algebraic_geometry.prime_spectrum.noetherian

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-2024-04-06-08

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

e34029c9

Diff

@@ -26,7 +26,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le /-
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
@@ -61,7 +61,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:642:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain /-
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as

0b7c740e

bump to nightly-2024-03-17-08

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

22f01ce4

Diff

@@ -113,7 +113,7 @@ instance : NoetherianSpace (PrimeSpectrum R) :=
   by
   rw [(noetherian_space_tfae <| PrimeSpectrum R).out 0 1]
   have H := ‹IsNoetherianRing R›
-  rw [isNoetherianRing_iff, isNoetherian_iff_wellFounded] at H 
+  rw [isNoetherianRing_iff, isNoetherian_iff_wellFounded] at H
   exact (closeds_embedding R).dual.WellFounded H
 
 end PrimeSpectrum

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) 2020 Filippo A. E. Nuccio. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Filippo A. E. Nuccio, Andrew Yang
 -/
-import Mathbin.AlgebraicGeometry.PrimeSpectrum.Basic
-import Mathbin.Topology.NoetherianSpace
+import AlgebraicGeometry.PrimeSpectrum.Basic
+import Topology.NoetherianSpace
 
 #align_import algebraic_geometry.prime_spectrum.noetherian from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
 
@@ -26,7 +26,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le /-
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
@@ -61,7 +61,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:641:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain /-
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as

0b7c740e

bump to nightly-2023-08-02-01

mathlib commit https://github.com/leanprover-community/mathlib/commit/63721b2c3eba6c325ecf8ae8cca27155a4f6306f

7aca3f15

Diff

@@ -35,7 +35,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   by
   refine' IsNoetherian.induction (fun (M : Ideal R) hgt => _) I
   by_cases h_prM : M.is_prime
-  · use {⟨M, h_prM⟩}
+  · use{⟨M, h_prM⟩}
     rw [Multiset.map_singleton, Multiset.prod_singleton]
     exact le_rfl
   by_cases htop : M = ⊤
@@ -80,10 +80,10 @@ theorem exists_primeSpectrum_prod_le_and_ne_bot_of_domain (h_fA : ¬IsField A) {
   · rcases h_topM with rfl
     obtain ⟨p_id, h_nzp, h_pp⟩ : ∃ p : Ideal A, p ≠ ⊥ ∧ p.IsPrime := by
       apply ring.not_is_field_iff_exists_prime.mp h_fA
-    use ({⟨p_id, h_pp⟩} : Multiset (PrimeSpectrum A)), le_top
+    use({⟨p_id, h_pp⟩} : Multiset (PrimeSpectrum A)), le_top
     rwa [Multiset.map_singleton, Multiset.prod_singleton]
   by_cases h_prM : M.is_prime
-  · use ({⟨M, h_prM⟩} : Multiset (PrimeSpectrum A))
+  · use({⟨M, h_prM⟩} : Multiset (PrimeSpectrum A))
     rw [Multiset.map_singleton, Multiset.prod_singleton]
     exact ⟨le_rfl, h_nzM⟩
   obtain ⟨x, hx, y, hy, h_xy⟩ := (ideal.not_is_prime_iff.mp h_prM).resolve_left h_topM

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) 2020 Filippo A. E. Nuccio. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Filippo A. E. Nuccio, Andrew Yang
-
-! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.noetherian
-! 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.Topology.NoetherianSpace
 
+#align_import algebraic_geometry.prime_spectrum.noetherian from "leanprover-community/mathlib"@"0b7c740e25651db0ba63648fbae9f9d6f941e31b"
+
 /-!
 > THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
 > Any changes to this file require a corresponding PR to mathlib4.
@@ -29,7 +26,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le /-
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
@@ -64,7 +61,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 -/
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 #print PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain /-
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as

0b7c740e

bump to nightly-2023-06-13-21

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

829520ac

Diff

@@ -30,6 +30,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
+#print PrimeSpectrum.exists_primeSpectrum_prod_le /-
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
 theorem exists_primeSpectrum_prod_le (I : Ideal R) :
@@ -61,8 +62,10 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   apply sup_le (show span R {x} * M ≤ M from Ideal.mul_le_left)
   rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
+-/
 
 /- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
+#print PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain /-
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as
   product or prime ideals ([samuel, § 3.3, Lemma 3]) -/
@@ -105,6 +108,7 @@ theorem exists_primeSpectrum_prod_le_and_ne_bot_of_domain (h_fA : ¬IsField A) {
     rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
   · rintro (hx | hy) <;> contradiction
 #align prime_spectrum.exists_prime_spectrum_prod_le_and_ne_bot_of_domain PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain
+-/
 
 open TopologicalSpace

0b7c740e

bump to nightly-2023-06-08-23

mathlib commit https://github.com/leanprover-community/mathlib/commit/31c24aa72e7b3e5ed97a8412470e904f82b81004

d3cfe2e3

Diff

@@ -29,7 +29,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
 theorem exists_primeSpectrum_prod_le (I : Ideal R) :
@@ -62,7 +62,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:638:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as
   product or prime ideals ([samuel, § 3.3, Lemma 3]) -/

0b7c740e

bump to nightly-2023-06-01-16

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

b9c87c70

Diff

@@ -112,7 +112,7 @@ instance : NoetherianSpace (PrimeSpectrum R) :=
   by
   rw [(noetherian_space_tfae <| PrimeSpectrum R).out 0 1]
   have H := ‹IsNoetherianRing R›
-  rw [isNoetherianRing_iff, isNoetherian_iff_wellFounded] at H
+  rw [isNoetherianRing_iff, isNoetherian_iff_wellFounded] at H 
   exact (closeds_embedding R).dual.WellFounded H
 
 end PrimeSpectrum

0b7c740e

bump to nightly-2023-05-28-06

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

ba5d8b97

Diff

@@ -29,12 +29,6 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- warning: prime_spectrum.exists_prime_spectrum_prod_le -> PrimeSpectrum.exists_primeSpectrum_prod_le is a dubious translation:
-lean 3 declaration is
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsNoetherianRing.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (I : Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))), Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) => LE.le.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Preorder.toHasLe.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (SetLike.partialOrder.{u1, u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) R (Submodule.setLike.{u1, u1} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (Multiset.prod.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Ideal.idemCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} R _inst_1) (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (PrimeSpectrum.asIdeal.{u1} R _inst_1) Z)) I)
-but is expected to have type
-  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsNoetherianRing.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (I : Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))), Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) => LE.le.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Preorder.toLE.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Submodule.completeLattice.{u1, u1} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (Multiset.prod.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} R _inst_1) (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (PrimeSpectrum.asIdeal.{u1} R _inst_1) Z)) I)
-Case conversion may be inaccurate. Consider using '#align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_leₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
@@ -68,12 +62,6 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 
-/- warning: prime_spectrum.exists_prime_spectrum_prod_le_and_ne_bot_of_domain -> PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain is a dubious translation:
-lean 3 declaration is
-  forall {A : Type.{u1}} [_inst_3 : CommRing.{u1} A] [_inst_4 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))] [_inst_5 : IsNoetherianRing.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))], (Not (IsField.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))) -> (forall {I : Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))}, (Ne.{succ u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) I (Bot.bot.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Submodule.hasBot.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))))) -> (Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) => And (LE.le.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Preorder.toHasLe.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (SetLike.partialOrder.{u1, u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) A (Submodule.setLike.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))))) (Multiset.prod.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Ideal.idemCommSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) I) (Ne.{succ u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Multiset.prod.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Ideal.idemCommSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) (Bot.bot.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Submodule.hasBot.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))))))))
-but is expected to have type
-  forall {A : Type.{u1}} [_inst_3 : CommRing.{u1} A] [_inst_4 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))] [_inst_5 : IsNoetherianRing.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))], (Not (IsField.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) -> (forall {I : Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))}, (Ne.{succ u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) I (Bot.bot.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.instBotSubmodule.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))) -> (Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) => And (LE.le.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Preorder.toLE.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.completeLattice.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))))) (Multiset.prod.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) I) (Ne.{succ u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Multiset.prod.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) (Bot.bot.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.instBotSubmodule.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))))))
-Case conversion may be inaccurate. Consider using '#align prime_spectrum.exists_prime_spectrum_prod_le_and_ne_bot_of_domain PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domainₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as

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: Filippo A. E. Nuccio, Andrew Yang
 
 ! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.noetherian
-! 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.
 -/
@@ -12,6 +12,9 @@ import Mathbin.AlgebraicGeometry.PrimeSpectrum.Basic
 import Mathbin.Topology.NoetherianSpace
 
 /-!
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file proves additional properties of the prime spectrum a ring is Noetherian.
 -/

052f6013

bump to nightly-2023-05-26-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/e1a18cad9cd462973d760af7de36b05776b8811c

4d5619cc

Diff

@@ -26,6 +26,12 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
+/- warning: prime_spectrum.exists_prime_spectrum_prod_le -> PrimeSpectrum.exists_primeSpectrum_prod_le is a dubious translation:
+lean 3 declaration is
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsNoetherianRing.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))] (I : Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))), Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) => LE.le.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Preorder.toHasLe.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (SetLike.partialOrder.{u1, u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) R (Submodule.setLike.{u1, u1} R R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))))))) (Multiset.prod.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (Ideal.idemCommSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} R _inst_1) (Ideal.{u1} R (Ring.toSemiring.{u1} R (CommRing.toRing.{u1} R _inst_1))) (PrimeSpectrum.asIdeal.{u1} R _inst_1) Z)) I)
+but is expected to have type
+  forall (R : Type.{u1}) [_inst_1 : CommRing.{u1} R] [_inst_2 : IsNoetherianRing.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))] (I : Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))), Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} R _inst_1)) => LE.le.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Preorder.toLE.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Submodule.completeLattice.{u1, u1} R R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} R (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} R (Semiring.toNonAssocSemiring.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))))) (Semiring.toModule.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))))))) (Multiset.prod.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} R _inst_1) (Ideal.{u1} R (CommSemiring.toSemiring.{u1} R (CommRing.toCommSemiring.{u1} R _inst_1))) (PrimeSpectrum.asIdeal.{u1} R _inst_1) Z)) I)
+Case conversion may be inaccurate. Consider using '#align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_leₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
@@ -59,6 +65,12 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 
+/- warning: prime_spectrum.exists_prime_spectrum_prod_le_and_ne_bot_of_domain -> PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domain is a dubious translation:
+lean 3 declaration is
+  forall {A : Type.{u1}} [_inst_3 : CommRing.{u1} A] [_inst_4 : IsDomain.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))] [_inst_5 : IsNoetherianRing.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))], (Not (IsField.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))) -> (forall {I : Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))}, (Ne.{succ u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) I (Bot.bot.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Submodule.hasBot.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))))) -> (Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) => And (LE.le.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Preorder.toHasLe.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (SetLike.partialOrder.{u1, u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) A (Submodule.setLike.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))))) (Multiset.prod.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Ideal.idemCommSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) I) (Ne.{succ u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Multiset.prod.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Ideal.idemCommSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) (Bot.bot.{u1} (Ideal.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))) (Submodule.hasBot.{u1, u1} A A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (Ring.toSemiring.{u1} A (CommRing.toRing.{u1} A _inst_3)))))))))
+but is expected to have type
+  forall {A : Type.{u1}} [_inst_3 : CommRing.{u1} A] [_inst_4 : IsDomain.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))] [_inst_5 : IsNoetherianRing.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))], (Not (IsField.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) -> (forall {I : Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))}, (Ne.{succ u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) I (Bot.bot.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.instBotSubmodule.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))) -> (Exists.{succ u1} (Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) (fun (Z : Multiset.{u1} (PrimeSpectrum.{u1} A _inst_3)) => And (LE.le.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Preorder.toLE.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PartialOrder.toPreorder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (OmegaCompletePartialOrder.toPartialOrder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CompleteLattice.instOmegaCompletePartialOrder.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.completeLattice.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))))) (Multiset.prod.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) I) (Ne.{succ u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Multiset.prod.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (CommSemiring.toCommMonoid.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (IdemCommSemiring.toCommSemiring.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Ideal.instIdemCommSemiringIdealToSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))) (Multiset.map.{u1, u1} (PrimeSpectrum.{u1} A _inst_3) (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (PrimeSpectrum.asIdeal.{u1} A _inst_3) Z)) (Bot.bot.{u1} (Ideal.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))) (Submodule.instBotSubmodule.{u1, u1} A A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)) (NonUnitalNonAssocSemiring.toAddCommMonoid.{u1} A (NonAssocSemiring.toNonUnitalNonAssocSemiring.{u1} A (Semiring.toNonAssocSemiring.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3))))) (Semiring.toModule.{u1} A (CommSemiring.toSemiring.{u1} A (CommRing.toCommSemiring.{u1} A _inst_3)))))))))
+Case conversion may be inaccurate. Consider using '#align prime_spectrum.exists_prime_spectrum_prod_le_and_ne_bot_of_domain PrimeSpectrum.exists_primeSpectrum_prod_le_and_ne_bot_of_domainₓ'. -/
 /- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as

052f6013

bump to nightly-2023-03-01-20

mathlib commit https://github.com/leanprover-community/mathlib/commit/4c586d291f189eecb9d00581aeb3dd998ac34442

20cadee0

Diff

@@ -26,7 +26,7 @@ variable (R : Type u) [CommRing R] [IsNoetherianRing R]
 
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian ring, every ideal contains a product of prime ideals
 ([samuel, § 3.3, Lemma 3])-/
 theorem exists_primeSpectrum_prod_le (I : Ideal R) :
@@ -59,7 +59,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   rwa [span_mul_span, Set.singleton_mul_singleton, span_singleton_le_iff_mem]
 #align prime_spectrum.exists_prime_spectrum_prod_le PrimeSpectrum.exists_primeSpectrum_prod_le
 
-/- ./././Mathport/Syntax/Translate/Basic.lean:628:2: warning: expanding binder collection (z «expr ∉ » M) -/
+/- ./././Mathport/Syntax/Translate/Basic.lean:635:2: warning: expanding binder collection (z «expr ∉ » M) -/
 /-- In a noetherian integral domain which is not a field, every non-zero ideal contains a non-zero
   product of prime ideals; in a field, the whole ring is a non-zero ideal containing only 0 as
   product or prime ideals ([samuel, § 3.3, Lemma 3]) -/

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

@@ -20,7 +20,6 @@ namespace PrimeSpectrum
 open Submodule
 
 variable (R : Type u) [CommRing R] [IsNoetherianRing R]
-
 variable {A : Type u} [CommRing A] [IsDomain A] [IsNoetherianRing A]
 
 /-- In a noetherian ring, every ideal contains a product of prime ideals

052f6013

chore: remove stream-of-consciousness uses of have, replace and suffices (#10640)

No changes to tactic file, it's just boring fixes throughout the library.

This follows on from #6964.

Co-authored-by: sgouezel <sebastien.gouezel@univ-rennes1.fr> Co-authored-by: Eric Wieser <wieser.eric@gmail.com>

a13e8040

Diff

@@ -68,8 +68,7 @@ theorem exists_primeSpectrum_prod_le_and_ne_bot_of_domain (h_fA : ¬IsField A) {
       Multiset.prod (Z.map asIdeal) ≤ I ∧ Multiset.prod (Z.map asIdeal) ≠ ⊥)
     (fun (M : Ideal A) hgt => _) I
   intro h_nzM
-  have hA_nont : Nontrivial A
-  apply IsDomain.toNontrivial
+  have hA_nont : Nontrivial A := IsDomain.toNontrivial
   by_cases h_topM : M = ⊤
   · rcases h_topM with rfl
     obtain ⟨p_id, h_nzp, h_pp⟩ : ∃ p : Ideal A, p ≠ ⊥ ∧ p.IsPrime := by

052f6013

feat(AlgebraicGeometry/PrimeSpectrum/*) : the collection of minimal prime ideals of a Noetherian ring is finite (#9088)

Co-PR : #9087 (maximal ideals of Artinian ring are finite)

Co-authored-by: Andrew Yang <the.erd.one@gmail.com> Co-authored-by: Junyan Xu <junyanxumath@gmail.com>

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

f3a26801

Diff

@@ -107,4 +107,9 @@ instance : NoetherianSpace (PrimeSpectrum R) := by
   rw [isNoetherianRing_iff, isNoetherian_iff_wellFounded] at H
   exact (closedsEmbedding R).dual.wellFounded H
 
+lemma _root_.minimalPrimes.finite_of_isNoetherianRing : (minimalPrimes R).Finite :=
+  minimalPrimes.equivIrreducibleComponents R
+    |>.set_finite_iff
+    |>.mpr NoetherianSpace.finite_irreducibleComponents
+
 end PrimeSpectrum

052f6013

chore(*): use ∃ x ∈ s, _ instead of ∃ (x) (_ : x ∈ s), _ (#9184)

Search for [∀∃].*(_ and manually replace some occurrences with more readable versions. In case of ∀, the new expressions are defeq to the old ones. In case of ∃, they differ by exists_prop.

In some rare cases, golf proofs that needed fixing.

14c72960

Diff

@@ -37,7 +37,7 @@ theorem exists_primeSpectrum_prod_le (I : Ideal R) :
   by_cases htop : M = ⊤
   · rw [htop]
     exact ⟨0, le_top⟩
-  have lt_add : ∀ (z) (_ : z ∉ M), M < M + span R {z} := by
+  have lt_add : ∀ z ∉ M, M < M + span R {z} := by
     intro z hz
     refine' lt_of_le_of_ne le_sup_left fun m_eq => hz _
     rw [m_eq]
@@ -81,7 +81,7 @@ theorem exists_primeSpectrum_prod_le_and_ne_bot_of_domain (h_fA : ¬IsField A) {
     rw [Multiset.map_singleton, Multiset.prod_singleton]
     exact ⟨le_rfl, h_nzM⟩
   obtain ⟨x, hx, y, hy, h_xy⟩ := (Ideal.not_isPrime_iff.mp h_prM).resolve_left h_topM
-  have lt_add : ∀ (z) (_ : z ∉ M), M < M + span A {z} := by
+  have lt_add : ∀ z ∉ M, M < M + span A {z} := by
     intro z hz
     refine' lt_of_le_of_ne le_sup_left fun m_eq => hz _
     rw [m_eq]

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) 2020 Filippo A. E. Nuccio. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Filippo A. E. Nuccio, Andrew Yang
-
-! This file was ported from Lean 3 source module algebraic_geometry.prime_spectrum.noetherian
-! 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.Topology.NoetherianSpace
 
+#align_import algebraic_geometry.prime_spectrum.noetherian from "leanprover-community/mathlib"@"052f6013363326d50cb99c6939814a4b8eb7b301"
+
 /-!
 This file proves additional properties of the prime spectrum a ring is Noetherian.
 -/

052f6013

feat: port AlgebraicGeometry.PrimeSpectrum.Noetherian (#4364)

0a215a98

`algebraic_geometry.prime_spectrum.noetherian` ⟷ `Mathlib.AlgebraicGeometry.PrimeSpectrum.Noetherian`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 677

algebraic_geometry.prime_spectrum.noetherian ⟷ Mathlib.AlgebraicGeometry.PrimeSpectrum.Noetherian

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 11 + 677

`algebraic_geometry.prime_spectrum.noetherian` ⟷ `Mathlib.AlgebraicGeometry.PrimeSpectrum.Noetherian`