algebraic_geometry.prime_spectrum.maximal

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

052f6013

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

0b7c740e

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 David Kurniadi Angdinata. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Kurniadi Angdinata
 -/
-import Mathbin.AlgebraicGeometry.PrimeSpectrum.Basic
-import Mathbin.RingTheory.Localization.AsSubring
+import AlgebraicGeometry.PrimeSpectrum.Basic
+import RingTheory.Localization.AsSubring
 
 #align_import algebraic_geometry.prime_spectrum.maximal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"

0b7c740e

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 David Kurniadi Angdinata. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Kurniadi Angdinata
-
-! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.maximal
-! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.AlgebraicGeometry.PrimeSpectrum.Basic
 import Mathbin.RingTheory.Localization.AsSubring
 
+#align_import algebraic_geometry.prime_spectrum.maximal from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 # Maximal spectrum of a commutative ring

0b7c740e

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -106,6 +106,7 @@ theorem toPrimeSpectrum_continuous : Continuous <| @toPrimeSpectrum R _ :=
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
+#print MaximalSpectrum.iInf_localization_eq_bot /-
 /-- An integral domain is equal to the intersection of its localizations at all its maximal ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :
@@ -140,6 +141,7 @@ theorem iInf_localization_eq_bot :
   · rintro ⟨y, rfl⟩ ⟨v, hv⟩
     exact ⟨y, 1, v.ne_top_iff_one.mp hv.ne_top, by rw [map_one, inv_one, mul_one]⟩
 #align maximal_spectrum.infi_localization_eq_bot MaximalSpectrum.iInf_localization_eq_bot
+-/
 
 end MaximalSpectrum
 
@@ -147,6 +149,7 @@ namespace PrimeSpectrum
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
+#print PrimeSpectrum.iInf_localization_eq_bot /-
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :
@@ -163,6 +166,7 @@ theorem iInf_localization_eq_bot :
     rintro ⟨y, rfl⟩ ⟨v, hv⟩
     exact ⟨y, 1, v.ne_top_iff_one.mp hv.ne_top, by rw [map_one, inv_one, mul_one]⟩
 #align prime_spectrum.infi_localization_eq_bot PrimeSpectrum.iInf_localization_eq_bot
+-/
 
 end PrimeSpectrum

0b7c740e

bump to nightly-2023-06-04-18

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

3fb4268b

Diff

@@ -76,7 +76,7 @@ open PrimeSpectrum Set
 
 #print MaximalSpectrum.toPrimeSpectrum_range /-
 theorem toPrimeSpectrum_range :
-    Set.range (@toPrimeSpectrum R _) = { x | IsClosed ({x} : Set <| PrimeSpectrum R) } :=
+    Set.range (@toPrimeSpectrum R _) = {x | IsClosed ({x} : Set <| PrimeSpectrum R)} :=
   by
   simp only [is_closed_singleton_iff_is_maximal]
   ext ⟨x, _⟩

0b7c740e

bump to nightly-2023-05-28-18

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

8d353152

Diff

@@ -34,7 +34,7 @@ natural inclusion into the prime spectrum to avoid API duplication for zero loci
 
 noncomputable section
 
-open Classical
+open scoped Classical
 
 universe u v

0b7c740e

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -106,12 +106,6 @@ theorem toPrimeSpectrum_continuous : Continuous <| @toPrimeSpectrum R _ :=
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
-/- warning: maximal_spectrum.infi_localization_eq_bot -> MaximalSpectrum.iInf_localization_eq_bot is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toHasInf.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4))) (MaximalSpectrum.{u1} R _inst_1) (fun (v : MaximalSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.isMaximal.{u1} R _inst_1 v))) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.isMaximal.{u1} R _inst_1 v)) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4)))
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toInfSet.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4))) (MaximalSpectrum.{u1} R _inst_1) (fun (v : MaximalSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.IsMaximal.{u1} R _inst_1 v))) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.IsMaximal.{u1} R _inst_1 v)) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4)))
-Case conversion may be inaccurate. Consider using '#align maximal_spectrum.infi_localization_eq_bot MaximalSpectrum.iInf_localization_eq_botₓ'. -/
 /-- An integral domain is equal to the intersection of its localizations at all its maximal ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :
@@ -153,12 +147,6 @@ namespace PrimeSpectrum
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
-/- warning: prime_spectrum.infi_localization_eq_bot -> PrimeSpectrum.iInf_localization_eq_bot is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toHasInf.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4))) (PrimeSpectrum.{u1} R _inst_1) (fun (v : PrimeSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.isPrime.{u1} R _inst_1 v)) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.isPrime.{u1} R _inst_1 v) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4)))
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toInfSet.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4))) (PrimeSpectrum.{u1} R _inst_1) (fun (v : PrimeSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.IsPrime.{u1} R _inst_1 v)) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.IsPrime.{u1} R _inst_1 v) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4)))
-Case conversion may be inaccurate. Consider using '#align prime_spectrum.infi_localization_eq_bot PrimeSpectrum.iInf_localization_eq_botₓ'. -/
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :

0b7c740e

bump to nightly-2023-05-28-03

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

6c6011cf

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Kurniadi Angdinata
 
 ! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.maximal
-! leanprover-community/mathlib commit 052f6013363326d50cb99c6939814a4b8eb7b301
+! leanprover-community/mathlib commit 0b7c740e25651db0ba63648fbae9f9d6f941e31b
 ! 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.AsSubring
 /-!
 # Maximal spectrum of a commutative ring
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 The maximal spectrum of a commutative ring is the type of all maximal ideals.
 It is naturally a subset of the prime spectrum endowed with the subspace topology.

052f6013

bump to nightly-2023-05-25-12

mathlib commit https://github.com/leanprover-community/mathlib/commit/ef95945cd48c932c9e034872bd25c3c220d9c946

f690cc6d

Diff

@@ -37,12 +37,14 @@ universe u v
 
 variable (R : Type u) [CommRing R]
 
+#print MaximalSpectrum /-
 /-- The maximal spectrum of a commutative ring `R` is the type of all maximal ideals of `R`. -/
 @[ext]
 structure MaximalSpectrum where
   asIdeal : Ideal R
   IsMaximal : as_ideal.IsMaximal
 #align maximal_spectrum MaximalSpectrum
+-/
 
 attribute [instance] MaximalSpectrum.isMaximal
 
@@ -54,17 +56,22 @@ instance [Nontrivial R] : Nonempty <| MaximalSpectrum R :=
   let ⟨I, hI⟩ := Ideal.exists_maximal R
   ⟨⟨I, hI⟩⟩
 
+#print MaximalSpectrum.toPrimeSpectrum /-
 /-- The natural inclusion from the maximal spectrum to the prime spectrum. -/
 def toPrimeSpectrum (x : MaximalSpectrum R) : PrimeSpectrum R :=
   ⟨x.asIdeal, x.IsMaximal.IsPrime⟩
 #align maximal_spectrum.to_prime_spectrum MaximalSpectrum.toPrimeSpectrum
+-/
 
+#print MaximalSpectrum.toPrimeSpectrum_injective /-
 theorem toPrimeSpectrum_injective : (@toPrimeSpectrum R _).Injective := fun ⟨_, _⟩ ⟨_, _⟩ h => by
   simpa only [mk.inj_eq] using (PrimeSpectrum.ext_iff _ _).mp h
 #align maximal_spectrum.to_prime_spectrum_injective MaximalSpectrum.toPrimeSpectrum_injective
+-/
 
 open PrimeSpectrum Set
 
+#print MaximalSpectrum.toPrimeSpectrum_range /-
 theorem toPrimeSpectrum_range :
     Set.range (@toPrimeSpectrum R _) = { x | IsClosed ({x} : Set <| PrimeSpectrum R) } :=
   by
@@ -72,12 +79,15 @@ theorem toPrimeSpectrum_range :
   ext ⟨x, _⟩
   exact ⟨fun ⟨y, hy⟩ => hy ▸ y.IsMaximal, fun hx => ⟨⟨x, hx⟩, rfl⟩⟩
 #align maximal_spectrum.to_prime_spectrum_range MaximalSpectrum.toPrimeSpectrum_range
+-/
 
+#print MaximalSpectrum.zariskiTopology /-
 /-- The Zariski topology on the maximal spectrum of a commutative ring is defined as the subspace
 topology induced by the natural inclusion into the prime spectrum. -/
 instance zariskiTopology : TopologicalSpace <| MaximalSpectrum R :=
   PrimeSpectrum.zariskiTopology.induced toPrimeSpectrum
 #align maximal_spectrum.zariski_topology MaximalSpectrum.zariskiTopology
+-/
 
 instance : T1Space <| MaximalSpectrum R :=
   ⟨fun x =>
@@ -85,12 +95,20 @@ instance : T1Space <| MaximalSpectrum R :=
       ⟨{toPrimeSpectrum x}, (isClosed_singleton_iff_isMaximal _).mpr x.IsMaximal, by
         simpa only [← image_singleton] using preimage_image_eq {x} to_prime_spectrum_injective⟩⟩
 
+#print MaximalSpectrum.toPrimeSpectrum_continuous /-
 theorem toPrimeSpectrum_continuous : Continuous <| @toPrimeSpectrum R _ :=
   continuous_induced_dom
 #align maximal_spectrum.to_prime_spectrum_continuous MaximalSpectrum.toPrimeSpectrum_continuous
+-/
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
+/- warning: maximal_spectrum.infi_localization_eq_bot -> MaximalSpectrum.iInf_localization_eq_bot is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toHasInf.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4))) (MaximalSpectrum.{u1} R _inst_1) (fun (v : MaximalSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.isMaximal.{u1} R _inst_1 v))) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.isMaximal.{u1} R _inst_1 v)) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4)))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toInfSet.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4))) (MaximalSpectrum.{u1} R _inst_1) (fun (v : MaximalSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.IsMaximal.{u1} R _inst_1 v))) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (Ideal.IsMaximal.isPrime'.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (MaximalSpectrum.asIdeal.{u1} R _inst_1 v) (MaximalSpectrum.IsMaximal.{u1} R _inst_1 v)) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4)))
+Case conversion may be inaccurate. Consider using '#align maximal_spectrum.infi_localization_eq_bot MaximalSpectrum.iInf_localization_eq_botₓ'. -/
 /-- An integral domain is equal to the intersection of its localizations at all its maximal ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :
@@ -132,6 +150,12 @@ namespace PrimeSpectrum
 
 variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
+/- warning: prime_spectrum.infi_localization_eq_bot -> PrimeSpectrum.iInf_localization_eq_bot is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toHasInf.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4))) (PrimeSpectrum.{u1} R _inst_1) (fun (v : PrimeSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.isPrime.{u1} R _inst_1 v)) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.isPrime.{u1} R _inst_1 v) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (CompleteLattice.toHasBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4) (Algebra.Subalgebra.completeLattice.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (Ring.toSemiring.{u2} K (DivisionRing.toRing.{u2} K (Field.toDivisionRing.{u2} K _inst_3))) _inst_4)))
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsDomain.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (K : Type.{u2}) [_inst_3 : Field.{u2} K] [_inst_4 : Algebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3)))] [_inst_5 : IsFractionRing.{u1, u2} R _inst_1 K (EuclideanDomain.toCommRing.{u2} K (Field.toEuclideanDomain.{u2} K _inst_3)) _inst_4], Eq.{succ u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (iInf.{u2, succ u1} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (ConditionallyCompleteLattice.toInfSet.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toConditionallyCompleteLattice.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4))) (PrimeSpectrum.{u1} R _inst_1) (fun (v : PrimeSpectrum.{u1} R _inst_1) => Localization.subalgebra.ofField.{u1, u2} R K _inst_1 (Ideal.primeCompl.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.IsPrime.{u1} R _inst_1 v)) (Ideal.primeCompl_le_nonZeroDivisors.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1) (PrimeSpectrum.asIdeal.{u1} R _inst_1 v) (PrimeSpectrum.IsPrime.{u1} R _inst_1 v) (IsDomain.to_noZeroDivisors.{u1} R (CommRing.toRing.{u1} R _inst_1) _inst_2)) _inst_3 _inst_4 _inst_5)) (Bot.bot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (CompleteLattice.toBot.{u2} (Subalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4) (Algebra.instCompleteLatticeSubalgebra.{u1, u2} R K (CommRing.toCommSemiring.{u1} R _inst_1) (DivisionSemiring.toSemiring.{u2} K (Semifield.toDivisionSemiring.{u2} K (Field.toSemifield.{u2} K _inst_3))) _inst_4)))
+Case conversion may be inaccurate. Consider using '#align prime_spectrum.infi_localization_eq_bot PrimeSpectrum.iInf_localization_eq_botₓ'. -/
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals
 viewed as subalgebras of its field of fractions. -/
 theorem iInf_localization_eq_bot :

052f6013

bump to nightly-2023-05-14-08

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

d31da313

Diff

@@ -93,13 +93,13 @@ variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R
 
 /-- An integral domain is equal to the intersection of its localizations at all its maximal ideals
 viewed as subalgebras of its field of fractions. -/
-theorem infᵢ_localization_eq_bot :
+theorem iInf_localization_eq_bot :
     (⨅ v : MaximalSpectrum R,
         Localization.subalgebra.ofField K _ v.asIdeal.primeCompl_le_nonZeroDivisors) =
       ⊥ :=
   by
   ext x
-  rw [Algebra.mem_bot, Algebra.mem_infᵢ]
+  rw [Algebra.mem_bot, Algebra.mem_iInf]
   constructor
   · apply imp_of_not_imp_not
     intro hrange hlocal
@@ -124,7 +124,7 @@ theorem infᵢ_localization_eq_bot :
                 (h ▸ hd) max.zero_mem]⟩
   · rintro ⟨y, rfl⟩ ⟨v, hv⟩
     exact ⟨y, 1, v.ne_top_iff_one.mp hv.ne_top, by rw [map_one, inv_one, mul_one]⟩
-#align maximal_spectrum.infi_localization_eq_bot MaximalSpectrum.infᵢ_localization_eq_bot
+#align maximal_spectrum.infi_localization_eq_bot MaximalSpectrum.iInf_localization_eq_bot
 
 end MaximalSpectrum
 
@@ -134,20 +134,20 @@ variable (R) [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R
 
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals
 viewed as subalgebras of its field of fractions. -/
-theorem infᵢ_localization_eq_bot :
+theorem iInf_localization_eq_bot :
     (⨅ v : PrimeSpectrum R,
         Localization.subalgebra.ofField K _ <| v.asIdeal.primeCompl_le_nonZeroDivisors) =
       ⊥ :=
   by
   ext x
-  rw [Algebra.mem_infᵢ]
+  rw [Algebra.mem_iInf]
   constructor
-  · rw [← MaximalSpectrum.infᵢ_localization_eq_bot, Algebra.mem_infᵢ]
+  · rw [← MaximalSpectrum.iInf_localization_eq_bot, Algebra.mem_iInf]
     exact fun hx ⟨v, hv⟩ => hx ⟨v, hv.IsPrime⟩
   · rw [Algebra.mem_bot]
     rintro ⟨y, rfl⟩ ⟨v, hv⟩
     exact ⟨y, 1, v.ne_top_iff_one.mp hv.ne_top, by rw [map_one, inv_one, mul_one]⟩
-#align prime_spectrum.infi_localization_eq_bot PrimeSpectrum.infᵢ_localization_eq_bot
+#align prime_spectrum.infi_localization_eq_bot PrimeSpectrum.iInf_localization_eq_bot
 
 end PrimeSpectrum

052f6013

bump to nightly-2023-02-21-16

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

1107b979

Changes in mathlib4

mathlib3

mathlib4

052f6013

chore(*): remove empty lines between variable statements (#11418)

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)

75c86f04

Diff

@@ -85,7 +85,6 @@ theorem toPrimeSpectrum_continuous : Continuous <| @toPrimeSpectrum R _ :=
 #align maximal_spectrum.to_prime_spectrum_continuous MaximalSpectrum.toPrimeSpectrum_continuous
 
 variable (R)
-
 variable [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
 /-- An integral domain is equal to the intersection of its localizations at all its maximal ideals
@@ -123,7 +122,6 @@ end MaximalSpectrum
 namespace PrimeSpectrum
 
 variable (R)
-
 variable [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals

052f6013

chore: scope open Classical (#11199)

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.

c747be0a

Diff

@@ -28,7 +28,7 @@ natural inclusion into the prime spectrum to avoid API duplication for zero loci
 
 noncomputable section
 
-open Classical
+open scoped Classical
 
 universe u v

052f6013

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 David Kurniadi Angdinata. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: David Kurniadi Angdinata
-
-! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.maximal
-! leanprover-community/mathlib commit 052f6013363326d50cb99c6939814a4b8eb7b301
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.AlgebraicGeometry.PrimeSpectrum.Basic
 import Mathlib.RingTheory.Localization.AsSubring
 
+#align_import algebraic_geometry.prime_spectrum.maximal from "leanprover-community/mathlib"@"052f6013363326d50cb99c6939814a4b8eb7b301"
+
 /-!
 # Maximal spectrum of a commutative ring

052f6013

fix: precedences of ⨆⋃⋂⨅ (#5614)

e3c8f983

Diff

@@ -131,8 +131,8 @@ variable [IsDomain R] (K : Type v) [Field K] [Algebra R K] [IsFractionRing R K]
 
 /-- An integral domain is equal to the intersection of its localizations at all its prime ideals
 viewed as subalgebras of its field of fractions. -/
-theorem iInf_localization_eq_bot : (⨅ v : PrimeSpectrum R,
-    Localization.subalgebra.ofField K _ <| v.asIdeal.primeCompl_le_nonZeroDivisors) = ⊥ := by
+theorem iInf_localization_eq_bot : ⨅ v : PrimeSpectrum R,
+    Localization.subalgebra.ofField K _ (v.asIdeal.primeCompl_le_nonZeroDivisors) = ⊥ := by
   ext x
   rw [Algebra.mem_iInf]
   constructor

052f6013

feat: port AlgebraicGeometry.PrimeSpectrum.Maximal (#4323)

6994f45f

`algebraic_geometry.prime_spectrum.maximal` ⟷ `Mathlib.AlgebraicGeometry.PrimeSpectrum.Maximal`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 678

algebraic_geometry.prime_spectrum.maximal ⟷ Mathlib.AlgebraicGeometry.PrimeSpectrum.Maximal

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 678

`algebraic_geometry.prime_spectrum.maximal` ⟷ `Mathlib.AlgebraicGeometry.PrimeSpectrum.Maximal`