category_theory.noetherianMathlib.CategoryTheory.Noetherian

This file has been ported!

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.

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -46,7 +46,7 @@ class NoetherianObject (X : C) : Prop where
 -/
 
 #print CategoryTheory.ArtinianObject /-
-/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:400:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 
Diff
@@ -46,7 +46,7 @@ class NoetherianObject (X : C) : Prop where
 -/
 
 #print CategoryTheory.ArtinianObject /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:404:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 
Diff
@@ -3,9 +3,9 @@ Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Subobject.Lattice
-import Mathbin.CategoryTheory.EssentiallySmall
-import Mathbin.CategoryTheory.Simple
+import CategoryTheory.Subobject.Lattice
+import CategoryTheory.EssentiallySmall
+import CategoryTheory.Simple
 
 #align_import category_theory.noetherian from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
 
@@ -46,7 +46,7 @@ class NoetherianObject (X : C) : Prop where
 -/
 
 #print CategoryTheory.ArtinianObject /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 
Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.noetherian
-! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Subobject.Lattice
 import Mathbin.CategoryTheory.EssentiallySmall
 import Mathbin.CategoryTheory.Simple
 
+#align_import category_theory.noetherian from "leanprover-community/mathlib"@"f2b757fc5c341d88741b9c4630b1e8ba973c5726"
+
 /-!
 # Artinian and noetherian categories
 
Diff
@@ -49,7 +49,7 @@ class NoetherianObject (X : C) : Prop where
 -/
 
 #print CategoryTheory.ArtinianObject /-
-/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 
@@ -86,6 +86,7 @@ open Subobject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
+#print CategoryTheory.exists_simple_subobject /-
 theorem exists_simple_subobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
     ∃ Y : Subobject X, Simple (Y : C) :=
   by
@@ -95,6 +96,7 @@ theorem exists_simple_subobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
   obtain ⟨Y, s⟩ := (IsAtomic.eq_bot_or_exists_atom_le (⊤ : subobject X)).resolve_left top_ne_bot
   exact ⟨Y, (subobject_simple_iff_is_atom _).mpr s.1⟩
 #align category_theory.exists_simple_subobject CategoryTheory.exists_simple_subobject
+-/
 
 #print CategoryTheory.simpleSubobject /-
 /-- Choose an arbitrary simple subobject of a non-zero artinian object. -/
Diff
@@ -49,7 +49,7 @@ class NoetherianObject (X : C) : Prop where
 -/
 
 #print CategoryTheory.ArtinianObject /-
-/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:394:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 
Diff
@@ -107,7 +107,8 @@ noncomputable def simpleSubobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
 /-- The monomorphism from the arbitrary simple subobject of a non-zero artinian object. -/
 noncomputable def simpleSubobjectArrow {X : C} [ArtinianObject X] (h : ¬IsZero X) :
     simpleSubobject h ⟶ X :=
-  (exists_simple_subobject h).some.arrow deriving Mono
+  (exists_simple_subobject h).some.arrow
+deriving Mono
 #align category_theory.simple_subobject_arrow CategoryTheory.simpleSubobjectArrow
 -/
 
Diff
@@ -86,12 +86,6 @@ open Subobject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
-/- warning: category_theory.exists_simple_subobject -> CategoryTheory.exists_simple_subobject is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u1} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u2, u1} C _inst_1] {X : C} [_inst_4 : CategoryTheory.ArtinianObject.{u1, u2} C _inst_1 X], (Not (CategoryTheory.Limits.IsZero.{u2, u1} C _inst_1 X)) -> (Exists.{succ (max u1 u2)} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) (fun (Y : CategoryTheory.Subobject.{u2, u1} C _inst_1 X) => CategoryTheory.Simple.{u2, u1} C _inst_1 _inst_2 ((fun (a : Type.{max u1 u2}) (b : Type.{u1}) [self : HasLiftT.{succ (max u1 u2), succ u1} a b] => self.0) (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (HasLiftT.mk.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (coeBase.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u2, u1} C _inst_1 X)))) Y)))
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} C _inst_1] {X : C} [_inst_4 : CategoryTheory.ArtinianObject.{u2, u1} C _inst_1 X], (Not (CategoryTheory.Limits.IsZero.{u1, u2} C _inst_1 X)) -> (Exists.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Simple.{u1, u2} C _inst_1 _inst_2 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y)))
-Case conversion may be inaccurate. Consider using '#align category_theory.exists_simple_subobject CategoryTheory.exists_simple_subobjectₓ'. -/
 theorem exists_simple_subobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
     ∃ Y : Subobject X, Simple (Y : C) :=
   by
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 
 ! This file was ported from Lean 3 source module category_theory.noetherian
-! leanprover-community/mathlib commit 7c4c90f422a4a4477e4d8bc4dc9f1e634e6b2349
+! leanprover-community/mathlib commit f2b757fc5c341d88741b9c4630b1e8ba973c5726
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -15,6 +15,9 @@ import Mathbin.CategoryTheory.Simple
 /-!
 # Artinian and noetherian categories
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 An artinian category is a category in which objects do not
 have infinite decreasing sequences of subobjects.
 
Diff
@@ -34,6 +34,7 @@ open CategoryTheory.Limits
 
 variable {C : Type _} [Category C]
 
+#print CategoryTheory.NoetherianObject /-
 /-- A noetherian object is an object
 which does not have infinite increasing sequences of subobjects.
 
@@ -42,7 +43,9 @@ See https://stacks.math.columbia.edu/tag/0FCG
 class NoetherianObject (X : C) : Prop where
   subobject_gt_wellFounded : WellFounded ((· > ·) : Subobject X → Subobject X → Prop)
 #align category_theory.noetherian_object CategoryTheory.NoetherianObject
+-/
 
+#print CategoryTheory.ArtinianObject /-
 /- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
@@ -52,20 +55,25 @@ See https://stacks.math.columbia.edu/tag/0FCF
 class ArtinianObject (X : C) : Prop where
   subobject_lt_wellFounded : WellFounded ((· < ·) : Subobject X → Subobject X → Prop)
 #align category_theory.artinian_object CategoryTheory.ArtinianObject
+-/
 
 variable (C)
 
+#print CategoryTheory.Noetherian /-
 /-- A category is noetherian if it is essentially small and all objects are noetherian. -/
 class Noetherian extends EssentiallySmall C where
   NoetherianObject : ∀ X : C, NoetherianObject X
 #align category_theory.noetherian CategoryTheory.Noetherian
+-/
 
 attribute [instance] noetherian.noetherian_object
 
+#print CategoryTheory.Artinian /-
 /-- A category is artinian if it is essentially small and all objects are artinian. -/
 class Artinian extends EssentiallySmall C where
   ArtinianObject : ∀ X : C, ArtinianObject X
 #align category_theory.artinian CategoryTheory.Artinian
+-/
 
 attribute [instance] artinian.artinian_object
 
@@ -75,6 +83,12 @@ open Subobject
 
 variable [HasZeroMorphisms C] [HasZeroObject C]
 
+/- warning: category_theory.exists_simple_subobject -> CategoryTheory.exists_simple_subobject is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u1}} [_inst_1 : CategoryTheory.Category.{u2, u1} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u2, u1} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u2, u1} C _inst_1] {X : C} [_inst_4 : CategoryTheory.ArtinianObject.{u1, u2} C _inst_1 X], (Not (CategoryTheory.Limits.IsZero.{u2, u1} C _inst_1 X)) -> (Exists.{succ (max u1 u2)} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) (fun (Y : CategoryTheory.Subobject.{u2, u1} C _inst_1 X) => CategoryTheory.Simple.{u2, u1} C _inst_1 _inst_2 ((fun (a : Type.{max u1 u2}) (b : Type.{u1}) [self : HasLiftT.{succ (max u1 u2), succ u1} a b] => self.0) (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (HasLiftT.mk.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (CoeTCₓ.coe.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (coeBase.{succ (max u1 u2), succ u1} (CategoryTheory.Subobject.{u2, u1} C _inst_1 X) C (CategoryTheory.Subobject.hasCoe.{u2, u1} C _inst_1 X)))) Y)))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] [_inst_2 : CategoryTheory.Limits.HasZeroMorphisms.{u1, u2} C _inst_1] [_inst_3 : CategoryTheory.Limits.HasZeroObject.{u1, u2} C _inst_1] {X : C} [_inst_4 : CategoryTheory.ArtinianObject.{u2, u1} C _inst_1 X], (Not (CategoryTheory.Limits.IsZero.{u1, u2} C _inst_1 X)) -> (Exists.{max (succ u2) (succ u1)} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (fun (Y : CategoryTheory.Subobject.{u1, u2} C _inst_1 X) => CategoryTheory.Simple.{u1, u2} C _inst_1 _inst_2 (Prefunctor.obj.{max (succ u2) (succ u1), succ u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.CategoryStruct.toQuiver.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.Category.toCategoryStruct.{max u2 u1, max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))))) C (CategoryTheory.CategoryStruct.toQuiver.{u1, u2} C (CategoryTheory.Category.toCategoryStruct.{u1, u2} C _inst_1)) (CategoryTheory.Functor.toPrefunctor.{max u2 u1, u1, max u2 u1, u2} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (Preorder.smallCategory.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (PartialOrder.toPreorder.{max u2 u1} (CategoryTheory.Subobject.{u1, u2} C _inst_1 X) (CategoryTheory.instPartialOrderSubobject.{u1, u2} C _inst_1 X))) C _inst_1 (CategoryTheory.Subobject.underlying.{u1, u2} C _inst_1 X)) Y)))
+Case conversion may be inaccurate. Consider using '#align category_theory.exists_simple_subobject CategoryTheory.exists_simple_subobjectₓ'. -/
 theorem exists_simple_subobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
     ∃ Y : Subobject X, Simple (Y : C) :=
   by
@@ -85,16 +99,20 @@ theorem exists_simple_subobject {X : C} [ArtinianObject X] (h : ¬IsZero X) :
   exact ⟨Y, (subobject_simple_iff_is_atom _).mpr s.1⟩
 #align category_theory.exists_simple_subobject CategoryTheory.exists_simple_subobject
 
+#print CategoryTheory.simpleSubobject /-
 /-- Choose an arbitrary simple subobject of a non-zero artinian object. -/
 noncomputable def simpleSubobject {X : C} [ArtinianObject X] (h : ¬IsZero X) : C :=
   (exists_simple_subobject h).some
 #align category_theory.simple_subobject CategoryTheory.simpleSubobject
+-/
 
+#print CategoryTheory.simpleSubobjectArrow /-
 /-- The monomorphism from the arbitrary simple subobject of a non-zero artinian object. -/
 noncomputable def simpleSubobjectArrow {X : C} [ArtinianObject X] (h : ¬IsZero X) :
     simpleSubobject h ⟶ X :=
   (exists_simple_subobject h).some.arrow deriving Mono
 #align category_theory.simple_subobject_arrow CategoryTheory.simpleSubobjectArrow
+-/
 
 instance {X : C} [ArtinianObject X] (h : ¬IsZero X) : Simple (simpleSubobject h) :=
   (exists_simple_subobject h).choose_spec
Diff
@@ -43,7 +43,7 @@ class NoetherianObject (X : C) : Prop where
   subobject_gt_wellFounded : WellFounded ((· > ·) : Subobject X → Subobject X → Prop)
 #align category_theory.noetherian_object CategoryTheory.NoetherianObject
 
-/- ./././Mathport/Syntax/Translate/Command.lean:388:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
+/- ./././Mathport/Syntax/Translate/Command.lean:393:30: infer kinds are unsupported in Lean 4: #[`subobject_lt_wellFounded] [] -/
 /-- An artinian object is an object
 which does not have infinite decreasing sequences of subobjects.
 

Changes in mathlib4

mathlib3
mathlib4
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.

Diff
@@ -29,7 +29,7 @@ namespace CategoryTheory
 
 open CategoryTheory.Limits
 
-variable {C : Type _} [Category C]
+variable {C : Type*} [Category C]
 
 /-- A noetherian object is an object
 which does not have infinite increasing sequences of subobjects.
feat: Linter that checks that Prop classes are Props (#6148)
Diff
@@ -60,14 +60,14 @@ lemma ArtinianObject.subobject_lt_wellFounded (X : C) [ArtinianObject X] :
 variable (C)
 
 /-- A category is noetherian if it is essentially small and all objects are noetherian. -/
-class Noetherian extends EssentiallySmall C where
+class Noetherian extends EssentiallySmall C : Prop where
   noetherianObject : ∀ X : C, NoetherianObject X
 #align category_theory.noetherian CategoryTheory.Noetherian
 
 attribute [instance] Noetherian.noetherianObject
 
 /-- A category is artinian if it is essentially small and all objects are artinian. -/
-class Artinian extends EssentiallySmall C where
+class Artinian extends EssentiallySmall C : Prop where
   artinianObject : ∀ X : C, ArtinianObject X
 #align category_theory.artinian CategoryTheory.Artinian
 
chore: script to replace headers with #align_import statements (#5979)

Open in Gitpod

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

Diff
@@ -2,16 +2,13 @@
 Copyright (c) 2022 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
-
-! This file was ported from Lean 3 source module category_theory.noetherian
-! leanprover-community/mathlib commit 7c4c90f422a4a4477e4d8bc4dc9f1e634e6b2349
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Subobject.Lattice
 import Mathlib.CategoryTheory.EssentiallySmall
 import Mathlib.CategoryTheory.Simple
 
+#align_import category_theory.noetherian from "leanprover-community/mathlib"@"7c4c90f422a4a4477e4d8bc4dc9f1e634e6b2349"
+
 /-!
 # Artinian and noetherian categories
 
feat: port CategoryTheory.Noetherian (#3685)

Dependencies 3 + 343

344 files ported (99.1%)
137985 lines ported (99.3%)
Show graph

The unported dependencies are