equiv IsFractionRing.fieldEquivOfRingEquivₓ'. -/
 /-- Given integral domains `A, B` and localization maps to their fields of fractions
 `f : A →+* K, g : B →+* L`, an isomorphism `j : A ≃+* B` induces an isomorphism of
 fields of fractions `K ≃+* L`. -/
@@ -343,12 +265,6 @@ noncomputable def fieldEquivOfRingEquiv [Algebra B L] [IsFractionRing B L] (h :
 
 variable (S)
 
-/- warning: is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv -> IsFractionRing.isFractionRing_iff_of_base_ringEquiv is a dubious translation:
-lean 3 declaration is
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-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquivₓ'. -/
 theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     IsFractionRing R S ↔
       @IsFractionRing P _ S _ ((algebraMap R S).comp h.symm.toRingHom).toAlgebra :=
@@ -369,12 +285,6 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     rw [← h.symm.map_mul, hz, h.symm.map_zero]
 #align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquiv
 
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-Case conversion may be inaccurate. Consider using '#align is_fraction_ring.nontrivial IsFractionRing.nontrivialₓ'. -/
 protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S :=
   by
@@ -429,9 +339,6 @@ noncomputable instance : Field (FractionRing A) :=
     zsmul := SubNegMonoid.zsmul
     npow := Localization.npow _ }
 
-/- warning: fraction_ring.mk_eq_div -> FractionRing.mk_eq_div is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align fraction_ring.mk_eq_div FractionRing.mk_eq_divₓ'. -/
 @[simp]
 theorem mk_eq_div {r s} :
     (Localization.mk r s : FractionRing A) =
@@ -449,12 +356,6 @@ instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
 
 variable (A)
 
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 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient
 type and `K`. -/

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

@@ -72,10 +72,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ
   eq_iff_exists := by
     intro x y
     rw [eq_intCast, eq_intCast, Int.cast_inj]
-    refine'
-      ⟨by
-        rintro rfl
-        use 1, _⟩
+    refine' ⟨by rintro rfl; use 1, _⟩
     rintro ⟨⟨c, hc⟩, h⟩
     apply mul_left_cancel₀ _ h
     rwa [mem_nonZeroDivisors_iff_ne_zero] at hc
@@ -263,7 +260,7 @@ Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_e
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
   refine' ⟨_, fun hxy => by rw [hxy, mk'_self']⟩
-  · intro hxy
+  · intro hxy;
     have hy : (algebraMap A K) ↑y ≠ (0 : K) :=
       IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors y.property
     rw [IsFractionRing.mk'_eq_div, div_eq_one_iff_eq hy] at hxy

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

@@ -207,10 +207,7 @@ variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L]
   [IsFractionRing A K] {g : A →+* L}
 
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_divₓ'. -/
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
@@ -220,10 +217,7 @@ theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
 
 /- warning: is_fraction_ring.mk'_eq_div -> IsFractionRing.mk'_eq_div is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_divₓ'. -/
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
@@ -231,10 +225,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
 /- warning: is_fraction_ring.div_surjective -> IsFractionRing.div_surjective is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.div_surjective IsFractionRing.div_surjectiveₓ'. -/
 theorem div_surjective (z : K) :
     ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
@@ -243,10 +234,7 @@ theorem div_surjective (z : K) :
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
 
 /- warning: is_fraction_ring.is_unit_map_of_injective -> IsFractionRing.isUnit_map_of_injective is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injectiveₓ'. -/
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
@@ -270,10 +258,7 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
 
 /- warning: is_fraction_ring.mk'_eq_one_iff_eq -> IsFractionRing.mk'_eq_one_iff_eq is a dubious translation:
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 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eqₓ'. -/
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
@@ -302,10 +287,7 @@ noncomputable def lift (hg : Injective g) : K →+* L :=
 #align is_fraction_ring.lift IsFractionRing.lift
 
 /- warning: is_fraction_ring.lift_algebra_map -> IsFractionRing.lift_algebraMap is a dubious translation:
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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMapₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -317,10 +299,7 @@ theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g
 #align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMap
 
 /- warning: is_fraction_ring.lift_mk' -> IsFractionRing.lift_mk' is a dubious translation:
-lean 3 declaration is
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-but is expected to have type
-  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A 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+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'ₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -331,10 +310,7 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
 #align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'
 
 /- warning: is_fraction_ring.map -> IsFractionRing.map is a dubious translation:
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-  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (fun (_x : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) => A -> B) (RingHom.hasCoeToFun.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
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-  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (Semiring.toNonAssocSemiring.{u3} K (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))) (Semiring.toNonAssocSemiring.{u4} L (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))))
+<too large>
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.map IsFractionRing.mapₓ'. -/
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
@@ -457,10 +433,7 @@ noncomputable instance : Field (FractionRing A) :=
     npow := Localization.npow _ }
 
 /- warning: fraction_ring.mk_eq_div -> FractionRing.mk_eq_div is a dubious translation:
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_inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)))
+<too large>
 Case conversion may be inaccurate. Consider using '#align fraction_ring.mk_eq_div FractionRing.mk_eq_divₓ'. -/
 @[simp]
 theorem mk_eq_div {r s} :

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

@@ -95,7 +95,7 @@ variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFracti
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7)))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommRing.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) _inst_7)))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iffₓ'. -/
 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
   to_map_eq_zero_iff _ (le_of_eq rfl)
@@ -107,7 +107,7 @@ variable (R K)
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (K : Type.{u2}) [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u1, succ u2} R K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8))
 but is expected to have type
-  forall (R : Type.{u2}) [_inst_1 : CommRing.{u2} R] (K : Type.{u1}) [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u2, succ u1} R K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8))
+  forall (R : Type.{u2}) [_inst_1 : CommRing.{u2} R] (K : Type.{u1}) [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u2, succ u1} R K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.injective IsFractionRing.injectiveₓ'. -/
 protected theorem injective : Function.Injective (algebraMap R K) :=
   IsLocalization.injective _ (le_of_eq rfl)
@@ -131,7 +131,7 @@ variable {R K}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u1} R] {x : R}, (Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) x (nonZeroDivisors.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) -> (Ne.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u2} R] {x : R}, (Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7))))))
+  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u2} R] {x : R}, (Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) (CommRing.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : R) => K) x) _inst_7))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_ne_zero_of_mem_non_zero_divisors IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisorsₓ'. -/
 protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
     (hx : x ∈ nonZeroDivisors R) : algebraMap R K x ≠ 0 :=
@@ -210,7 +210,7 @@ variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L]
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) s (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) s hs)) (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) s))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) s (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) s hs)) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) s))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) s (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) s hs)) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) s))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_divₓ'. -/
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
@@ -223,7 +223,7 @@ theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} (s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) s)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} (s : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} (s : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_divₓ'. -/
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
@@ -234,7 +234,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] (z : K), Exists.{succ u1} A (fun (x : A) => Exists.{succ u1} A (fun (y : A) => Exists.{0} (Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (fun (hy : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) => Eq.{succ u2} K (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) x) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) y)) z)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] (z : K), Exists.{succ u2} A (fun (x : A) => Exists.{succ u2} A (fun (y : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (fun (hy : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) => Eq.{succ u1} K (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) y) K (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) y)) z)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] (z : K), Exists.{succ u2} A (fun (x : A) => Exists.{succ u2} A (fun (y : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (fun (hy : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) => Eq.{succ u1} K (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) y) K (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) y)) z)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.div_surjective IsFractionRing.div_surjectiveₓ'. -/
 theorem div_surjective (z : K) :
     ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
@@ -246,7 +246,7 @@ theorem div_surjective (z : K) :
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {L : Type.{u2}} [_inst_10 : Field.{u2} L] {g : RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))}, (Function.Injective.{succ u1, succ u2} A L (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (fun (_x : RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) g)) -> (forall (y : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), IsUnit.{u2} L (Ring.toMonoid.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (fun (_x : RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) g ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) y)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {L : Type.{u1}} [_inst_10 : Field.{u1} L] {g : RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))}, (Function.Injective.{succ u2, succ u1} A L (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g)) -> (forall (y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), IsUnit.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) _inst_10))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {L : Type.{u1}} [_inst_10 : Field.{u1} L] {g : RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))}, (Function.Injective.{succ u2, succ u1} A L (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g)) -> (forall (y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), IsUnit.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) _inst_10))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injectiveₓ'. -/
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
@@ -291,7 +291,7 @@ open Function
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) -> (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (Semiring.toNonAssocSemiring.{u2} K (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (Semiring.toNonAssocSemiring.{u2} K (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift IsFractionRing.liftₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field, we get a
@@ -305,7 +305,7 @@ noncomputable def lift (hg : Injective g) : K →+* L :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))} (hg : Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) (x : A), Eq.{succ u3} L (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => K -> L) (RingHom.hasCoeToFun.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (IsFractionRing.lift.{u1, u2, u3} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g x)
 but is expected to have type
-  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) => L) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A 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(Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} ((fun 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K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9 L _inst_10 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(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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, 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(Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x)
+  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) => L) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A 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(Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} ((fun 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(Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) L (NonUnitalNonAssocSemiring.toMul.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) x) _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => K) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x)
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMapₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -320,7 +320,7 @@ theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))} (hg : Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) (x : A) (y : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u3} L (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K 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(Field.toDivisionRing.{u3} L _inst_10)))) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g x) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} 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(CommRing.toRing.{u1} A _inst_5))))))))) y)))
 but is expected to have type
-  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A) (y : Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (SetLike.instMembership.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))))) x (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (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_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (HDiv.hDiv.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (instHDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (Field.toDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)))
+  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A) (y : Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (SetLike.instMembership.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))))) x (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : K) => L) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : K) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (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_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (HDiv.hDiv.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) x) (instHDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) x) (Field.toDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) x) _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'ₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -334,7 +334,7 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
 lean 3 declaration is
   forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (fun (_x : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) => A -> B) (RingHom.hasCoeToFun.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
 but is expected to have type
-  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (Semiring.toNonAssocSemiring.{u3} K (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))) (Semiring.toNonAssocSemiring.{u4} L (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))))
+  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (Semiring.toNonAssocSemiring.{u3} K (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))) (Semiring.toNonAssocSemiring.{u4} L (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.map IsFractionRing.mapₓ'. -/
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
@@ -460,7 +460,7 @@ noncomputable instance : Field (FractionRing A) :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {r : A} {s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) r s) (HDiv.hDiv.{u1, u1, u1} (FractionRing.{u1} A _inst_5) (FractionRing.{u1} A _inst_5) (FractionRing.{u1} A _inst_5) (instHDiv.{u1} (FractionRing.{u1} A _inst_5) (DivInvMonoid.toHasDiv.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toDivInvMonoid.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (fun (_x : RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) => A -> (FractionRing.{u1} A _inst_5)) (RingHom.hasCoeToFun.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (fun (_x : RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) => A -> (FractionRing.{u1} A _inst_5)) (RingHom.hasCoeToFun.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) s)))
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {r : A} {s : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)) (FractionRing.{u1} A _inst_5) (instHDiv.{u1} ((fun 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(FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A 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(Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)))
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {r : A} {s : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)) (FractionRing.{u1} A _inst_5) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) r) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)))
 Case conversion may be inaccurate. Consider using '#align fraction_ring.mk_eq_div FractionRing.mk_eq_divₓ'. -/
 @[simp]
 theorem mk_eq_div {r s} :

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

@@ -95,7 +95,7 @@ variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFracti
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))))))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7)))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7)))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iffₓ'. -/
 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
   to_map_eq_zero_iff _ (le_of_eq rfl)
@@ -107,7 +107,7 @@ variable (R K)
 lean 3 declaration is
   forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (K : Type.{u2}) [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u1, succ u2} R K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8))
 but is expected to have type
-  forall (R : Type.{u2}) [_inst_1 : CommRing.{u2} R] (K : Type.{u1}) [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u2, succ u1} R K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)) _inst_8))
+  forall (R : Type.{u2}) [_inst_1 : CommRing.{u2} R] (K : Type.{u1}) [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u2, succ u1} R K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.injective IsFractionRing.injectiveₓ'. -/
 protected theorem injective : Function.Injective (algebraMap R K) :=
   IsLocalization.injective _ (le_of_eq rfl)
@@ -131,7 +131,7 @@ variable {R K}
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u1} R] {x : R}, (Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) x (nonZeroDivisors.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) -> (Ne.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u2} R] {x : R}, (Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))))) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7))))))
+  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u2} R] {x : R}, (Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_ne_zero_of_mem_non_zero_divisors IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisorsₓ'. -/
 protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
     (hx : x ∈ nonZeroDivisors R) : algebraMap R K x ≠ 0 :=
@@ -144,7 +144,7 @@ variable (A)
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10], IsDomain.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))
 but is expected to have type
-  forall (A : Type.{u2}) [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_10 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_11 : IsFractionRing.{u2, u1} A _inst_5 K _inst_7 _inst_10], IsDomain.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))
+  forall (A : Type.{u2}) [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_10 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))] [_inst_11 : IsFractionRing.{u2, u1} A _inst_5 K _inst_7 _inst_10], IsDomain.{u1} K (CommSemiring.toSemiring.{u1} K (CommRing.toCommSemiring.{u1} K _inst_7))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_domain IsFractionRing.isDomainₓ'. -/
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is an
 integral domain. -/
@@ -170,7 +170,7 @@ protected noncomputable irreducible_def inv (z : K) : K :=
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (CommRing.toRing.{u2} K _inst_7)))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddGroupWithOne.toAddMonoidWithOne.{u2} K (AddCommGroupWithOne.toAddGroupWithOne.{u2} K (Ring.toAddCommGroupWithOne.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (Zero.toOfNat0.{u2} K (CommMonoidWithZero.toZero.{u2} K (CommSemiring.toCommMonoidWithZero.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (NonAssocRing.toOne.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (Zero.toOfNat0.{u2} K (CommMonoidWithZero.toZero.{u2} K (CommSemiring.toCommMonoidWithZero.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (Semiring.toOne.{u2} K (CommSemiring.toSemiring.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancelₓ'. -/
 protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv A x = 1 :=
   by
@@ -210,7 +210,7 @@ variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L]
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) s (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) s hs)) (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) s))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) s (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))) s hs)) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) s))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) s (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) s hs)) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) s) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) s))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_divₓ'. -/
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
@@ -223,7 +223,7 @@ theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} (s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) s)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} (s : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) s)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) s)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} (s : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) r) _inst_9)) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : 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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (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_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) s)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_divₓ'. -/
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
@@ -234,7 +234,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] (z : K), Exists.{succ u1} A (fun (x : A) => Exists.{succ u1} A (fun (y : A) => Exists.{0} (Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (fun (hy : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) => Eq.{succ u2} K (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) x) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) y)) z)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] (z : K), Exists.{succ u2} A (fun (x : A) => Exists.{succ u2} A (fun (y : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))) (fun (hy : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))) => Eq.{succ u1} K (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) y) K (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) y)) z)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] (z : K), Exists.{succ u2} A (fun (x : A) => Exists.{succ u2} A (fun (y : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (fun (hy : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) y (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) => Eq.{succ u1} K (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) y) K (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x) (FunLike.coe.{max (succ u1) (succ u2), succ u2, succ u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u2, u1} (RingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) y)) z)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.div_surjective IsFractionRing.div_surjectiveₓ'. -/
 theorem div_surjective (z : K) :
     ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
@@ -246,7 +246,7 @@ theorem div_surjective (z : K) :
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {L : Type.{u2}} [_inst_10 : Field.{u2} L] {g : RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))}, (Function.Injective.{succ u1, succ u2} A L (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (fun (_x : RingHom.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u2} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) g)) -> (forall (y : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A 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A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) g ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A 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(MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) y)))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {L : Type.{u1}} [_inst_10 : Field.{u1} L] {g : RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))}, (Function.Injective.{succ u2, succ u1} A L (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))))))) g)) -> (forall (y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))), IsUnit.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)) _inst_10))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (NonAssocRing.toNonAssocSemiring.{u2} A (Ring.toNonAssocRing.{u2} A (CommRing.toRing.{u2} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u1} L (Ring.toNonAssocRing.{u1} L (DivisionRing.toRing.{u1} L (Field.toDivisionRing.{u1} L _inst_10)))))))) g (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y)))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {L : Type.{u1}} [_inst_10 : Field.{u1} L] {g : RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))}, (Function.Injective.{succ u2, succ u1} A L (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g)) -> (forall (y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))), IsUnit.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (MonoidWithZero.toMonoid.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semiring.toMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)) _inst_10))))) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} L (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u2, u1} A L (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} L (DivisionSemiring.toSemiring.{u1} L (Semifield.toDivisionSemiring.{u1} L (Field.toSemifield.{u1} L _inst_10)))))))) g (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injectiveₓ'. -/
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
@@ -258,7 +258,7 @@ theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_13 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_14 : IsFractionRing.{u1, u2} R _inst_1 K (Field.toCommRing.{u2} K _inst_9) _inst_13] {x : R} {y : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (nonZeroDivisors.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))}, Iff (Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} R (CommRing.toCommSemiring.{u1} R _inst_1) (nonZeroDivisors.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_13 _inst_14 x y) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))))))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))))))
 but is expected to have type
-  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_13 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_14 : IsFractionRing.{u2, u1} R _inst_1 K (Field.toCommRing.{u1} K _inst_9) _inst_13] {x : R} {y : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))}, Iff (Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_13 _inst_14 x y) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_9))))))) (Eq.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))
+  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_13 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_14 : IsFractionRing.{u2, u1} R _inst_1 K (Field.toCommRing.{u1} K _inst_9) _inst_13] {x : R} {y : Subtype.{succ u2} R (fun (x : R) => Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))))}, Iff (Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} R (CommRing.toCommSemiring.{u2} R _inst_1) (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_13 _inst_14 x y) (OfNat.ofNat.{u1} K 0 (Zero.toOfNat0.{u1} K (CommMonoidWithZero.toZero.{u1} K (CommGroupWithZero.toCommMonoidWithZero.{u1} K (Semifield.toCommGroupWithZero.{u1} K (Field.toSemifield.{u1} K _inst_9))))))) (Eq.{succ u2} R x (OfNat.ofNat.{u2} R 0 (Zero.toOfNat0.{u2} R (CommMonoidWithZero.toZero.{u2} R (CommSemiring.toCommMonoidWithZero.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zeroₓ'. -/
 @[simp]
 theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y : nonZeroDivisors R} :
@@ -273,7 +273,7 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {x : A} {y : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))}, Iff (Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 x y) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddGroupWithOne.toAddMonoidWithOne.{u2} K (AddCommGroupWithOne.toAddGroupWithOne.{u2} K (Ring.toAddCommGroupWithOne.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))))))))) (Eq.{succ u1} A x ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) y))
 but is expected to have type
-  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {x : A} {y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))}, Iff (Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (NonAssocRing.toOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9))))))) (Eq.{succ u2} A x (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y))
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {x : A} {y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))}, Iff (Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (Semiring.toOne.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))))) (Eq.{succ u2} A x (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5)))))) y))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eqₓ'. -/
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
@@ -291,7 +291,7 @@ open Function
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) -> (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (Semiring.toNonAssocSemiring.{u2} K (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))) (Semiring.toNonAssocSemiring.{u3} L (DivisionSemiring.toSemiring.{u3} L (Semifield.toDivisionSemiring.{u3} L (Field.toSemifield.{u3} L _inst_10)))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift IsFractionRing.liftₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field, we get a
@@ -305,7 +305,7 @@ noncomputable def lift (hg : Injective g) : K →+* L :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))} (hg : Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) (x : A), Eq.{succ u3} L (coeFn.{max (succ u2) (succ u3), max (succ u2) (succ u3)} (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => K -> L) (RingHom.hasCoeToFun.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (IsFractionRing.lift.{u1, u2, u3} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) x)) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g x)
 but is expected to have type
-  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g)) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) => L) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) a) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (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_9)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (NonAssocRing.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDivisionRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (fun (_x : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (NonAssocRing.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionRing.toRing.{u1} ((fun 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(NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (NonAssocRing.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDivisionRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} ((fun 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(NonAssocRing.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Ring.toNonAssocRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionRing.toRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toDivisionRing.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K 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(CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g x)
+  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) => L) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A 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(Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} ((fun 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K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) 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(x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) L (Semiring.toNonAssocSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (DivisionSemiring.toSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Semifield.toDivisionSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) (Field.toSemifield.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) x) _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (FunLike.coe.{max (succ u3) (succ u1), succ u3, succ u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => K) _x) (MulHomClass.toFunLike.{max u3 u1, u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) 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u3, u1} (RingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u3, u1} A K (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) x)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x)
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMapₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -320,7 +320,7 @@ theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))} (hg : Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) 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(CommRing.toRing.{u1} A _inst_5))))))))) y)))
 but is expected to have type
-  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g)) (x : A) (y : Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) (SetLike.instMembership.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5))))))) x (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) K L (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) K L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} K L (NonAssocRing.toNonAssocSemiring.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (HDiv.hDiv.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (instHDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (Field.toDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) y)))
+  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g)) (x : A) (y : Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (SetLike.instMembership.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))))) x (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))), Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (FunLike.coe.{max (succ u2) (succ u1), succ u1, succ u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K (fun (_x : K) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : K) => L) _x) (MulHomClass.toFunLike.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (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_9)))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u1, u2} (RingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u2} K L (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) (IsFractionRing.lift.{u3, u1, u2} A _inst_5 _inst_6 K _inst_9 L _inst_10 _inst_11 _inst_12 g hg) (IsLocalization.mk'.{u3, u1} A (CommRing.toCommSemiring.{u3} A _inst_5) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y)) (HDiv.hDiv.{u2, u2, u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (instHDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) (Field.toDiv.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) x) _inst_10)) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g x) (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u3} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u2} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} A (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} L (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u3 u2, u3, u2} (RingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10))))) A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (Semiring.toNonAssocSemiring.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} L (DivisionSemiring.toSemiring.{u2} L (Semifield.toDivisionSemiring.{u2} L (Field.toSemifield.{u2} L _inst_10)))))))) g (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (CommSemiring.toSemiring.{u3} A (CommRing.toCommSemiring.{u3} A _inst_5)))))) y)))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'ₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
@@ -334,7 +334,7 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
 lean 3 declaration is
   forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (fun (_x : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) => A -> B) (RingHom.hasCoeToFun.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
 but is expected to have type
-  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
+  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14)))) A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_13))) (Semiring.toNonAssocSemiring.{u2} B (CommSemiring.toSemiring.{u2} B (CommRing.toCommSemiring.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (Semiring.toNonAssocSemiring.{u3} K (CommSemiring.toSemiring.{u3} K (CommRing.toCommSemiring.{u3} K _inst_16))) (Semiring.toNonAssocSemiring.{u4} L (CommSemiring.toSemiring.{u4} L (CommRing.toCommSemiring.{u4} L _inst_19))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.map IsFractionRing.mapₓ'. -/
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
@@ -352,7 +352,7 @@ noncomputable def map {A B K L : Type _} [CommRing A] [CommRing B] [IsDomain B]
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (Ring.toSemiring.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasAdd.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasMul.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7))) (Distrib.toHasAdd.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7)))) -> (RingEquiv.{u2, u4} K L (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasAdd.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasMul.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))) (Distrib.toHasAdd.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))))
 but is expected to have type
-  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (DivisionSemiring.toSemiring.{u4} L (Semifield.toDivisionSemiring.{u4} L (Field.toSemifield.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (NonUnitalNonAssocRing.toMul.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonUnitalNonAssocRing.toMul.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7)))) (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (Distrib.toAdd.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7))))))) -> (RingEquiv.{u2, u4} K L (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (NonUnitalNonAssocRing.toMul.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))) (Distrib.toAdd.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))))) (Distrib.toAdd.{u4} L (NonUnitalNonAssocSemiring.toDistrib.{u4} L (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))))))
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (DivisionSemiring.toSemiring.{u4} L (Semifield.toDivisionSemiring.{u4} L (Field.toSemifield.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (NonUnitalNonAssocRing.toMul.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonUnitalNonAssocRing.toMul.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7)))) (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (Distrib.toAdd.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7))))))) -> (RingEquiv.{u2, u4} K L (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (NonUnitalNonAssocRing.toMul.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))) (Distrib.toAdd.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))))) (Distrib.toAdd.{u4} L (NonUnitalNonAssocSemiring.toDistrib.{u4} L (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.field_equiv_of_ring_equiv IsFractionRing.fieldEquivOfRingEquivₓ'. -/
 /-- Given integral domains `A, B` and localization maps to their fields of fractions
 `f : A →+* K, g : B →+* L`, an isomorphism `j : A ≃+* B` induces an isomorphism of
@@ -374,7 +374,7 @@ variable (S)
 lean 3 declaration is
   forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] (S : Type.{u2}) [_inst_2 : CommRing.{u2} S] [_inst_3 : Algebra.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2))] {P : Type.{u3}} [_inst_4 : CommRing.{u3} P] (h : RingEquiv.{u1, u3} R P (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasMul.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Distrib.toHasAdd.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4)))), Iff (IsFractionRing.{u1, u2} R _inst_1 S _inst_2 _inst_3) (IsFractionRing.{u3, u2} P _inst_4 S _inst_2 (RingHom.toAlgebra.{u3, u2} P S (CommRing.toCommSemiring.{u3} P _inst_4) (CommRing.toCommSemiring.{u2} S _inst_2) (RingHom.comp.{u3, u1, u2} P R S (NonAssocRing.toNonAssocSemiring.{u3} P (Ring.toNonAssocRing.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2))) (algebraMap.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2)) _inst_3) (RingEquiv.toRingHom.{u3, u1} P R (NonAssocRing.toNonAssocSemiring.{u3} P (Ring.toNonAssocRing.{u3} P (CommRing.toRing.{u3} P _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingEquiv.symm.{u1, u3} R P (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasMul.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Distrib.toHasAdd.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) h)))))
 but is expected to have type
-  forall {R : Type.{u3}} [_inst_1 : CommRing.{u3} R] (S : Type.{u1}) [_inst_2 : CommRing.{u1} S] [_inst_3 : Algebra.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2))] {P : Type.{u2}} [_inst_4 : CommRing.{u2} P] (h : RingEquiv.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))))))), Iff (IsFractionRing.{u3, u1} R _inst_1 S _inst_2 _inst_3) (IsFractionRing.{u2, u1} P _inst_4 S _inst_2 (RingHom.toAlgebra.{u2, u1} P S (CommRing.toCommSemiring.{u2} P _inst_4) (CommRing.toCommSemiring.{u1} S _inst_2) (RingHom.comp.{u2, u3, u1} P R S (NonAssocRing.toNonAssocSemiring.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2))) (algebraMap.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2)) _inst_3) (RingEquiv.toRingHom.{u2, u3} P R (NonAssocRing.toNonAssocSemiring.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))) (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1))) (RingEquiv.symm.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))))) h)))))
+  forall {R : Type.{u3}} [_inst_1 : CommRing.{u3} R] (S : Type.{u1}) [_inst_2 : CommRing.{u1} S] [_inst_3 : Algebra.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_2))] {P : Type.{u2}} [_inst_4 : CommRing.{u2} P] (h : RingEquiv.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))))))), Iff (IsFractionRing.{u3, u1} R _inst_1 S _inst_2 _inst_3) (IsFractionRing.{u2, u1} P _inst_4 S _inst_2 (RingHom.toAlgebra.{u2, u1} P S (CommRing.toCommSemiring.{u2} P _inst_4) (CommRing.toCommSemiring.{u1} S _inst_2) (RingHom.comp.{u2, u3, u1} P R S (Semiring.toNonAssocSemiring.{u2} P (CommSemiring.toSemiring.{u2} P (CommRing.toCommSemiring.{u2} P _inst_4))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} S (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_2))) (algebraMap.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_2)) _inst_3) (RingEquiv.toRingHom.{u2, u3} P R (Semiring.toNonAssocSemiring.{u2} P (CommSemiring.toSemiring.{u2} P (CommRing.toCommSemiring.{u2} P _inst_4))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_1))) (RingEquiv.symm.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))))) h)))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquivₓ'. -/
 theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     IsFractionRing R S ↔
@@ -400,7 +400,7 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
 lean 3 declaration is
   forall (R : Type.{u1}) (S : Type.{u2}) [_inst_13 : CommRing.{u1} R] [_inst_14 : Nontrivial.{u1} R] [_inst_15 : CommRing.{u2} S] [_inst_16 : Algebra.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_13) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_15))] [_inst_17 : IsFractionRing.{u1, u2} R _inst_13 S _inst_15 _inst_16], Nontrivial.{u2} S
 but is expected to have type
-  forall (R : Type.{u2}) (S : Type.{u1}) [_inst_13 : CommRing.{u2} R] [_inst_14 : Nontrivial.{u2} R] [_inst_15 : CommRing.{u1} S] [_inst_16 : Algebra.{u2, u1} R S (CommRing.toCommSemiring.{u2} R _inst_13) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_15))] [_inst_17 : IsFractionRing.{u2, u1} R _inst_13 S _inst_15 _inst_16], Nontrivial.{u1} S
+  forall (R : Type.{u2}) (S : Type.{u1}) [_inst_13 : CommRing.{u2} R] [_inst_14 : Nontrivial.{u2} R] [_inst_15 : CommRing.{u1} S] [_inst_16 : Algebra.{u2, u1} R S (CommRing.toCommSemiring.{u2} R _inst_13) (CommSemiring.toSemiring.{u1} S (CommRing.toCommSemiring.{u1} S _inst_15))] [_inst_17 : IsFractionRing.{u2, u1} R _inst_13 S _inst_15 _inst_16], Nontrivial.{u1} S
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.nontrivial IsFractionRing.nontrivialₓ'. -/
 protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S :=
@@ -460,7 +460,7 @@ noncomputable instance : Field (FractionRing A) :=
 lean 3 declaration is
   forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {r : A} {s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) r s) (HDiv.hDiv.{u1, u1, u1} (FractionRing.{u1} A _inst_5) (FractionRing.{u1} A _inst_5) (FractionRing.{u1} A _inst_5) (instHDiv.{u1} (FractionRing.{u1} A _inst_5) (DivInvMonoid.toHasDiv.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toDivInvMonoid.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6))))) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (fun (_x : RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) => A -> (FractionRing.{u1} A _inst_5)) (RingHom.hasCoeToFun.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (coeFn.{succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (fun (_x : RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) => A -> (FractionRing.{u1} A _inst_5)) (RingHom.hasCoeToFun.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) ((fun (a : Type.{u1}) (b : Type.{u1}) [self : HasLiftT.{succ u1, succ u1} a b] => self.0) (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (HasLiftT.mk.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (CoeTCₓ.coe.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeBase.{succ u1, succ u1} (coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) s)))
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {r : A} {s : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) 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(Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} 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(FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) s)))
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] {r : A} {s : Subtype.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (SetLike.instMembership.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r s) (HDiv.hDiv.{u1, u1, u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) r) ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)) (FractionRing.{u1} A _inst_5) (instHDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) r) (Field.toDiv.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) r) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) r) (FunLike.coe.{succ u1, succ u1, succ u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => FractionRing.{u1} A _inst_5) _x) (MulHomClass.toFunLike.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u1} (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))))) s)))
 Case conversion may be inaccurate. Consider using '#align fraction_ring.mk_eq_div FractionRing.mk_eq_divₓ'. -/
 @[simp]
 theorem mk_eq_div {r s} :
@@ -483,7 +483,7 @@ variable (A)
 lean 3 declaration is
   forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] (K : Type.{u2}) [_inst_7 : Field.{u2} K] [_inst_8 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_7)))] [_inst_9 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_7) _inst_8], AlgEquiv.{u1, u1, u2} A (FractionRing.{u1} A _inst_5) K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_7))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) _inst_8
 but is expected to have type
-  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] (K : Type.{u2}) [_inst_7 : Field.{u2} K] [_inst_8 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7)))] [_inst_9 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_7) _inst_8], AlgEquiv.{u1, u1, u2} A (FractionRing.{u1} A _inst_5) K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) _inst_8
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))] (K : Type.{u2}) [_inst_7 : Field.{u2} K] [_inst_8 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7)))] [_inst_9 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_7) _inst_8], AlgEquiv.{u1, u1, u2} A (FractionRing.{u1} A _inst_5) K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) _inst_8
 Case conversion may be inaccurate. Consider using '#align fraction_ring.alg_equiv FractionRing.algEquivₓ'. -/
 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient

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

@@ -168,7 +168,7 @@ protected noncomputable irreducible_def inv (z : K) : K :=
 
 /- warning: is_fraction_ring.mul_inv_cancel -> IsFractionRing.mul_inv_cancel is a dubious translation:
 lean 3 declaration is
-  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (CommRing.toRing.{u2} K _inst_7)))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddGroupWithOne.toAddMonoidWithOne.{u2} K (NonAssocRing.toAddGroupWithOne.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (CommRing.toRing.{u2} K _inst_7)))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddGroupWithOne.toAddMonoidWithOne.{u2} K (AddCommGroupWithOne.toAddGroupWithOne.{u2} K (Ring.toAddCommGroupWithOne.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))
 but is expected to have type
   forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (Zero.toOfNat0.{u2} K (CommMonoidWithZero.toZero.{u2} K (CommSemiring.toCommMonoidWithZero.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (NonAssocRing.toOne.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancelₓ'. -/
@@ -271,7 +271,7 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
 
 /- warning: is_fraction_ring.mk'_eq_one_iff_eq -> IsFractionRing.mk'_eq_one_iff_eq is a dubious translation:
 lean 3 declaration is
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(MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) A (coeSubtype.{succ u1} A (fun (x : A) => Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))))) y))
 but is expected to have type
   forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {x : A} {y : Subtype.{succ u2} A (fun (x : A) => Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))))))) x (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))}, Iff (Eq.{succ u1} K (IsLocalization.mk'.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_5) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))) K (Semifield.toCommSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)) _inst_11 _inst_12 x y) (OfNat.ofNat.{u1} K 1 (One.toOfNat1.{u1} K (NonAssocRing.toOne.{u1} K (Ring.toNonAssocRing.{u1} K (DivisionRing.toRing.{u1} K (Field.toDivisionRing.{u1} K _inst_9))))))) (Eq.{succ u2} A x (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 (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (nonZeroDivisors.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) y))
 Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eqₓ'. -/

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

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
 
 ! This file was ported from Lean 3 source module ring_theory.localization.fraction_ring
-! leanprover-community/mathlib commit 831c494092374cfe9f50591ed0ac81a25efc5b86
+! leanprover-community/mathlib commit 8ef6f08ff8c781c5c07a8b12843710e1a0d8a688
 ! 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.Basic
 /-!
 # Fraction ring / fraction field Frac(R) as localization
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 ## Main definitions
 
  * `is_fraction_ring R K` expresses that `K` is a field of fractions of `R`, as an abbreviation of

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

@@ -41,12 +41,20 @@ variable [Algebra R S] {P : Type _} [CommRing P]
 
 variable {A : Type _} [CommRing A] [IsDomain A] (K : Type _)
 
+#print IsFractionRing /-
 -- TODO: should this extend `algebra` instead of assuming it?
 /-- `is_fraction_ring R K` states `K` is the field of fractions of an integral domain `R`. -/
 abbrev IsFractionRing [CommRing K] [Algebra R K] :=
   IsLocalization (nonZeroDivisors R) K
 #align is_fraction_ring IsFractionRing
+-/
 
+/- warning: rat.is_fraction_ring -> Rat.isFractionRing is a dubious translation:
+lean 3 declaration is
+  IsFractionRing.{0, 0} Int Int.commRing Rat Rat.commRing (algebraInt.{0} Rat (DivisionRing.toRing.{0} Rat Rat.divisionRing))
+but is expected to have type
+  IsFractionRing.{0, 0} Int Int.instCommRingInt Rat Rat.commRing (algebraInt.{0} Rat (StrictOrderedRing.toRing.{0} Rat (LinearOrderedRing.toStrictOrderedRing.{0} Rat Rat.instLinearOrderedRingRat)))
+Case conversion may be inaccurate. Consider using '#align rat.is_fraction_ring Rat.isFractionRingₓ'. -/
 /-- The cast from `int` to `rat` as a `fraction_ring`. -/
 instance Rat.isFractionRing : IsFractionRing ℤ ℚ
     where
@@ -80,28 +88,48 @@ section CommRing
 
 variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFractionRing A K]
 
+/- warning: is_fraction_ring.to_map_eq_zero_iff -> IsFractionRing.to_map_eq_zero_iff is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (OfNat.mk.{u1} R 0 (Zero.zero.{u1} R (MulZeroClass.toHasZero.{u1} R (NonUnitalNonAssocSemiring.toMulZeroClass.{u1} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} R (NonAssocRing.toNonUnitalNonAssocRing.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))))))))))
+but is expected to have type
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] {x : R}, Iff (Eq.{succ u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u2} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} K (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))) (RingHom.instRingHomClassRingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))))))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u2} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7)))))) (Eq.{succ u1} R x (OfNat.ofNat.{u1} R 0 (Zero.toOfNat0.{u1} R (CommMonoidWithZero.toZero.{u1} R (CommSemiring.toCommMonoidWithZero.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iffₓ'. -/
 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
   to_map_eq_zero_iff _ (le_of_eq rfl)
 #align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iff
 
 variable (R K)
 
+/- warning: is_fraction_ring.injective -> IsFractionRing.injective is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] (K : Type.{u2}) [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u1, succ u2} R K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8))
+but is expected to have type
+  forall (R : Type.{u2}) [_inst_1 : CommRing.{u2} R] (K : Type.{u1}) [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8], Function.Injective.{succ u2, succ u1} R K (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)) _inst_8))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.injective IsFractionRing.injectiveₓ'. -/
 protected theorem injective : Function.Injective (algebraMap R K) :=
   IsLocalization.injective _ (le_of_eq rfl)
 #align is_fraction_ring.injective IsFractionRing.injective
 
 variable {R K}
 
+#print IsFractionRing.coe_inj /-
 @[norm_cast, simp]
 theorem coe_inj {a b : R} : (↑a : K) = ↑b ↔ a = b :=
   (IsFractionRing.injective R K).eq_iff
 #align is_fraction_ring.coe_inj IsFractionRing.coe_inj
+-/
 
 instance (priority := 100) [NoZeroDivisors K] : NoZeroSMulDivisors R K :=
   NoZeroSMulDivisors.of_algebraMap_injective <| IsFractionRing.injective R K
 
 variable {R K}
 
+/- warning: is_fraction_ring.to_map_ne_zero_of_mem_non_zero_divisors -> IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_8 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_9 : IsFractionRing.{u1, u2} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u1} R] {x : R}, (Membership.Mem.{u1, u1} R (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)))))) R (Submonoid.setLike.{u1} R (MulZeroOneClass.toMulOneClass.{u1} R (MonoidWithZero.toMulZeroOneClass.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) x (nonZeroDivisors.{u1} R (Semiring.toMonoidWithZero.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) -> (Ne.{succ u2} K (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (fun (_x : RingHom.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) => R -> K) (RingHom.hasCoeToFun.{u1, u2} R K (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)))) (algebraMap.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))))))
+but is expected to have type
+  forall {R : Type.{u2}} [_inst_1 : CommRing.{u2} R] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_8 : Algebra.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_9 : IsFractionRing.{u2, u1} R _inst_1 K _inst_7 _inst_8] [_inst_12 : Nontrivial.{u2} R] {x : R}, (Membership.mem.{u2, u2} R (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1)))))) R (Submonoid.instSetLikeSubmonoid.{u2} R (MulZeroOneClass.toMulOneClass.{u2} R (MonoidWithZero.toMulZeroOneClass.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))))))) x (nonZeroDivisors.{u2} R (Semiring.toMonoidWithZero.{u2} R (Ring.toSemiring.{u2} R (CommRing.toRing.{u2} R _inst_1))))) -> (Ne.{succ u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R (fun (_x : R) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonUnitalNonAssocSemiring.toMul.{u2} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} R (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} K (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)))) R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))) (RingHom.instRingHomClassRingHom.{u2, u1} R K (Semiring.toNonAssocSemiring.{u2} R (CommSemiring.toSemiring.{u2} R (CommRing.toCommSemiring.{u2} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))))))) (algebraMap.{u2, u1} R K (CommRing.toCommSemiring.{u2} R _inst_1) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7)) _inst_8) x) (OfNat.ofNat.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) 0 (Zero.toOfNat0.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommMonoidWithZero.toZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommSemiring.toCommMonoidWithZero.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) (CommRing.toCommSemiring.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : R) => K) x) _inst_7))))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.to_map_ne_zero_of_mem_non_zero_divisors IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisorsₓ'. -/
 protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
     (hx : x ∈ nonZeroDivisors R) : algebraMap R K x ≠ 0 :=
   IsLocalization.to_map_ne_zero_of_mem_nonZeroDivisors _ le_rfl hx
@@ -109,6 +137,12 @@ protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
 
 variable (A)
 
+/- warning: is_fraction_ring.is_domain -> IsFractionRing.isDomain is a dubious translation:
+lean 3 declaration is
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10], IsDomain.{u2} K (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))
+but is expected to have type
+  forall (A : Type.{u2}) [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_7 : CommRing.{u1} K] [_inst_10 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))] [_inst_11 : IsFractionRing.{u2, u1} A _inst_5 K _inst_7 _inst_10], IsDomain.{u1} K (Ring.toSemiring.{u1} K (CommRing.toRing.{u1} K _inst_7))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_domain IsFractionRing.isDomainₓ'. -/
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is an
 integral domain. -/
 protected theorem isDomain : IsDomain K :=
@@ -117,6 +151,7 @@ protected theorem isDomain : IsDomain K :=
 
 attribute [local instance] Classical.decEq
 
+#print IsFractionRing.inv /-
 /-- The inverse of an element in the field of fractions of an integral domain. -/
 protected noncomputable irreducible_def inv (z : K) : K :=
   if h : z = 0 then 0
@@ -126,7 +161,14 @@ protected noncomputable irreducible_def inv (z : K) : K :=
         mem_nonZeroDivisors_iff_ne_zero.2 fun h0 =>
           h <| eq_zero_of_fst_eq_zero (sec_spec (nonZeroDivisors A) z) h0⟩
 #align is_fraction_ring.inv IsFractionRing.inv
+-/
 
+/- warning: is_fraction_ring.mul_inv_cancel -> IsFractionRing.mul_inv_cancel is a dubious translation:
+lean 3 declaration is
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (OfNat.mk.{u2} K 0 (Zero.zero.{u2} K (MulZeroClass.toHasZero.{u2} K (NonUnitalNonAssocSemiring.toMulZeroClass.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (CommRing.toRing.{u2} K _inst_7)))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (OfNat.mk.{u2} K 1 (One.one.{u2} K (AddMonoidWithOne.toOne.{u2} K (AddGroupWithOne.toAddMonoidWithOne.{u2} K (NonAssocRing.toAddGroupWithOne.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7)))))))))
+but is expected to have type
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_7 : CommRing.{u2} K] [_inst_10 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (CommRing.toRing.{u2} K _inst_7))] [_inst_11 : IsFractionRing.{u1, u2} A _inst_5 K _inst_7 _inst_10] (x : K), (Ne.{succ u2} K x (OfNat.ofNat.{u2} K 0 (Zero.toOfNat0.{u2} K (CommMonoidWithZero.toZero.{u2} K (CommSemiring.toCommMonoidWithZero.{u2} K (CommRing.toCommSemiring.{u2} K _inst_7)))))) -> (Eq.{succ u2} K (HMul.hMul.{u2, u2, u2} K K K (instHMul.{u2} K (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))) x (IsFractionRing.inv.{u1, u2} A _inst_5 _inst_6 K _inst_7 _inst_10 _inst_11 x)) (OfNat.ofNat.{u2} K 1 (One.toOfNat1.{u2} K (NonAssocRing.toOne.{u2} K (Ring.toNonAssocRing.{u2} K (CommRing.toRing.{u2} K _inst_7))))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancelₓ'. -/
 protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv A x = 1 :=
   by
   rw [IsFractionRing.inv, dif_neg hx, ←
@@ -140,6 +182,7 @@ protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv
   exact (mk'_sec _ x).symm
 #align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancel
 
+#print IsFractionRing.toField /-
 /-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is a field.
 See note [reducible non-instances]. -/
 @[reducible]
@@ -153,12 +196,19 @@ noncomputable def toField : Field K :=
       rw [IsFractionRing.inv]
       exact dif_pos rfl }
 #align is_fraction_ring.to_field IsFractionRing.toField
+-/
 
 end CommRing
 
 variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L] [Algebra A K]
   [IsFractionRing A K] {g : A →+* L}
 
+/- warning: is_fraction_ring.mk'_mk_eq_div -> IsFractionRing.mk'_mk_eq_div is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) s (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))), Eq.{succ u2} K (IsLocalization.mk'.{u1, u2} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) K (Semifield.toCommSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)) _inst_11 _inst_12 r (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_5)))))) (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_5)))))) 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_5))))))) x (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) s hs)) (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) r) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) s))
+but is expected to have type
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {r : A} {s : A} (hs : Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u2} A 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+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_divₓ'. -/
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
   mk'_eq_iff_eq_mul.2 <|
@@ -166,23 +216,47 @@ theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
         (IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors hs)).symm
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
 
+/- warning: is_fraction_ring.mk'_eq_div -> IsFractionRing.mk'_eq_div is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {r : A} (s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A 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+but is expected to have type
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+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_divₓ'. -/
 @[simp]
 theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r / algebraMap A K s :=
   mk'_mk_eq_div s.2
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
+/- warning: is_fraction_ring.div_surjective -> IsFractionRing.div_surjective is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] (z : K), Exists.{succ u1} A (fun (x : A) => Exists.{succ u1} A (fun (y : A) => Exists.{0} (Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (fun (hy : Membership.Mem.{u1, u1} A (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (SetLike.hasMem.{u1, u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) A (Submonoid.setLike.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (MonoidWithZero.toMulZeroOneClass.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))))) y (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) => Eq.{succ u2} K (HDiv.hDiv.{u2, u2, u2} K K K (instHDiv.{u2} K (DivInvMonoid.toHasDiv.{u2} K (DivisionRing.toDivInvMonoid.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) x) (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_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (fun (_x : RingHom.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) => A -> K) (RingHom.hasCoeToFun.{u1, u2} A K (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u2} K (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (algebraMap.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))) _inst_11) y)) z)))
+but is expected to have type
+  forall {A : Type.{u2}} [_inst_5 : CommRing.{u2} A] [_inst_6 : IsDomain.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] [_inst_11 : Algebra.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u2, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] (z : K), Exists.{succ u2} A (fun (x : A) => Exists.{succ u2} A (fun (y : A) => Exists.{0} (Membership.mem.{u2, u2} A (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) (SetLike.instMembership.{u2, u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (MonoidWithZero.toMulZeroOneClass.{u2} A (Semiring.toMonoidWithZero.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_5)))))) A 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(Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))) (RingHom.instRingHomClassRingHom.{u2, u1} A K (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} K (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))))))) (algebraMap.{u2, u1} A K (CommRing.toCommSemiring.{u2} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9))) _inst_11) y)) z)))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.div_surjective IsFractionRing.div_surjectiveₓ'. -/
 theorem div_surjective (z : K) :
     ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective
 
+/- warning: is_fraction_ring.is_unit_map_of_injective -> IsFractionRing.isUnit_map_of_injective is a dubious translation:
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(CommRing.toRing.{u2} A _inst_5)))))) y)))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injectiveₓ'. -/
 theorem isUnit_map_of_injective (hg : Function.Injective g) (y : nonZeroDivisors A) :
     IsUnit (g y) :=
   IsUnit.mk0 (g y) <|
     show g.toMonoidWithZeroHom y ≠ 0 from map_ne_zero_of_mem_nonZeroDivisors g hg y.2
 #align is_fraction_ring.is_unit_map_of_injective IsFractionRing.isUnit_map_of_injective
 
+/- warning: is_fraction_ring.mk'_eq_zero_iff_eq_zero -> IsFractionRing.mk'_eq_zero_iff_eq_zero is a dubious translation:
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+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zeroₓ'. -/
 @[simp]
 theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y : nonZeroDivisors R} :
     mk' K x y = 0 ↔ x = 0 :=
@@ -192,6 +266,12 @@ theorem mk'_eq_zero_iff_eq_zero [Algebra R K] [IsFractionRing R K] {x : R} {y :
     exact (exists_const _).mp hxy
 #align is_fraction_ring.mk'_eq_zero_iff_eq_zero IsFractionRing.mk'_eq_zero_iff_eq_zero
 
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+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.mk'_eq_one_iff_eq IsFractionRing.mk'_eq_one_iff_eqₓ'. -/
 theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x = y :=
   by
   refine' ⟨_, fun hxy => by rw [hxy, mk'_self']⟩
@@ -204,6 +284,12 @@ theorem mk'_eq_one_iff_eq {x : A} {y : nonZeroDivisors A} : mk' K x y = 1 ↔ x
 
 open Function
 
+/- warning: is_fraction_ring.lift -> IsFractionRing.lift is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (fun (_x : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) => A -> L) (RingHom.hasCoeToFun.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) g)) -> (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))}, (Function.Injective.{succ u1, succ u3} A L (FunLike.coe.{max (succ u1) (succ u3), succ u1, succ u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => L) _x) (MulHomClass.toFunLike.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (NonUnitalNonAssocSemiring.toMul.{u3} L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u3} L (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u3, u1, u3} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))))) g)) -> (RingHom.{u2, u3} K L (NonAssocRing.toNonAssocSemiring.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10)))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift IsFractionRing.liftₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field, we get a
 field hom sending `z : K` to `g x * (g y)⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -212,6 +298,12 @@ noncomputable def lift (hg : Injective g) : K →+* L :=
   lift fun y : nonZeroDivisors A => isUnit_map_of_injective hg y
 #align is_fraction_ring.lift IsFractionRing.lift
 
+/- warning: is_fraction_ring.lift_algebra_map -> IsFractionRing.lift_algebraMap is a dubious translation:
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+but is expected to have type
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(NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g x)
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMapₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 the field hom induced from `K` to `L` maps `x` to `g x` for all
@@ -221,6 +313,12 @@ theorem lift_algebraMap (hg : Injective g) (x) : lift hg (algebraMap A K x) = g
   lift_eq _ _
 #align is_fraction_ring.lift_algebra_map IsFractionRing.lift_algebraMap
 
+/- warning: is_fraction_ring.lift_mk' -> IsFractionRing.lift_mk' is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} [_inst_9 : Field.{u2} K] {L : Type.{u3}} [_inst_10 : Field.{u3} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] {g : RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u3} L (Ring.toNonAssocRing.{u3} L (DivisionRing.toRing.{u3} L (Field.toDivisionRing.{u3} L _inst_10))))} (hg : Function.Injective.{succ u1, succ u3} A L (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A L (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5))) 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(CommRing.toRing.{u1} A _inst_5))))))))) y)))
+but is expected to have type
+  forall {A : Type.{u3}} [_inst_5 : CommRing.{u3} A] [_inst_6 : IsDomain.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5))] {K : Type.{u1}} [_inst_9 : Field.{u1} K] {L : Type.{u2}} [_inst_10 : Field.{u2} L] [_inst_11 : Algebra.{u3, u1} A K (CommRing.toCommSemiring.{u3} A _inst_5) (DivisionSemiring.toSemiring.{u1} K (Semifield.toDivisionSemiring.{u1} K (Field.toSemifield.{u1} K _inst_9)))] [_inst_12 : IsFractionRing.{u3, u1} A _inst_5 K (Field.toCommRing.{u1} K _inst_9) _inst_11] {g : RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10))))} (hg : Function.Injective.{succ u3, succ u2} A L (FunLike.coe.{max (succ u3) (succ u2), succ u3, succ u2} (RingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) 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(NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g)) (x : A) (y : Subtype.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) (SetLike.instMembership.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A 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(Field.toDivisionRing.{u2} L _inst_10))))) A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))) (RingHom.instRingHomClassRingHom.{u3, u2} A L (NonAssocRing.toNonAssocSemiring.{u3} A (Ring.toNonAssocRing.{u3} A (CommRing.toRing.{u3} A _inst_5))) (NonAssocRing.toNonAssocSemiring.{u2} L (Ring.toNonAssocRing.{u2} L (DivisionRing.toRing.{u2} L (Field.toDivisionRing.{u2} L _inst_10)))))))) g (Subtype.val.{succ u3} A (fun (x : A) => Membership.mem.{u3, u3} A (Set.{u3} A) (Set.instMembershipSet.{u3} A) x (SetLike.coe.{u3, u3} (Submonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) A (Submonoid.instSetLikeSubmonoid.{u3} A (MulZeroOneClass.toMulOneClass.{u3} A (MonoidWithZero.toMulZeroOneClass.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) (nonZeroDivisors.{u3} A (Semiring.toMonoidWithZero.{u3} A (Ring.toSemiring.{u3} A (CommRing.toRing.{u3} A _inst_5)))))) y)))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'ₓ'. -/
 /-- Given an integral domain `A` with field of fractions `K`,
 and an injective ring hom `g : A →+* L` where `L` is a field,
 field hom induced from `K` to `L` maps `f x / f y` to `g x / g y` for all
@@ -229,6 +327,12 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
   by simp only [mk'_eq_div, map_div₀, lift_algebra_map]
 #align is_fraction_ring.lift_mk' IsFractionRing.lift_mk'
 
+/- warning: is_fraction_ring.map -> IsFractionRing.map is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (fun (_x : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) => A -> B) (RingHom.hasCoeToFun.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
+but is expected to have type
+  forall {A : Type.{u1}} {B : Type.{u2}} {K : Type.{u3}} {L : Type.{u4}} [_inst_13 : CommRing.{u1} A] [_inst_14 : CommRing.{u2} B] [_inst_15 : IsDomain.{u2} B (Ring.toSemiring.{u2} B (CommRing.toRing.{u2} B _inst_14))] [_inst_16 : CommRing.{u3} K] [_inst_17 : Algebra.{u1, u3} A K (CommRing.toCommSemiring.{u1} A _inst_13) (Ring.toSemiring.{u3} K (CommRing.toRing.{u3} K _inst_16))] [_inst_18 : IsFractionRing.{u1, u3} A _inst_13 K _inst_16 _inst_17] [_inst_19 : CommRing.{u4} L] [_inst_20 : Algebra.{u2, u4} B L (CommRing.toCommSemiring.{u2} B _inst_14) (Ring.toSemiring.{u4} L (CommRing.toRing.{u4} L _inst_19))] [_inst_21 : IsFractionRing.{u2, u4} B _inst_14 L _inst_19 _inst_20] {j : RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))}, (Function.Injective.{succ u1, succ u2} A B (FunLike.coe.{max (succ u1) (succ u2), succ u1, succ u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : A) => B) _x) (MulHomClass.toFunLike.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonUnitalNonAssocSemiring.toMul.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))))) (NonUnitalNonAssocSemiring.toMul.{u2} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))))) (NonUnitalRingHomClass.toMulHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} B (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) (RingHomClass.toNonUnitalRingHomClass.{max u1 u2, u1, u2} (RingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14)))) A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))) (RingHom.instRingHomClassRingHom.{u1, u2} A B (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_13))) (NonAssocRing.toNonAssocSemiring.{u2} B (Ring.toNonAssocRing.{u2} B (CommRing.toRing.{u2} B _inst_14))))))) j)) -> (RingHom.{u3, u4} K L (NonAssocRing.toNonAssocSemiring.{u3} K (Ring.toNonAssocRing.{u3} K (CommRing.toRing.{u3} K _inst_16))) (NonAssocRing.toNonAssocSemiring.{u4} L (Ring.toNonAssocRing.{u4} L (CommRing.toRing.{u4} L _inst_19))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.map IsFractionRing.mapₓ'. -/
 /-- Given integral domains `A, B` with fields of fractions `K`, `L`
 and an injective ring hom `j : A →+* B`, we get a field hom
 sending `z : K` to `g (j x) * (g (j y))⁻¹`, where `(x, y) : A × (non_zero_divisors A)` are
@@ -241,6 +345,12 @@ noncomputable def map {A B K L : Type _} [CommRing A] [CommRing B] [IsDomain B]
       nonZeroDivisors_le_comap_nonZeroDivisors_of_injective j hj)
 #align is_fraction_ring.map IsFractionRing.map
 
+/- warning: is_fraction_ring.field_equiv_of_ring_equiv -> IsFractionRing.fieldEquivOfRingEquiv is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (Ring.toSemiring.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (Distrib.toHasMul.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasAdd.{u1} A (Ring.toDistrib.{u1} A (CommRing.toRing.{u1} A _inst_5))) (Distrib.toHasMul.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7))) (Distrib.toHasAdd.{u3} B (Ring.toDistrib.{u3} B (CommRing.toRing.{u3} B _inst_7)))) -> (RingEquiv.{u2, u4} K L (Distrib.toHasMul.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasAdd.{u2} K (Ring.toDistrib.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9)))) (Distrib.toHasMul.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))) (Distrib.toHasAdd.{u4} L (Ring.toDistrib.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10)))))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {K : Type.{u2}} {B : Type.{u3}} [_inst_7 : CommRing.{u3} B] [_inst_8 : IsDomain.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_7))] [_inst_9 : Field.{u2} K] {L : Type.{u4}} [_inst_10 : Field.{u4} L] [_inst_11 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_9)))] [_inst_12 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_9) _inst_11] [_inst_13 : Algebra.{u3, u4} B L (CommRing.toCommSemiring.{u3} B _inst_7) (DivisionSemiring.toSemiring.{u4} L (Semifield.toDivisionSemiring.{u4} L (Field.toSemifield.{u4} L _inst_10)))] [_inst_14 : IsFractionRing.{u3, u4} B _inst_7 L (Field.toCommRing.{u4} L _inst_10) _inst_13], (RingEquiv.{u1, u3} A B (NonUnitalNonAssocRing.toMul.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))) (NonUnitalNonAssocRing.toMul.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7)))) (Distrib.toAdd.{u1} A (NonUnitalNonAssocSemiring.toDistrib.{u1} A (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u1} A (NonAssocRing.toNonUnitalNonAssocRing.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) (Distrib.toAdd.{u3} B (NonUnitalNonAssocSemiring.toDistrib.{u3} B (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} B (NonAssocRing.toNonUnitalNonAssocRing.{u3} B (Ring.toNonAssocRing.{u3} B (CommRing.toRing.{u3} B _inst_7))))))) -> (RingEquiv.{u2, u4} K L (NonUnitalNonAssocRing.toMul.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))) (NonUnitalNonAssocRing.toMul.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))) (Distrib.toAdd.{u2} K (NonUnitalNonAssocSemiring.toDistrib.{u2} K (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} K (NonAssocRing.toNonUnitalNonAssocRing.{u2} K (Ring.toNonAssocRing.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_9))))))) (Distrib.toAdd.{u4} L (NonUnitalNonAssocSemiring.toDistrib.{u4} L (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u4} L (NonAssocRing.toNonUnitalNonAssocRing.{u4} L (Ring.toNonAssocRing.{u4} L (DivisionRing.toRing.{u4} L (Field.toDivisionRing.{u4} L _inst_10))))))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.field_equiv_of_ring_equiv IsFractionRing.fieldEquivOfRingEquivₓ'. -/
 /-- Given integral domains `A, B` and localization maps to their fields of fractions
 `f : A →+* K, g : B →+* L`, an isomorphism `j : A ≃+* B` induces an isomorphism of
 fields of fractions `K ≃+* L`. -/
@@ -257,6 +367,12 @@ noncomputable def fieldEquivOfRingEquiv [Algebra B L] [IsFractionRing B L] (h :
 
 variable (S)
 
+/- warning: is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv -> IsFractionRing.isFractionRing_iff_of_base_ringEquiv is a dubious translation:
+lean 3 declaration is
+  forall {R : Type.{u1}} [_inst_1 : CommRing.{u1} R] (S : Type.{u2}) [_inst_2 : CommRing.{u2} S] [_inst_3 : Algebra.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2))] {P : Type.{u3}} [_inst_4 : CommRing.{u3} P] (h : RingEquiv.{u1, u3} R P (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasMul.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Distrib.toHasAdd.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4)))), Iff (IsFractionRing.{u1, u2} R _inst_1 S _inst_2 _inst_3) (IsFractionRing.{u3, u2} P _inst_4 S _inst_2 (RingHom.toAlgebra.{u3, u2} P S (CommRing.toCommSemiring.{u3} P _inst_4) (CommRing.toCommSemiring.{u2} S _inst_2) (RingHom.comp.{u3, u1, u2} P R S (NonAssocRing.toNonAssocSemiring.{u3} P (Ring.toNonAssocRing.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Semiring.toNonAssocSemiring.{u2} S (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2))) (algebraMap.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_2)) _inst_3) (RingEquiv.toRingHom.{u3, u1} P R (NonAssocRing.toNonAssocSemiring.{u3} P (Ring.toNonAssocRing.{u3} P (CommRing.toRing.{u3} P _inst_4))) (NonAssocRing.toNonAssocSemiring.{u1} R (Ring.toNonAssocRing.{u1} R (CommRing.toRing.{u1} R _inst_1))) (RingEquiv.symm.{u1, u3} R P (Distrib.toHasMul.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasAdd.{u1} R (Ring.toDistrib.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Distrib.toHasMul.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) (Distrib.toHasAdd.{u3} P (Ring.toDistrib.{u3} P (CommRing.toRing.{u3} P _inst_4))) h)))))
+but is expected to have type
+  forall {R : Type.{u3}} [_inst_1 : CommRing.{u3} R] (S : Type.{u1}) [_inst_2 : CommRing.{u1} S] [_inst_3 : Algebra.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2))] {P : Type.{u2}} [_inst_4 : CommRing.{u2} P] (h : RingEquiv.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))))))), Iff (IsFractionRing.{u3, u1} R _inst_1 S _inst_2 _inst_3) (IsFractionRing.{u2, u1} P _inst_4 S _inst_2 (RingHom.toAlgebra.{u2, u1} P S (CommRing.toCommSemiring.{u2} P _inst_4) (CommRing.toCommSemiring.{u1} S _inst_2) (RingHom.comp.{u2, u3, u1} P R S (NonAssocRing.toNonAssocSemiring.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))) (Semiring.toNonAssocSemiring.{u3} R (CommSemiring.toSemiring.{u3} R (CommRing.toCommSemiring.{u3} R _inst_1))) (Semiring.toNonAssocSemiring.{u1} S (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2))) (algebraMap.{u3, u1} R S (CommRing.toCommSemiring.{u3} R _inst_1) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_2)) _inst_3) (RingEquiv.toRingHom.{u2, u3} P R (NonAssocRing.toNonAssocSemiring.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4))) (NonAssocRing.toNonAssocSemiring.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1))) (RingEquiv.symm.{u3, u2} R P (NonUnitalNonAssocRing.toMul.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))) (NonUnitalNonAssocRing.toMul.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))) (Distrib.toAdd.{u3} R (NonUnitalNonAssocSemiring.toDistrib.{u3} R (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u3} R (NonAssocRing.toNonUnitalNonAssocRing.{u3} R (Ring.toNonAssocRing.{u3} R (CommRing.toRing.{u3} R _inst_1)))))) (Distrib.toAdd.{u2} P (NonUnitalNonAssocSemiring.toDistrib.{u2} P (NonUnitalNonAssocRing.toNonUnitalNonAssocSemiring.{u2} P (NonAssocRing.toNonUnitalNonAssocRing.{u2} P (Ring.toNonAssocRing.{u2} P (CommRing.toRing.{u2} P _inst_4)))))) h)))))
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquivₓ'. -/
 theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     IsFractionRing R S ↔
       @IsFractionRing P _ S _ ((algebraMap R S).comp h.symm.toRingHom).toAlgebra :=
@@ -277,6 +393,12 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     rw [← h.symm.map_mul, hz, h.symm.map_zero]
 #align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquiv
 
+/- warning: is_fraction_ring.nontrivial -> IsFractionRing.nontrivial is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) (S : Type.{u2}) [_inst_13 : CommRing.{u1} R] [_inst_14 : Nontrivial.{u1} R] [_inst_15 : CommRing.{u2} S] [_inst_16 : Algebra.{u1, u2} R S (CommRing.toCommSemiring.{u1} R _inst_13) (Ring.toSemiring.{u2} S (CommRing.toRing.{u2} S _inst_15))] [_inst_17 : IsFractionRing.{u1, u2} R _inst_13 S _inst_15 _inst_16], Nontrivial.{u2} S
+but is expected to have type
+  forall (R : Type.{u2}) (S : Type.{u1}) [_inst_13 : CommRing.{u2} R] [_inst_14 : Nontrivial.{u2} R] [_inst_15 : CommRing.{u1} S] [_inst_16 : Algebra.{u2, u1} R S (CommRing.toCommSemiring.{u2} R _inst_13) (Ring.toSemiring.{u1} S (CommRing.toRing.{u1} S _inst_15))] [_inst_17 : IsFractionRing.{u2, u1} R _inst_13 S _inst_15 _inst_16], Nontrivial.{u1} S
+Case conversion may be inaccurate. Consider using '#align is_fraction_ring.nontrivial IsFractionRing.nontrivialₓ'. -/
 protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S :=
   by
@@ -292,6 +414,7 @@ end IsFractionRing
 
 variable (R A)
 
+#print FractionRing /-
 /-- The fraction ring of a commutative ring `R` as a quotient type.
 
 We instantiate this definition as generally as possible, and assume that the
@@ -301,12 +424,15 @@ commutative ring `R` is an integral domain only when this is needed for proving.
 def FractionRing :=
   Localization (nonZeroDivisors R)
 #align fraction_ring FractionRing
+-/
 
 namespace FractionRing
 
+#print FractionRing.unique /-
 instance unique [Subsingleton R] : Unique (FractionRing R) :=
   Localization.unique
 #align fraction_ring.unique FractionRing.unique
+-/
 
 instance [Nontrivial R] : Nontrivial (FractionRing R) :=
   ⟨⟨(algebraMap R _) 0, (algebraMap _ _) 1, fun H =>
@@ -327,6 +453,12 @@ noncomputable instance : Field (FractionRing A) :=
     zsmul := SubNegMonoid.zsmul
     npow := Localization.npow _ }
 
+/- warning: fraction_ring.mk_eq_div -> FractionRing.mk_eq_div is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] {r : A} {s : coeSort.{succ u1, succ (succ u1)} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) Type.{u1} (SetLike.hasCoeToSort.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.setLike.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5))))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))}, Eq.{succ u1} (Localization.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))))) (Localization.mk.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5) (nonZeroDivisors.{u1} A 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+but is expected to have type
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(FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))) (NonUnitalRingHomClass.toMulHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) (RingHomClass.toNonUnitalRingHomClass.{u1, u1, u1} (RingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))))) A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))) (RingHom.instRingHomClassRingHom.{u1, u1} A (FractionRing.{u1} A _inst_5) (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) (Semiring.toNonAssocSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6))))))))) (algebraMap.{u1, u1} A (FractionRing.{u1} A _inst_5) (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5)))) (Subtype.val.{succ u1} A (fun (x : A) => Membership.mem.{u1, u1} A (Set.{u1} A) (Set.instMembershipSet.{u1} A) x (SetLike.coe.{u1, u1} (Submonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) A (Submonoid.instSetLikeSubmonoid.{u1} A (Monoid.toMulOneClass.{u1} A (CommMonoid.toMonoid.{u1} A (CommRing.toCommMonoid.{u1} A _inst_5)))) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))))) s)))
+Case conversion may be inaccurate. Consider using '#align fraction_ring.mk_eq_div FractionRing.mk_eq_divₓ'. -/
 @[simp]
 theorem mk_eq_div {r s} :
     (Localization.mk r s : FractionRing A) =
@@ -344,6 +476,12 @@ instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
 
 variable (A)
 
+/- warning: fraction_ring.alg_equiv -> FractionRing.algEquiv is a dubious translation:
+lean 3 declaration is
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] (K : Type.{u2}) [_inst_7 : Field.{u2} K] [_inst_8 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_7)))] [_inst_9 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_7) _inst_8], AlgEquiv.{u1, u1, u2} A (FractionRing.{u1} A _inst_5) K (CommRing.toCommSemiring.{u1} A _inst_5) (Ring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (DivisionRing.toRing.{u1} (FractionRing.{u1} A _inst_5) (Field.toDivisionRing.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.field.{u1} A _inst_5 _inst_6)))) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_7))) (Localization.algebra.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) _inst_8
+but is expected to have type
+  forall (A : Type.{u1}) [_inst_5 : CommRing.{u1} A] [_inst_6 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5))] (K : Type.{u2}) [_inst_7 : Field.{u2} K] [_inst_8 : Algebra.{u1, u2} A K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7)))] [_inst_9 : IsFractionRing.{u1, u2} A _inst_5 K (Field.toCommRing.{u2} K _inst_7) _inst_8], AlgEquiv.{u1, u1, u2} A (FractionRing.{u1} A _inst_5) K (CommRing.toCommSemiring.{u1} A _inst_5) (DivisionSemiring.toSemiring.{u1} (FractionRing.{u1} A _inst_5) (Semifield.toDivisionSemiring.{u1} (FractionRing.{u1} A _inst_5) (Field.toSemifield.{u1} (FractionRing.{u1} A _inst_5) (FractionRing.instFieldFractionRing.{u1} A _inst_5 _inst_6)))) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_7))) (Localization.instAlgebraLocalizationToCommMonoidToSemiringInstCommSemiringLocalizationToCommMonoid.{u1, u1} A (CommRing.toCommSemiring.{u1} A _inst_5) (nonZeroDivisors.{u1} A (Semiring.toMonoidWithZero.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_5)))) A (CommRing.toCommSemiring.{u1} A _inst_5) (Algebra.id.{u1} A (CommRing.toCommSemiring.{u1} A _inst_5))) _inst_8
+Case conversion may be inaccurate. Consider using '#align fraction_ring.alg_equiv FractionRing.algEquivₓ'. -/
 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient
 type and `K`. -/

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

A PR analogous to #12338 and #12361: reformatting proofs following the multiple goals linter of #12339.

@@ -269,11 +269,11 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
 protected theorem nontrivial (R S : Type*) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S := by
   apply nontrivial_of_ne
-  intro h
-  apply @zero_ne_one R
-  exact
-    IsLocalization.injective S (le_of_eq rfl)
-      (((algebraMap R S).map_zero.trans h).trans (algebraMap R S).map_one.symm)
+  · intro h
+    apply @zero_ne_one R
+    exact
+      IsLocalization.injective S (le_of_eq rfl)
+        (((algebraMap R S).map_zero.trans h).trans (algebraMap R S).map_one.symm)
 #align is_fraction_ring.nontrivial IsFractionRing.nontrivial
 
 end IsFractionRing

Define the canonical coercion from the nonnegative rationals to any division semiring.

From LeanAPAP

@@ -136,6 +136,7 @@ noncomputable def toField : Field K where
   __ := IsFractionRing.isDomain A
   mul_inv_cancel := IsFractionRing.mul_inv_cancel A
   inv_zero := show IsFractionRing.inv A (0 : K) = 0 by rw [IsFractionRing.inv]; exact dif_pos rfl
+  nnqsmul := _
   qsmul := _
 #align is_fraction_ring.to_field IsFractionRing.toField
 

This is the parts of the diff of #11203 which don't mention NNRat.cast.

• Use more where notation.
• Write qsmul := _ instead of qsmul := qsmulRec _ to make the instances more robust to definition changes.
• Delete qsmulRec.
• Move qsmul before ratCast_def in instance declarations.
• Name more instances.
• Rename rat_smul to qsmul.

@@ -132,15 +132,11 @@ protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv
 /-- A `CommRing` `K` which is the localization of an integral domain `R` at `R - {0}` is a field.
 See note [reducible non-instances]. -/
 @[reducible]
-noncomputable def toField : Field K :=
-  { IsFractionRing.isDomain A, inferInstanceAs (CommRing K) with
-    inv := IsFractionRing.inv A
-    mul_inv_cancel := IsFractionRing.mul_inv_cancel A
-    inv_zero := by
-      change IsFractionRing.inv A (0 : K) = 0
-      rw [IsFractionRing.inv]
-      exact dif_pos rfl
-    qsmul := qsmulRec _ }
+noncomputable def toField : Field K where
+  __ := IsFractionRing.isDomain A
+  mul_inv_cancel := IsFractionRing.mul_inv_cancel A
+  inv_zero := show IsFractionRing.inv A (0 : K) = 0 by rw [IsFractionRing.inv]; exact dif_pos rfl
+  qsmul := _
 #align is_fraction_ring.to_field IsFractionRing.toField
 
 lemma surjective_iff_isField [IsDomain R] : Function.Surjective (algebraMap R K) ↔ IsField R where

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

@@ -5,6 +5,7 @@ Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baan
 -/
 import Mathlib.Algebra.Algebra.Tower
 import Mathlib.RingTheory.Localization.Basic
+import Mathlib.Algebra.Field.Equiv
 
 #align_import ring_theory.localization.fraction_ring from "leanprover-community/mathlib"@"831c494092374cfe9f50591ed0ac81a25efc5b86"
 

Reduce the diff of #11499

Renames

All in the Int namespace:

• ofNat_eq_cast → ofNat_eq_natCast
• cast_eq_cast_iff_Nat → natCast_inj
• natCast_eq_ofNat → ofNat_eq_natCast
• coe_nat_sub → natCast_sub
• coe_nat_nonneg → natCast_nonneg
• sign_coe_add_one → sign_natCast_add_one
• nat_succ_eq_int_succ → natCast_succ
• succ_neg_nat_succ → succ_neg_natCast_succ
• coe_pred_of_pos → natCast_pred_of_pos
• coe_nat_div → natCast_div
• coe_nat_ediv → natCast_ediv
• sign_coe_nat_of_nonzero → sign_natCast_of_ne_zero
• toNat_coe_nat → toNat_natCast
• toNat_coe_nat_add_one → toNat_natCast_add_one
• coe_nat_dvd → natCast_dvd_natCast
• coe_nat_dvd_left → natCast_dvd
• coe_nat_dvd_right → dvd_natCast
• le_coe_nat_sub → le_natCast_sub
• succ_coe_nat_pos → succ_natCast_pos
• coe_nat_modEq_iff → natCast_modEq_iff
• coe_natAbs → natCast_natAbs
• coe_nat_eq_zero → natCast_eq_zero
• coe_nat_ne_zero → natCast_ne_zero
• coe_nat_ne_zero_iff_pos → natCast_ne_zero_iff_pos
• abs_coe_nat → abs_natCast
• coe_nat_nonpos_iff → natCast_nonpos_iff

Also rename Nat.coe_nat_dvd to Nat.cast_dvd_cast

@@ -54,7 +54,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
   surj' := by
     rintro ⟨n, d, hd, h⟩
     refine' ⟨⟨n, ⟨d, _⟩⟩, Rat.mul_den_eq_num⟩
-    rw [mem_nonZeroDivisors_iff_ne_zero, Int.coe_nat_ne_zero_iff_pos]
+    rw [mem_nonZeroDivisors_iff_ne_zero, Int.natCast_ne_zero_iff_pos]
     exact Nat.zero_lt_of_ne_zero hd
   exists_of_eq {x y} := by
     rw [eq_intCast, eq_intCast, Int.cast_inj]

@@ -50,7 +50,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
   map_units' := by
     rintro ⟨x, hx⟩
     rw [mem_nonZeroDivisors_iff_ne_zero] at hx
-    simpa only [eq_intCast, isUnit_iff_ne_zero, Int.cast_eq_zero, Ne.def, Subtype.coe_mk] using hx
+    simpa only [eq_intCast, isUnit_iff_ne_zero, Int.cast_eq_zero, Ne, Subtype.coe_mk] using hx
   surj' := by
     rintro ⟨n, d, hd, h⟩
     refine' ⟨⟨n, ⟨d, _⟩⟩, Rat.mul_den_eq_num⟩

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

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

| Statement | New name | Old name | |

@@ -158,7 +158,7 @@ variable {B : Type*} [CommRing B] [IsDomain B] [Field K] {L : Type*} [Field L] [
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
     mk' K r ⟨s, hs⟩ = algebraMap A K r / algebraMap A K s :=
   mk'_eq_iff_eq_mul.2 <|
-    (div_mul_cancel (algebraMap A K r)
+    (div_mul_cancel₀ (algebraMap A K r)
         (IsFractionRing.to_map_ne_zero_of_mem_nonZeroDivisors hs)).symm
 #align is_fraction_ring.mk'_mk_eq_div IsFractionRing.mk'_mk_eq_div
 

Empty lines were removed by executing the following Python script twice

import os
import re


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

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

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

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

@@ -33,9 +33,7 @@ commutative ring, field of fractions
 
 
 variable (R : Type*) [CommRing R] {M : Submonoid R} (S : Type*) [CommRing S]
-
 variable [Algebra R S] {P : Type*} [CommRing P]
-
 variable {A : Type*} [CommRing A] [IsDomain A] (K : Type*)
 
 -- TODO: should this extend `Algebra` instead of assuming it?

Follows on from #6262. Again, this does not attempt to fix any diamonds; it only identifies where they may be.

@@ -140,7 +140,8 @@ noncomputable def toField : Field K :=
     inv_zero := by
       change IsFractionRing.inv A (0 : K) = 0
       rw [IsFractionRing.inv]
-      exact dif_pos rfl }
+      exact dif_pos rfl
+    qsmul := qsmulRec _ }
 #align is_fraction_ring.to_field IsFractionRing.toField
 
 lemma surjective_iff_isField [IsDomain R] : Function.Surjective (algebraMap R K) ↔ IsField R where

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

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

@@ -109,7 +109,7 @@ protected theorem isDomain : IsDomain K :=
 #align is_fraction_ring.is_domain IsFractionRing.isDomain
 
 /-- The inverse of an element in the field of fractions of an integral domain. -/
-protected noncomputable irreducible_def inv (z : K) : K := open Classical in
+protected noncomputable irreducible_def inv (z : K) : K := open scoped Classical in
   if h : z = 0 then 0
   else
     mk' K ↑(sec (nonZeroDivisors A) z).2

@@ -169,7 +169,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
 theorem div_surjective (z : K) :
-    ∃ (x y : A) (_ : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
+    ∃ x y : A, y ∈ nonZeroDivisors A ∧ algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective

Also moved Algebra.discr_eq_discr_of_toMatrix_coeff_isIntegral to Mathlib/NumberTheory/NumberField/Discriminant.lean.

Co-authored-by: Andrew Yang <36414270+erdOne@users.noreply.github.com>

@@ -143,6 +143,14 @@ noncomputable def toField : Field K :=
       exact dif_pos rfl }
 #align is_fraction_ring.to_field IsFractionRing.toField
 
+lemma surjective_iff_isField [IsDomain R] : Function.Surjective (algebraMap R K) ↔ IsField R where
+  mp h := (RingEquiv.ofBijective (algebraMap R K)
+      ⟨IsFractionRing.injective R K, h⟩).toMulEquiv.isField (IsFractionRing.toField R).toIsField
+  mpr h :=
+    letI := h.toField
+    (IsLocalization.atUnits R _ (S := K)
+      (fun _ hx ↦ Ne.isUnit (mem_nonZeroDivisors_iff_ne_zero.mp hx))).surjective
+
 end CommRing
 
 variable {B : Type*} [CommRing B] [IsDomain B] [Field K] {L : Type*} [Field L] [Algebra A K]

@@ -44,6 +44,9 @@ abbrev IsFractionRing [CommRing K] [Algebra R K] :=
   IsLocalization (nonZeroDivisors R) K
 #align is_fraction_ring IsFractionRing
 
+instance {R : Type*} [Field R] : IsFractionRing R R :=
+  IsLocalization.at_units _ (fun _ ↦ isUnit_of_mem_nonZeroDivisors)
+
 /-- The cast from `Int` to `Rat` as a `FractionRing`. -/
 instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
   map_units' := by
@@ -314,8 +317,7 @@ noncomputable def liftAlgebra [IsDomain R] [Field K] [Algebra R K]
   RingHom.toAlgebra (IsFractionRing.lift (NoZeroSMulDivisors.algebraMap_injective R _))
 
 -- Porting note: had to fill in the `_` by hand for this instance
-/-- Should be introduced locally after introducing `FractionRing.liftAlgebra` -/
-theorem isScalarTower_liftAlgebra [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
+instance isScalarTower_liftAlgebra [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
     by letI := liftAlgebra R K; exact IsScalarTower R (FractionRing R) K := by
   letI := liftAlgebra R K
   exact IsScalarTower.of_algebraMap_eq fun x =>

The other direction is a consequence of IsLocalization.map_units.

Also do the same for LocalizationMap and IsLocalizedModule.

This means we have one less fact to prove when constructing an IsLocalization (etc.) instance (thus many proofs are golfed), but once we construct it we still have access to the eq_iff_exists lemmas (without the prime) so the API doesn't get less powerful.

Co-authored-by: Junyan Xu <junyanxu.math@gmail.com>

@@ -55,15 +55,10 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
     refine' ⟨⟨n, ⟨d, _⟩⟩, Rat.mul_den_eq_num⟩
     rw [mem_nonZeroDivisors_iff_ne_zero, Int.coe_nat_ne_zero_iff_pos]
     exact Nat.zero_lt_of_ne_zero hd
-  eq_iff_exists' := by
-    intro x y
+  exists_of_eq {x y} := by
     rw [eq_intCast, eq_intCast, Int.cast_inj]
-    apply Iff.intro
-    · rintro rfl
-      use 1
-    · rintro ⟨⟨c, hc⟩, h⟩
-      apply mul_left_cancel₀ _ h
-      rwa [mem_nonZeroDivisors_iff_ne_zero] at hc
+    rintro rfl
+    use 1
 #align rat.is_fraction_ring Rat.isFractionRing
 
 namespace IsFractionRing

This eliminates (fun a ↦ β) α in the type when applying a FunLike.

Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

@@ -163,7 +163,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
 theorem div_surjective (z : K) :
-    ∃ (x y : A) (hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
+    ∃ (x y : A) (_ : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective

Purely cosmetic PR.

@@ -324,7 +324,7 @@ theorem isScalarTower_liftAlgebra [IsDomain R] [Field K] [Algebra R K] [NoZeroSM
     by letI := liftAlgebra R K; exact IsScalarTower R (FractionRing R) K := by
   letI := liftAlgebra R K
   exact IsScalarTower.of_algebraMap_eq fun x =>
-    (IsFractionRing.lift_algebraMap (NoZeroSMulDivisors.algebraMap_injective R K ) x).symm
+    (IsFractionRing.lift_algebraMap (NoZeroSMulDivisors.algebraMap_injective R K) x).symm
 
 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient

@@ -310,14 +310,20 @@ theorem mk_eq_div {r s} :
   by rw [Localization.mk_eq_mk', IsFractionRing.mk'_eq_div]
 #align fraction_ring.mk_eq_div FractionRing.mk_eq_div
 
-noncomputable instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
-    Algebra (FractionRing R) K :=
+/-- This is not an instance because it creates a diamond when `K = FractionRing R`.
+Should usually be introduced locally along with `isScalarTower_liftAlgebra`
+See note [reducible non-instances]. -/
+@[reducible]
+noncomputable def liftAlgebra [IsDomain R] [Field K] [Algebra R K]
+    [NoZeroSMulDivisors R K] : Algebra (FractionRing R) K :=
   RingHom.toAlgebra (IsFractionRing.lift (NoZeroSMulDivisors.algebraMap_injective R _))
 
 -- Porting note: had to fill in the `_` by hand for this instance
-instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
-    IsScalarTower R (FractionRing R) K :=
-  IsScalarTower.of_algebraMap_eq fun x =>
+/-- Should be introduced locally after introducing `FractionRing.liftAlgebra` -/
+theorem isScalarTower_liftAlgebra [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
+    by letI := liftAlgebra R K; exact IsScalarTower R (FractionRing R) K := by
+  letI := liftAlgebra R K
+  exact IsScalarTower.of_algebraMap_eq fun x =>
     (IsFractionRing.lift_algebraMap (NoZeroSMulDivisors.algebraMap_injective R K ) x).symm
 
 /-- Given an integral domain `A` and a localization map to a field of fractions

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

This has nice performance benefits.

@@ -32,11 +32,11 @@ commutative ring, field of fractions
 -/
 
 
-variable (R : Type _) [CommRing R] {M : Submonoid R} (S : Type _) [CommRing S]
+variable (R : Type*) [CommRing R] {M : Submonoid R} (S : Type*) [CommRing S]
 
-variable [Algebra R S] {P : Type _} [CommRing P]
+variable [Algebra R S] {P : Type*} [CommRing P]
 
-variable {A : Type _} [CommRing A] [IsDomain A] (K : Type _)
+variable {A : Type*} [CommRing A] [IsDomain A] (K : Type*)
 
 -- TODO: should this extend `Algebra` instead of assuming it?
 /-- `IsFractionRing R K` states `K` is the field of fractions of an integral domain `R`. -/
@@ -147,7 +147,7 @@ noncomputable def toField : Field K :=
 
 end CommRing
 
-variable {B : Type _} [CommRing B] [IsDomain B] [Field K] {L : Type _} [Field L] [Algebra A K]
+variable {B : Type*} [CommRing B] [IsDomain B] [Field K] {L : Type*} [Field L] [Algebra A K]
   [IsFractionRing A K] {g : A →+* L}
 
 theorem mk'_mk_eq_div {r s} (hs : s ∈ nonZeroDivisors A) :
@@ -222,7 +222,7 @@ theorem lift_mk' (hg : Injective g) (x) (y : nonZeroDivisors A) : lift hg (mk' K
 and an injective ring hom `j : A →+* B`, we get a field hom
 sending `z : K` to `g (j x) * (g (j y))⁻¹`, where `(x, y) : A × (NonZeroDivisors A)` are
 such that `z = f x * (f y)⁻¹`. -/
-noncomputable def map {A B K L : Type _} [CommRing A] [CommRing B] [IsDomain B] [CommRing K]
+noncomputable def map {A B K L : Type*} [CommRing A] [CommRing B] [IsDomain B] [CommRing K]
     [Algebra A K] [IsFractionRing A K] [CommRing L] [Algebra B L] [IsFractionRing B L] {j : A →+* B}
     (hj : Injective j) : K →+* L :=
   IsLocalization.map L j
@@ -263,7 +263,7 @@ theorem isFractionRing_iff_of_base_ringEquiv (h : R ≃+* P) :
     rw [← h.symm.map_mul, hz, h.symm.map_zero]
 #align is_fraction_ring.is_fraction_ring_iff_of_base_ring_equiv IsFractionRing.isFractionRing_iff_of_base_ringEquiv
 
-protected theorem nontrivial (R S : Type _) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
+protected theorem nontrivial (R S : Type*) [CommRing R] [Nontrivial R] [CommRing S] [Algebra R S]
     [IsFractionRing R S] : Nontrivial S := by
   apply nontrivial_of_ne
   intro h
@@ -323,7 +323,7 @@ instance [IsDomain R] [Field K] [Algebra R K] [NoZeroSMulDivisors R K] :
 /-- Given an integral domain `A` and a localization map to a field of fractions
 `f : A →+* K`, we get an `A`-isomorphism between the field of fractions of `A` as a quotient
 type and `K`. -/
-noncomputable def algEquiv (K : Type _) [Field K] [Algebra A K] [IsFractionRing A K] :
+noncomputable def algEquiv (K : Type*) [Field K] [Algebra A K] [IsFractionRing A K] :
     FractionRing A ≃ₐ[A] K :=
   Localization.algEquiv (nonZeroDivisors A) K
 #align fraction_ring.alg_equiv FractionRing.algEquiv

Per https://github.com/leanprover/lean4/issues/2343, we are going to need to change the automatic generation of instance names, as they become too long.

This PR ensures that everywhere in Mathlib that refers to an instance by name, that name is given explicitly, rather than being automatically generated.

There are four exceptions, which are now commented, with links to https://github.com/leanprover/lean4/issues/2343.

This was implemented by running Mathlib against a modified Lean that appended _ᾰ to all automatically generated names, and fixing everything.

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

@@ -292,7 +292,7 @@ def FractionRing :=
 namespace FractionRing
 
 instance unique [Subsingleton R] : Unique (FractionRing R) :=
-  Localization.instUniqueLocalizationToCommMonoid
+  Localization.instUniqueLocalization
 #align fraction_ring.unique FractionRing.unique
 
 instance [Nontrivial R] : Nontrivial (FractionRing R) :=

• depends on: #5966

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

@@ -2,15 +2,12 @@
 Copyright (c) 2018 Kenny Lau. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Kenny Lau, Mario Carneiro, Johan Commelin, Amelia Livingston, Anne Baanen
-
-! This file was ported from Lean 3 source module ring_theory.localization.fraction_ring
-! leanprover-community/mathlib commit 831c494092374cfe9f50591ed0ac81a25efc5b86
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Algebra.Tower
 import Mathlib.RingTheory.Localization.Basic
 
+#align_import ring_theory.localization.fraction_ring from "leanprover-community/mathlib"@"831c494092374cfe9f50591ed0ac81a25efc5b86"
+
 /-!
 # Fraction ring / fraction field Frac(R) as localization
 

@@ -284,6 +284,8 @@ variable (A)
 
 We instantiate this definition as generally as possible, and assume that the
 commutative ring `R` is an integral domain only when this is needed for proving.
+
+In this generality, this construction is also known as the *total fraction ring* of `R`.
 -/
 @[reducible]
 def FractionRing :=

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

@@ -53,7 +53,7 @@ instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
     rintro ⟨x, hx⟩
     rw [mem_nonZeroDivisors_iff_ne_zero] at hx
     simpa only [eq_intCast, isUnit_iff_ne_zero, Int.cast_eq_zero, Ne.def, Subtype.coe_mk] using hx
-  surj':= by
+  surj' := by
     rintro ⟨n, d, hd, h⟩
     refine' ⟨⟨n, ⟨d, _⟩⟩, Rat.mul_den_eq_num⟩
     rw [mem_nonZeroDivisors_iff_ne_zero, Int.coe_nat_ne_zero_iff_pos]
@@ -166,7 +166,7 @@ theorem mk'_eq_div {r} (s : nonZeroDivisors A) : mk' K r s = algebraMap A K r /
 #align is_fraction_ring.mk'_eq_div IsFractionRing.mk'_eq_div
 
 theorem div_surjective (z : K) :
-    ∃ (x y : A)(hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
+    ∃ (x y : A) (hy : y ∈ nonZeroDivisors A), algebraMap _ _ x / algebraMap _ _ y = z :=
   let ⟨x, ⟨y, hy⟩, h⟩ := mk'_surjective (nonZeroDivisors A) z
   ⟨x, y, hy, by rwa [mk'_eq_div] at h⟩
 #align is_fraction_ring.div_surjective IsFractionRing.div_surjective

Co-authored-by: Xavier-François Roblot <46200072+xroblot@users.noreply.github.com> Co-authored-by: int-y1 <jason_yuen2007@hotmail.com>

@@ -302,7 +302,7 @@ instance [Nontrivial R] : Nontrivial (FractionRing R) :=
 
 /-- Porting note: if the fields of this instance are explicitly defined as they were
 in mathlib3, the last instance in this file suffers a TC timeout -/
-noncomputable instance : Field (FractionRing A) := IsFractionRing.toField A
+noncomputable instance field : Field (FractionRing A) := IsFractionRing.toField A
 
 @[simp]
 theorem mk_eq_div {r s} :

@@ -113,11 +113,8 @@ protected theorem isDomain : IsDomain K :=
   isDomain_of_le_nonZeroDivisors _ (le_refl (nonZeroDivisors A))
 #align is_fraction_ring.is_domain IsFractionRing.isDomain
 
-attribute [local instance] Classical.decEq
-
 /-- The inverse of an element in the field of fractions of an integral domain. -/
--- Porting note: Had to replace `irreducible_def` with the `@[irreducible]` attribute.
-@[irreducible] protected noncomputable def inv (z : K) : K :=
+protected noncomputable irreducible_def inv (z : K) : K := open Classical in
   if h : z = 0 then 0
   else
     mk' K ↑(sec (nonZeroDivisors A) z).2

@@ -41,15 +41,14 @@ variable [Algebra R S] {P : Type _} [CommRing P]
 
 variable {A : Type _} [CommRing A] [IsDomain A] (K : Type _)
 
--- TODO: should this extend `algebra` instead of assuming it?
+-- TODO: should this extend `Algebra` instead of assuming it?
 /-- `IsFractionRing R K` states `K` is the field of fractions of an integral domain `R`. -/
 abbrev IsFractionRing [CommRing K] [Algebra R K] :=
   IsLocalization (nonZeroDivisors R) K
 #align is_fraction_ring IsFractionRing
 
-/-- The cast from `int` to `rat` as a `FractionRing`. -/
-instance Rat.isFractionRing : IsFractionRing ℤ ℚ
-    where
+/-- The cast from `Int` to `Rat` as a `FractionRing`. -/
+instance Rat.isFractionRing : IsFractionRing ℤ ℚ where
   map_units' := by
     rintro ⟨x, hx⟩
     rw [mem_nonZeroDivisors_iff_ne_zero] at hx
@@ -81,7 +80,7 @@ section CommRing
 variable [CommRing K] [Algebra R K] [IsFractionRing R K] [Algebra A K] [IsFractionRing A K]
 
 theorem to_map_eq_zero_iff {x : R} : algebraMap R K x = 0 ↔ x = 0 :=
-  IsLocalization.to_map_eq_zero_iff _ (le_of_eq rfl)
+  IsLocalization.to_map_eq_zero_iff _ le_rfl
 #align is_fraction_ring.to_map_eq_zero_iff IsFractionRing.to_map_eq_zero_iff
 
 variable (R K)
@@ -108,7 +107,7 @@ protected theorem to_map_ne_zero_of_mem_nonZeroDivisors [Nontrivial R] {x : R}
 
 variable (A)
 
-/-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is an
+/-- A `CommRing` `K` which is the localization of an integral domain `R` at `R - {0}` is an
 integral domain. -/
 protected theorem isDomain : IsDomain K :=
   isDomain_of_le_nonZeroDivisors _ (le_refl (nonZeroDivisors A))
@@ -139,12 +138,11 @@ protected theorem mul_inv_cancel (x : K) (hx : x ≠ 0) : x * IsFractionRing.inv
   exact (mk'_sec _ x).symm
 #align is_fraction_ring.mul_inv_cancel IsFractionRing.mul_inv_cancel
 
-/-- A `comm_ring` `K` which is the localization of an integral domain `R` at `R - {0}` is a field.
+/-- A `CommRing` `K` which is the localization of an integral domain `R` at `R - {0}` is a field.
 See note [reducible non-instances]. -/
 @[reducible]
 noncomputable def toField : Field K :=
-  { IsFractionRing.isDomain A,
-    show CommRing K by infer_instance with
+  { IsFractionRing.isDomain A, inferInstanceAs (CommRing K) with
     inv := IsFractionRing.inv A
     mul_inv_cancel := IsFractionRing.mul_inv_cancel A
     inv_zero := by
@@ -334,8 +332,7 @@ noncomputable def algEquiv (K : Type _) [Field K] [Algebra A K] [IsFractionRing
   Localization.algEquiv (nonZeroDivisors A) K
 #align fraction_ring.alg_equiv FractionRing.algEquiv
 
-instance [Algebra R A] [NoZeroSMulDivisors R A] : NoZeroSMulDivisors R (FractionRing A) :=
-  by
+instance [Algebra R A] [NoZeroSMulDivisors R A] : NoZeroSMulDivisors R (FractionRing A) := by
   apply NoZeroSMulDivisors.of_algebraMap_injective
   rw [IsScalarTower.algebraMap_eq R A]
   apply Function.Injective.comp (NoZeroSMulDivisors.algebraMap_injective A (FractionRing A))

Co-authored-by: Ruben Van de Velde <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Parcly Taxel <reddeloostw@gmail.com>