ring_theory.valuation.extend_to_localization

Changes since the initial port

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

Changes in mathlib3

64b3576f

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

1b0a28e1

bump to nightly-2023-09-24-06

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

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
 -/
-import Mathbin.RingTheory.Localization.AtPrime
-import Mathbin.RingTheory.Valuation.Basic
+import RingTheory.Localization.AtPrime
+import RingTheory.Valuation.Basic
 
 #align_import ring_theory.valuation.extend_to_localization from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"

1b0a28e1

bump to nightly-2023-07-20-09

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

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
-
-! This file was ported from Lean 3 source module ring_theory.valuation.extend_to_localization
-! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.RingTheory.Localization.AtPrime
 import Mathbin.RingTheory.Valuation.Basic
 
+#align_import ring_theory.valuation.extend_to_localization from "leanprover-community/mathlib"@"1b0a28e1c93409dbf6d69526863cd9984ef652ce"
+
 /-!
 
 # Extending valuations to a localization

1b0a28e1

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -29,6 +29,7 @@ variable {A : Type _} [CommRing A] {Γ : Type _} [LinearOrderedCommGroupWithZero
   (v : Valuation A Γ) {S : Submonoid A} (hS : S ≤ v.supp.primeCompl) (B : Type _) [CommRing B]
   [Algebra A B] [IsLocalization S B]
 
+#print Valuation.extendToLocalization /-
 /-- We can extend a valuation `v` on a ring to a localization at a submonoid of
 the complement of `v.supp`. -/
 noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
@@ -49,10 +50,13 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
       iterate 3 rw [f.lift_mk']; rw [max_mul_mul_right]
       apply mul_le_mul_right' (v.map_add a b) }
 #align valuation.extend_to_localization Valuation.extendToLocalization
+-/
 
+#print Valuation.extendToLocalization_apply_map_apply /-
 @[simp]
 theorem Valuation.extendToLocalization_apply_map_apply (a : A) :
     v.extendToLocalization hS B (algebraMap A B a) = v a :=
   Submonoid.LocalizationMap.lift_eq _ _ a
 #align valuation.extend_to_localization_apply_map_apply Valuation.extendToLocalization_apply_map_apply
+-/

1b0a28e1

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -38,7 +38,7 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
     map_zero' := by convert f.lift_eq _ 0 <;> simp
     map_add_le_max' := fun x y =>
       by
-      obtain ⟨a, b, s, rfl, rfl⟩ : ∃ (a b : A)(s : S), f.mk' a s = x ∧ f.mk' b s = y :=
+      obtain ⟨a, b, s, rfl, rfl⟩ : ∃ (a b : A) (s : S), f.mk' a s = x ∧ f.mk' b s = y :=
         by
         obtain ⟨a, s, rfl⟩ := f.mk'_surjective x
         obtain ⟨b, t, rfl⟩ := f.mk'_surjective y

1b0a28e1

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -29,12 +29,6 @@ variable {A : Type _} [CommRing A] {Γ : Type _} [LinearOrderedCommGroupWithZero
   (v : Valuation A Γ) {S : Submonoid A} (hS : S ≤ v.supp.primeCompl) (B : Type _) [CommRing B]
   [Algebra A B] [IsLocalization S B]
 
-/- warning: valuation.extend_to_localization -> Valuation.extendToLocalization is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))}, (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.extendToLocalization._proof_1.{u1, u2} A _inst_1 Γ _inst_2 v))) -> (forall (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4], Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3))
-but is expected to have type
-  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))}, (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.instIsPrimeToSemiringToCommSemiringSupp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v (LinearOrderedCommGroupWithZero.toNontrivial.{u2} Γ _inst_2) (GroupWithZero.noZeroDivisors.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2)))))) -> (forall (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4], Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3))
-Case conversion may be inaccurate. Consider using '#align valuation.extend_to_localization Valuation.extendToLocalizationₓ'. -/
 /-- We can extend a valuation `v` on a ring to a localization at a submonoid of
 the complement of `v.supp`. -/
 noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
@@ -56,9 +50,6 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
       apply mul_le_mul_right' (v.map_add a b) }
 #align valuation.extend_to_localization Valuation.extendToLocalization
 
-/- warning: valuation.extend_to_localization_apply_map_apply -> Valuation.extendToLocalization_apply_map_apply is a dubious translation:
-<too large>
-Case conversion may be inaccurate. Consider using '#align valuation.extend_to_localization_apply_map_apply Valuation.extendToLocalization_apply_map_applyₓ'. -/
 @[simp]
 theorem Valuation.extendToLocalization_apply_map_apply (a : A) :
     v.extendToLocalization hS B (algebraMap A B a) = v a :=

1b0a28e1

bump to nightly-2023-05-28-04

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

6797a637

Diff

@@ -48,16 +48,11 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
         by
         obtain ⟨a, s, rfl⟩ := f.mk'_surjective x
         obtain ⟨b, t, rfl⟩ := f.mk'_surjective y
-        use a * t, b * s, s * t
-        constructor <;>
-          · rw [f.mk'_eq_iff_eq, Submonoid.coe_mul]
-            ring_nf
+        use a * t, b * s, s * t; constructor <;> · rw [f.mk'_eq_iff_eq, Submonoid.coe_mul]; ring_nf
       convert_to f.lift h (f.mk' (a + b) s) ≤ max (f.lift h _) (f.lift h _)
       · refine' congr_arg (f.lift h) (IsLocalization.eq_mk'_iff_mul_eq.2 _)
-        rw [add_mul, map_add]
-        iterate 2 erw [IsLocalization.mk'_spec]
-      iterate 3 rw [f.lift_mk']
-      rw [max_mul_mul_right]
+        rw [add_mul, map_add]; iterate 2 erw [IsLocalization.mk'_spec]
+      iterate 3 rw [f.lift_mk']; rw [max_mul_mul_right]
       apply mul_le_mul_right' (v.map_add a b) }
 #align valuation.extend_to_localization Valuation.extendToLocalization

1b0a28e1

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -62,10 +62,7 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
 #align valuation.extend_to_localization Valuation.extendToLocalization
 
 /- warning: valuation.extend_to_localization_apply_map_apply -> Valuation.extendToLocalization_apply_map_apply is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))} (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.supp.Ideal.isPrime.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v (GroupWithZero.to_nontrivial.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2))) (GroupWithZero.noZeroDivisors.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2)))))) (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4] (a : A), Eq.{succ u2} Γ (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3)) (fun (_x : Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3)) => B -> Γ) (Valuation.hasCoeToFun.{u3, u2} B Γ (CommRing.toRing.{u3} B _inst_3) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2)) (Valuation.extendToLocalization.{u1, u2, u3} A _inst_1 Γ _inst_2 v S hS B _inst_3 _inst_4 _inst_5) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) (fun (_x : RingHom.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) => A -> B) (RingHom.hasCoeToFun.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) (algebraMap.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)) _inst_4) a)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) (fun (_x : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) => A -> Γ) (Valuation.hasCoeToFun.{u1, u2} A Γ (CommRing.toRing.{u1} A _inst_1) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2)) v a)
-but is expected to have type
-  forall {A : Type.{u2}} [_inst_1 : CommRing.{u2} A] {Γ : Type.{u3}} [_inst_2 : LinearOrderedCommGroupWithZero.{u3} Γ] (v : Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) {S : Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))} (hS : LE.le.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Preorder.toLE.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (PartialOrder.toPreorder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (Ideal.primeCompl.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1) (Valuation.supp.{u2, u3} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) v) (Valuation.instIsPrimeToSemiringToCommSemiringSupp.{u2, u3} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) v (LinearOrderedCommGroupWithZero.toNontrivial.{u3} Γ _inst_2) (GroupWithZero.noZeroDivisors.{u3} Γ (CommGroupWithZero.toGroupWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u3} Γ _inst_2)))))) (B : Type.{u1}) [_inst_3 : CommRing.{u1} B] [_inst_4 : Algebra.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))] [_inst_5 : IsLocalization.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u1} B _inst_3) _inst_4] (a : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => Γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A (fun (a : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) a) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))))) (algebraMap.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)) _inst_4) a)) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => Γ) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (MulOneClass.toMul.{u1} B (MulZeroOneClass.toMulOneClass.{u1} B (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3)))))) (MulOneClass.toMul.{u3} Γ (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (MonoidHomClass.toMulHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (MulZeroOneClass.toMulOneClass.{u1} B (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3))))) (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2))))) (MonoidWithZeroHomClass.toMonoidHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3)))) (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))) (ValuationClass.toMonoidWithZeroHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3) (Valuation.instValuationClassValuation.{u1, u3} B Γ (CommRing.toRing.{u1} B _inst_3) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (Valuation.extendToLocalization.{u2, u3, u1} A _inst_1 Γ _inst_2 v S hS B _inst_3 _inst_4 _inst_5) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))))) (algebraMap.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)) _inst_4) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => Γ) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (MulOneClass.toMul.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1)))))) (MulOneClass.toMul.{u3} Γ (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (MonoidHomClass.toMulHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1))))) (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2))))) (MonoidWithZeroHomClass.toMonoidHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1)))) (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))) (ValuationClass.toMonoidWithZeroHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1) (Valuation.instValuationClassValuation.{u2, u3} A Γ (CommRing.toRing.{u2} A _inst_1) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) v a)
+<too large>
 Case conversion may be inaccurate. Consider using '#align valuation.extend_to_localization_apply_map_apply Valuation.extendToLocalization_apply_map_applyₓ'. -/
 @[simp]
 theorem Valuation.extendToLocalization_apply_map_apply (a : A) :

1b0a28e1

bump to nightly-2023-05-22-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/1b0a28e1c93409dbf6d69526863cd9984ef652ce

5dfda1a5

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
 
 ! This file was ported from Lean 3 source module ring_theory.valuation.extend_to_localization
-! leanprover-community/mathlib commit 64b3576ff5bbac1387223e93988368644fcbcd7e
+! leanprover-community/mathlib commit 1b0a28e1c93409dbf6d69526863cd9984ef652ce
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.RingTheory.Valuation.Basic
 
 # Extending valuations to a localization
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 We show that, given a valuation `v` taking values in a linearly ordered commutative *group*
 with zero `Γ`, and a submonoid `S` of `v.supp.prime_compl`, the valuation `v` can be naturally
 extended to the localization `S⁻¹A`.

64b3576f

bump to nightly-2023-05-20-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/f51de8769c34652d82d1c8e5f8f18f8374782bed

cb56d47a

Diff

@@ -26,6 +26,12 @@ variable {A : Type _} [CommRing A] {Γ : Type _} [LinearOrderedCommGroupWithZero
   (v : Valuation A Γ) {S : Submonoid A} (hS : S ≤ v.supp.primeCompl) (B : Type _) [CommRing B]
   [Algebra A B] [IsLocalization S B]
 
+/- warning: valuation.extend_to_localization -> Valuation.extendToLocalization is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))}, (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.extendToLocalization._proof_1.{u1, u2} A _inst_1 Γ _inst_2 v))) -> (forall (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4], Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))}, (LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Preorder.toLE.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.instIsPrimeToSemiringToCommSemiringSupp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v (LinearOrderedCommGroupWithZero.toNontrivial.{u2} Γ _inst_2) (GroupWithZero.noZeroDivisors.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2)))))) -> (forall (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (CommSemiring.toSemiring.{u3} B (CommRing.toCommSemiring.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4], Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3))
+Case conversion may be inaccurate. Consider using '#align valuation.extend_to_localization Valuation.extendToLocalizationₓ'. -/
 /-- We can extend a valuation `v` on a ring to a localization at a submonoid of
 the complement of `v.supp`. -/
 noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
@@ -52,6 +58,12 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
       apply mul_le_mul_right' (v.map_add a b) }
 #align valuation.extend_to_localization Valuation.extendToLocalization
 
+/- warning: valuation.extend_to_localization_apply_map_apply -> Valuation.extendToLocalization_apply_map_apply is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_1 : CommRing.{u1} A] {Γ : Type.{u2}} [_inst_2 : LinearOrderedCommGroupWithZero.{u2} Γ] (v : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) {S : Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))} (hS : LE.le.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Preorder.toHasLe.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (PartialOrder.toPreorder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteSemilatticeInf.toPartialOrder.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Submonoid.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))) (Submonoid.completeLattice.{u1} A (MulZeroOneClass.toMulOneClass.{u1} A (NonAssocSemiring.toMulZeroOneClass.{u1} A (NonAssocRing.toNonAssocSemiring.{u1} A (Ring.toNonAssocRing.{u1} A (CommRing.toRing.{u1} A _inst_1)))))))))) S (Ideal.primeCompl.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1) (Valuation.supp.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v) (Valuation.supp.Ideal.isPrime.{u1, u2} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) v (GroupWithZero.to_nontrivial.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2))) (GroupWithZero.noZeroDivisors.{u2} Γ (CommGroupWithZero.toGroupWithZero.{u2} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u2} Γ _inst_2)))))) (B : Type.{u3}) [_inst_3 : CommRing.{u3} B] [_inst_4 : Algebra.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3))] [_inst_5 : IsLocalization.{u1, u3} A (CommRing.toCommSemiring.{u1} A _inst_1) S B (CommRing.toCommSemiring.{u3} B _inst_3) _inst_4] (a : A), Eq.{succ u2} Γ (coeFn.{max (succ u3) (succ u2), max (succ u3) (succ u2)} (Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3)) (fun (_x : Valuation.{u3, u2} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u3} B _inst_3)) => B -> Γ) (Valuation.hasCoeToFun.{u3, u2} B Γ (CommRing.toRing.{u3} B _inst_3) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2)) (Valuation.extendToLocalization.{u1, u2, u3} A _inst_1 Γ _inst_2 v S hS B _inst_3 _inst_4 _inst_5) (coeFn.{max (succ u1) (succ u3), max (succ u1) (succ u3)} (RingHom.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) (fun (_x : RingHom.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) => A -> B) (RingHom.hasCoeToFun.{u1, u3} A B (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_1))) (Semiring.toNonAssocSemiring.{u3} B (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)))) (algebraMap.{u1, u3} A B (CommRing.toCommSemiring.{u1} A _inst_1) (Ring.toSemiring.{u3} B (CommRing.toRing.{u3} B _inst_3)) _inst_4) a)) (coeFn.{max (succ u1) (succ u2), max (succ u1) (succ u2)} (Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) (fun (_x : Valuation.{u1, u2} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2) (CommRing.toRing.{u1} A _inst_1)) => A -> Γ) (Valuation.hasCoeToFun.{u1, u2} A Γ (CommRing.toRing.{u1} A _inst_1) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u2} Γ _inst_2)) v a)
+but is expected to have type
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(MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (OmegaCompletePartialOrder.toPartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (CompleteLattice.instOmegaCompletePartialOrder.{u2} (Submonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))) (Submonoid.instCompleteLatticeSubmonoid.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))))))))) S (Ideal.primeCompl.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1) (Valuation.supp.{u2, u3} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) v) (Valuation.instIsPrimeToSemiringToCommSemiringSupp.{u2, u3} A Γ _inst_1 (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) v (LinearOrderedCommGroupWithZero.toNontrivial.{u3} Γ _inst_2) (GroupWithZero.noZeroDivisors.{u3} Γ (CommGroupWithZero.toGroupWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toCommGroupWithZero.{u3} Γ _inst_2)))))) (B : Type.{u1}) [_inst_3 : CommRing.{u1} B] [_inst_4 : Algebra.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))] [_inst_5 : IsLocalization.{u2, u1} A (CommRing.toCommSemiring.{u2} A _inst_1) S B (CommRing.toCommSemiring.{u1} B _inst_3) _inst_4] (a : A), Eq.{succ u3} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => Γ) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} 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(Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))))) (algebraMap.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)) _inst_4) a)) (FunLike.coe.{max (succ u3) (succ u1), succ u1, succ u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B (fun (_x : B) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : B) => Γ) _x) (MulHomClass.toFunLike.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (MulOneClass.toMul.{u1} B (MulZeroOneClass.toMulOneClass.{u1} B (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3)))))) (MulOneClass.toMul.{u3} Γ (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (MonoidHomClass.toMulHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (MulZeroOneClass.toMulOneClass.{u1} B (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3))))) (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2))))) (MonoidWithZeroHomClass.toMonoidHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (NonAssocSemiring.toMulZeroOneClass.{u1} B (Semiring.toNonAssocSemiring.{u1} B (Ring.toSemiring.{u1} B (CommRing.toRing.{u1} B _inst_3)))) (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))) (ValuationClass.toMonoidWithZeroHomClass.{max u3 u1, u1, u3} (Valuation.{u1, u3} B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3)) B Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u1} B _inst_3) (Valuation.instValuationClassValuation.{u1, u3} B Γ (CommRing.toRing.{u1} B _inst_3) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (Valuation.extendToLocalization.{u2, u3, u1} A _inst_1 Γ _inst_2 v S hS B _inst_3 _inst_4 _inst_5) (FunLike.coe.{max (succ u2) (succ u1), succ u2, succ u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => B) _x) (MulHomClass.toFunLike.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonUnitalNonAssocSemiring.toMul.{u2} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))))) (NonUnitalNonAssocSemiring.toMul.{u1} B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))) (NonUnitalRingHomClass.toMulHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u2} A (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1)))) (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} B (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) (RingHomClass.toNonUnitalRingHomClass.{max u2 u1, u2, u1} (RingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)))) A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))) (RingHom.instRingHomClassRingHom.{u2, u1} A B (Semiring.toNonAssocSemiring.{u2} A (CommSemiring.toSemiring.{u2} A (CommRing.toCommSemiring.{u2} A _inst_1))) (Semiring.toNonAssocSemiring.{u1} B (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3))))))) (algebraMap.{u2, u1} A B (CommRing.toCommSemiring.{u2} A _inst_1) (CommSemiring.toSemiring.{u1} B (CommRing.toCommSemiring.{u1} B _inst_3)) _inst_4) a)) (FunLike.coe.{max (succ u2) (succ u3), succ u2, succ u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A (fun (_x : A) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : A) => Γ) _x) (MulHomClass.toFunLike.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (MulOneClass.toMul.{u2} A (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1)))))) (MulOneClass.toMul.{u3} Γ (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) (MonoidHomClass.toMulHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (MulZeroOneClass.toMulOneClass.{u2} A (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1))))) (MulZeroOneClass.toMulOneClass.{u3} Γ (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2))))) (MonoidWithZeroHomClass.toMonoidHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (NonAssocSemiring.toMulZeroOneClass.{u2} A (Semiring.toNonAssocSemiring.{u2} A (Ring.toSemiring.{u2} A (CommRing.toRing.{u2} A _inst_1)))) (MonoidWithZero.toMulZeroOneClass.{u3} Γ (CommMonoidWithZero.toMonoidWithZero.{u3} Γ (LinearOrderedCommMonoidWithZero.toCommMonoidWithZero.{u3} Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))) (ValuationClass.toMonoidWithZeroHomClass.{max u2 u3, u2, u3} (Valuation.{u2, u3} A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1)) A Γ (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2) (CommRing.toRing.{u2} A _inst_1) (Valuation.instValuationClassValuation.{u2, u3} A Γ (CommRing.toRing.{u2} A _inst_1) (LinearOrderedCommGroupWithZero.toLinearOrderedCommMonoidWithZero.{u3} Γ _inst_2)))))) v a)
+Case conversion may be inaccurate. Consider using '#align valuation.extend_to_localization_apply_map_apply Valuation.extendToLocalization_apply_map_applyₓ'. -/
 @[simp]
 theorem Valuation.extendToLocalization_apply_map_apply (a : A) :
     v.extendToLocalization hS B (algebraMap A B a) = v a :=

64b3576f

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

64b3576f

chore: more backporting of simp changes from #10995 (#11001)

Co-authored-by: Patrick Massot <patrickmassot@free.fr> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

d9589c14

Diff

@@ -29,7 +29,7 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
   let f := IsLocalization.toLocalizationMap S B
   let h : ∀ s : S, IsUnit (v.1.toMonoidHom s) := fun s => isUnit_iff_ne_zero.2 (hS s.2)
   { f.lift h with
-    map_zero' := by convert f.lift_eq (P := Γ) _ 0 <;> simp
+    map_zero' := by convert f.lift_eq (P := Γ) _ 0 <;> simp [f]
     map_add_le_max' := fun x y => by
       obtain ⟨a, b, s, rfl, rfl⟩ : ∃ (a b : A) (s : S), f.mk' a s = x ∧ f.mk' b s = y := by
         obtain ⟨a, s, rfl⟩ := f.mk'_surjective x

64b3576f

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

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

This has nice performance benefits.

32de3f67

Diff

@@ -19,8 +19,8 @@ extended to the localization `S⁻¹A`.
 -/
 
 
-variable {A : Type _} [CommRing A] {Γ : Type _} [LinearOrderedCommGroupWithZero Γ]
-  (v : Valuation A Γ) {S : Submonoid A} (hS : S ≤ v.supp.primeCompl) (B : Type _) [CommRing B]
+variable {A : Type*} [CommRing A] {Γ : Type*} [LinearOrderedCommGroupWithZero Γ]
+  (v : Valuation A Γ) {S : Submonoid A} (hS : S ≤ v.supp.primeCompl) (B : Type*) [CommRing B]
   [Algebra A B] [IsLocalization S B]
 
 /-- We can extend a valuation `v` on a ring to a localization at a submonoid of

64b3576f

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

depends on: #5966

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

89aa3a3b

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2022 Adam Topaz. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Adam Topaz
-
-! This file was ported from Lean 3 source module ring_theory.valuation.extend_to_localization
-! leanprover-community/mathlib commit 64b3576ff5bbac1387223e93988368644fcbcd7e
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.RingTheory.Localization.AtPrime
 import Mathlib.RingTheory.Valuation.Basic
 
+#align_import ring_theory.valuation.extend_to_localization from "leanprover-community/mathlib"@"64b3576ff5bbac1387223e93988368644fcbcd7e"
+
 /-!
 
 # Extending valuations to a localization

64b3576f

chore: formatting issues (#4947)

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

5068808d

Diff

@@ -34,7 +34,7 @@ noncomputable def Valuation.extendToLocalization : Valuation B Γ :=
   { f.lift h with
     map_zero' := by convert f.lift_eq (P := Γ) _ 0 <;> simp
     map_add_le_max' := fun x y => by
-      obtain ⟨a, b, s, rfl, rfl⟩ : ∃ (a b : A)(s : S), f.mk' a s = x ∧ f.mk' b s = y := by
+      obtain ⟨a, b, s, rfl, rfl⟩ : ∃ (a b : A) (s : S), f.mk' a s = x ∧ f.mk' b s = y := by
         obtain ⟨a, s, rfl⟩ := f.mk'_surjective x
         obtain ⟨b, t, rfl⟩ := f.mk'_surjective y
         use a * t, b * s, s * t

64b3576f

feat: port RingTheory.Valuation.ExtendToLocalization (#4130)

fad183b6

`ring_theory.valuation.extend_to_localization` ⟷ `Mathlib.RingTheory.Valuation.ExtendToLocalization`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 545

ring_theory.valuation.extend_to_localization ⟷ Mathlib.RingTheory.Valuation.ExtendToLocalization

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 8 + 545

`ring_theory.valuation.extend_to_localization` ⟷ `Mathlib.RingTheory.Valuation.ExtendToLocalization`