category_theory.subobject.well_poweredMathlib.CategoryTheory.Subobject.WellPowered

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.

Changes in mathlib3

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Changes in mathlib3port

mathlib3
mathlib3port
Diff
@@ -3,8 +3,8 @@ Copyright (c) 2021 Scott Morrison. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Scott Morrison
 -/
-import Mathbin.CategoryTheory.Subobject.Basic
-import Mathbin.CategoryTheory.EssentiallySmall
+import CategoryTheory.Subobject.Basic
+import CategoryTheory.EssentiallySmall
 
 #align_import category_theory.subobject.well_powered from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
 
Diff
@@ -2,15 +2,12 @@
 Copyright (c) 2021 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.subobject.well_powered
-! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Subobject.Basic
 import Mathbin.CategoryTheory.EssentiallySmall
 
+#align_import category_theory.subobject.well_powered from "leanprover-community/mathlib"@"ce38d86c0b2d427ce208c3cee3159cb421d2b3c4"
+
 /-!
 # Well-powered categories
 
Diff
@@ -95,16 +95,20 @@ section Equivalence
 
 variable {D : Type u₂} [Category.{v} D]
 
+#print CategoryTheory.wellPowered_of_equiv /-
 theorem wellPowered_of_equiv (e : C ≌ D) [WellPowered C] : WellPowered D :=
   wellPowered_of_essentiallySmall_monoOver fun X =>
     (essentiallySmall_congr (MonoOver.congr X e.symm)).2 <| by infer_instance
 #align category_theory.well_powered_of_equiv CategoryTheory.wellPowered_of_equiv
+-/
 
+#print CategoryTheory.wellPowered_congr /-
 /-- Being well-powered is preserved by equivalences, as long as the two categories involved have
     their morphisms in the same universe. -/
 theorem wellPowered_congr (e : C ≌ D) : WellPowered C ↔ WellPowered D :=
   ⟨fun i => well_powered_of_equiv e, fun i => well_powered_of_equiv e.symm⟩
 #align category_theory.well_powered_congr CategoryTheory.wellPowered_congr
+-/
 
 end Equivalence
 
Diff
@@ -95,23 +95,11 @@ section Equivalence
 
 variable {D : Type u₂} [Category.{v} D]
 
-/- warning: category_theory.well_powered_of_equiv -> CategoryTheory.wellPowered_of_equiv is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C _inst_1 D _inst_2) -> (forall [_inst_3 : CategoryTheory.WellPowered.{u1, u2} C _inst_1], CategoryTheory.WellPowered.{u1, u3} D _inst_2)
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C D _inst_1 _inst_2) -> (forall [_inst_3 : CategoryTheory.WellPowered.{u1, u2} C _inst_1], CategoryTheory.WellPowered.{u1, u3} D _inst_2)
-Case conversion may be inaccurate. Consider using '#align category_theory.well_powered_of_equiv CategoryTheory.wellPowered_of_equivₓ'. -/
 theorem wellPowered_of_equiv (e : C ≌ D) [WellPowered C] : WellPowered D :=
   wellPowered_of_essentiallySmall_monoOver fun X =>
     (essentiallySmall_congr (MonoOver.congr X e.symm)).2 <| by infer_instance
 #align category_theory.well_powered_of_equiv CategoryTheory.wellPowered_of_equiv
 
-/- warning: category_theory.well_powered_congr -> CategoryTheory.wellPowered_congr is a dubious translation:
-lean 3 declaration is
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.WellPowered.{u1, u2} C _inst_1) (CategoryTheory.WellPowered.{u1, u3} D _inst_2))
-but is expected to have type
-  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.WellPowered.{u1, u2} C _inst_1) (CategoryTheory.WellPowered.{u1, u3} D _inst_2))
-Case conversion may be inaccurate. Consider using '#align category_theory.well_powered_congr CategoryTheory.wellPowered_congrₓ'. -/
 /-- Being well-powered is preserved by equivalences, as long as the two categories involved have
     their morphisms in the same universe. -/
 theorem wellPowered_congr (e : C ≌ D) : WellPowered C ↔ WellPowered D :=
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.subobject.well_powered
-! leanprover-community/mathlib commit 29b834dfbba4ed1b7950628bbf5e69ab98c15b4c
+! leanprover-community/mathlib commit ce38d86c0b2d427ce208c3cee3159cb421d2b3c4
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.CategoryTheory.EssentiallySmall
 /-!
 # Well-powered categories
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 A category `(C : Type u) [category.{v} C]` is `[well_powered C]` if
 for every `X : C`, we have `small.{v} (subobject X)`.
 
Diff
@@ -36,6 +36,7 @@ namespace CategoryTheory
 
 variable (C : Type u₁) [Category.{v} C]
 
+#print CategoryTheory.WellPowered /-
 /--
 A category (with morphisms in `Type v`) is well-powered if `subobject X` is `v`-small for every `X`.
 
@@ -45,34 +46,45 @@ that this is the case if and only if `mono_over X` is `v`-essentially small for
 class WellPowered : Prop where
   subobject_small : ∀ X : C, Small.{v} (Subobject X) := by infer_instance
 #align category_theory.well_powered CategoryTheory.WellPowered
+-/
 
+#print CategoryTheory.small_subobject /-
 instance small_subobject [WellPowered C] (X : C) : Small.{v} (Subobject X) :=
   WellPowered.subobject_small X
 #align category_theory.small_subobject CategoryTheory.small_subobject
+-/
 
+#print CategoryTheory.wellPowered_of_smallCategory /-
 instance (priority := 100) wellPowered_of_smallCategory (C : Type u₁) [SmallCategory C] :
     WellPowered C where
 #align category_theory.well_powered_of_small_category CategoryTheory.wellPowered_of_smallCategory
+-/
 
 variable {C}
 
+#print CategoryTheory.essentiallySmall_monoOver_iff_small_subobject /-
 theorem essentiallySmall_monoOver_iff_small_subobject (X : C) :
     EssentiallySmall.{v} (MonoOver X) ↔ Small.{v} (Subobject X) :=
   essentiallySmall_iff_of_thin
 #align category_theory.essentially_small_mono_over_iff_small_subobject CategoryTheory.essentiallySmall_monoOver_iff_small_subobject
+-/
 
+#print CategoryTheory.wellPowered_of_essentiallySmall_monoOver /-
 theorem wellPowered_of_essentiallySmall_monoOver (h : ∀ X : C, EssentiallySmall.{v} (MonoOver X)) :
     WellPowered C :=
   { subobject_small := fun X => (essentiallySmall_monoOver_iff_small_subobject X).mp (h X) }
 #align category_theory.well_powered_of_essentially_small_mono_over CategoryTheory.wellPowered_of_essentiallySmall_monoOver
+-/
 
 section
 
 variable [WellPowered C]
 
+#print CategoryTheory.essentiallySmall_monoOver /-
 instance essentiallySmall_monoOver (X : C) : EssentiallySmall.{v} (MonoOver X) :=
   (essentiallySmall_monoOver_iff_small_subobject X).mpr (WellPowered.subobject_small X)
 #align category_theory.essentially_small_mono_over CategoryTheory.essentiallySmall_monoOver
+-/
 
 end
 
@@ -80,11 +92,23 @@ section Equivalence
 
 variable {D : Type u₂} [Category.{v} D]
 
+/- warning: category_theory.well_powered_of_equiv -> CategoryTheory.wellPowered_of_equiv is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C _inst_1 D _inst_2) -> (forall [_inst_3 : CategoryTheory.WellPowered.{u1, u2} C _inst_1], CategoryTheory.WellPowered.{u1, u3} D _inst_2)
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C D _inst_1 _inst_2) -> (forall [_inst_3 : CategoryTheory.WellPowered.{u1, u2} C _inst_1], CategoryTheory.WellPowered.{u1, u3} D _inst_2)
+Case conversion may be inaccurate. Consider using '#align category_theory.well_powered_of_equiv CategoryTheory.wellPowered_of_equivₓ'. -/
 theorem wellPowered_of_equiv (e : C ≌ D) [WellPowered C] : WellPowered D :=
   wellPowered_of_essentiallySmall_monoOver fun X =>
     (essentiallySmall_congr (MonoOver.congr X e.symm)).2 <| by infer_instance
 #align category_theory.well_powered_of_equiv CategoryTheory.wellPowered_of_equiv
 
+/- warning: category_theory.well_powered_congr -> CategoryTheory.wellPowered_congr is a dubious translation:
+lean 3 declaration is
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C _inst_1 D _inst_2) -> (Iff (CategoryTheory.WellPowered.{u1, u2} C _inst_1) (CategoryTheory.WellPowered.{u1, u3} D _inst_2))
+but is expected to have type
+  forall {C : Type.{u2}} [_inst_1 : CategoryTheory.Category.{u1, u2} C] {D : Type.{u3}} [_inst_2 : CategoryTheory.Category.{u1, u3} D], (CategoryTheory.Equivalence.{u1, u1, u2, u3} C D _inst_1 _inst_2) -> (Iff (CategoryTheory.WellPowered.{u1, u2} C _inst_1) (CategoryTheory.WellPowered.{u1, u3} D _inst_2))
+Case conversion may be inaccurate. Consider using '#align category_theory.well_powered_congr CategoryTheory.wellPowered_congrₓ'. -/
 /-- Being well-powered is preserved by equivalences, as long as the two categories involved have
     their morphisms in the same universe. -/
 theorem wellPowered_congr (e : C ≌ D) : WellPowered C ↔ WellPowered D :=
Diff
@@ -70,9 +70,9 @@ section
 
 variable [WellPowered C]
 
-instance essentiallySmallMonoOver (X : C) : EssentiallySmall.{v} (MonoOver X) :=
+instance essentiallySmall_monoOver (X : C) : EssentiallySmall.{v} (MonoOver X) :=
   (essentiallySmall_monoOver_iff_small_subobject X).mpr (WellPowered.subobject_small X)
-#align category_theory.essentially_small_mono_over CategoryTheory.essentiallySmallMonoOver
+#align category_theory.essentially_small_mono_over CategoryTheory.essentiallySmall_monoOver
 
 end
 

Changes in mathlib4

mathlib3
mathlib4
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
@@ -2,15 +2,12 @@
 Copyright (c) 2021 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.subobject.well_powered
-! leanprover-community/mathlib commit 29b834dfbba4ed1b7950628bbf5e69ab98c15b4c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Subobject.Basic
 import Mathlib.CategoryTheory.EssentiallySmall
 
+#align_import category_theory.subobject.well_powered from "leanprover-community/mathlib"@"29b834dfbba4ed1b7950628bbf5e69ab98c15b4c"
+
 /-!
 # Well-powered categories
 
chore: fix typos (#4518)

I ran codespell Mathlib and got tired halfway through the suggestions.

Diff
@@ -17,7 +17,7 @@ import Mathlib.CategoryTheory.EssentiallySmall
 A category `(C : Type u) [Category.{v} C]` is `[WellPowered C]` if
 for every `X : C`, we have `Small.{v} (Subobject X)`.
 
-(Note that in this situtation `Subobject X : Type (max u v)`,
+(Note that in this situation `Subobject X : Type (max u v)`,
 so this is a nontrivial condition for large categories,
 but automatic for small categories.)
 
feat: port CategoryTheory.Subobject.WellPowered (#3446)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

Dependencies 142

143 files ported (100.0%)
57782 lines ported (100.0%)

All dependencies are ported!