category_theory.subobject.typesMathlib.CategoryTheory.Subobject.Types

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.WellPowered
-import Mathbin.CategoryTheory.Types
+import CategoryTheory.Subobject.WellPowered
+import CategoryTheory.Types
 
 #align_import category_theory.subobject.types from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
 
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.types
-! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.CategoryTheory.Subobject.WellPowered
 import Mathbin.CategoryTheory.Types
 
+#align_import category_theory.subobject.types from "leanprover-community/mathlib"@"8eb9c42d4d34c77f6ee84ea766ae4070233a973c"
+
 /-!
 # `Type u` is well-powered
 
Diff
@@ -45,6 +45,7 @@ theorem subtype_val_mono {α : Type u} (s : Set α) : Mono (↾(Subtype.val : s
 
 attribute [local instance] subtype_val_mono
 
+#print Types.monoOverEquivalenceSet /-
 /-- The category of `mono_over α`, for `α : Type u`, is equivalent to the partial order `set α`.
 -/
 @[simps]
@@ -68,6 +69,7 @@ noncomputable def Types.monoOverEquivalenceSet (α : Type u) : MonoOver α ≌ S
       (by tidy)
   counitIso := NatIso.ofComponents (fun s => eqToIso Subtype.range_val) (by tidy)
 #align types.mono_over_equivalence_set Types.monoOverEquivalenceSet
+-/
 
 instance : WellPowered (Type u) :=
   wellPowered_of_essentiallySmall_monoOver fun α =>
Diff
@@ -35,7 +35,7 @@ open CategoryTheory
 
 open CategoryTheory.Subobject
 
-open CategoryTheory.Type
+open scoped CategoryTheory.Type
 
 #print subtype_val_mono /-
 theorem subtype_val_mono {α : Type u} (s : Set α) : Mono (↾(Subtype.val : s → α)) :=
@@ -73,9 +73,11 @@ instance : WellPowered (Type u) :=
   wellPowered_of_essentiallySmall_monoOver fun α =>
     EssentiallySmall.mk' (Types.monoOverEquivalenceSet α)
 
+#print Types.subobjectEquivSet /-
 /-- For `α : Type u`, `subobject α` is order isomorphic to `set α`.
 -/
 noncomputable def Types.subobjectEquivSet (α : Type u) : Subobject α ≃o Set α :=
   (Types.monoOverEquivalenceSet α).thinSkeletonOrderIso
 #align types.subobject_equiv_set Types.subobjectEquivSet
+-/
 
Diff
@@ -45,12 +45,6 @@ theorem subtype_val_mono {α : Type u} (s : Set α) : Mono (↾(Subtype.val : s
 
 attribute [local instance] subtype_val_mono
 
-/- warning: types.mono_over_equivalence_set -> Types.monoOverEquivalenceSet is a dubious translation:
-lean 3 declaration is
-  forall (α : Type.{u1}), CategoryTheory.Equivalence.{u1, u1, succ u1, u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.smallCategory.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))))
-but is expected to have type
-  forall (α : Type.{u1}), CategoryTheory.Equivalence.{u1, u1, succ u1, u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (CategoryTheory.instCategoryMonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Preorder.smallCategory.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (SemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (Lattice.toSemilatticeInf.{u1} (Set.{u1} α) (GeneralizedCoheytingAlgebra.toLattice.{u1} (Set.{u1} α) (CoheytingAlgebra.toGeneralizedCoheytingAlgebra.{u1} (Set.{u1} α) (BiheytingAlgebra.toCoheytingAlgebra.{u1} (Set.{u1} α) (BooleanAlgebra.toBiheytingAlgebra.{u1} (Set.{u1} α) (Set.instBooleanAlgebraSet.{u1} α)))))))))
-Case conversion may be inaccurate. Consider using '#align types.mono_over_equivalence_set Types.monoOverEquivalenceSetₓ'. -/
 /-- The category of `mono_over α`, for `α : Type u`, is equivalent to the partial order `set α`.
 -/
 @[simps]
@@ -79,12 +73,6 @@ instance : WellPowered (Type u) :=
   wellPowered_of_essentiallySmall_monoOver fun α =>
     EssentiallySmall.mk' (Types.monoOverEquivalenceSet α)
 
-/- warning: types.subobject_equiv_set -> Types.subobjectEquivSet is a dubious translation:
-lean 3 declaration is
-  forall (α : Type.{u1}), OrderIso.{succ u1, u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.toHasLe.{succ u1} (CategoryTheory.ThinSkeleton.{u1, succ u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α)) (CategoryTheory.ThinSkeleton.preorder.{u1, succ u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α))) (Set.hasLe.{u1} α)
-but is expected to have type
-  forall (α : Type.{u1}), OrderIso.{succ u1, u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.toLE.{succ u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (PartialOrder.toPreorder.{succ u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.instPartialOrderSubobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α))) (Set.instLESet.{u1} α)
-Case conversion may be inaccurate. Consider using '#align types.subobject_equiv_set Types.subobjectEquivSetₓ'. -/
 /-- For `α : Type u`, `subobject α` is order isomorphic to `set α`.
 -/
 noncomputable def Types.subobjectEquivSet (α : Type u) : Subobject α ≃o Set α :=
Diff
@@ -66,10 +66,7 @@ noncomputable def Types.monoOverEquivalenceSet (α : Type u) : MonoOver α ≌ S
   inverse :=
     { obj := fun s => MonoOver.mk' (Subtype.val : s → α)
       map := fun s t b =>
-        MonoOver.homMk (fun w => ⟨w.1, Set.mem_of_mem_of_subset w.2 b.le⟩)
-          (by
-            ext
-            simp) }
+        MonoOver.homMk (fun w => ⟨w.1, Set.mem_of_mem_of_subset w.2 b.le⟩) (by ext; simp) }
   unitIso :=
     NatIso.ofComponents
       (fun f =>
Diff
@@ -82,11 +82,15 @@ instance : WellPowered (Type u) :=
   wellPowered_of_essentiallySmall_monoOver fun α =>
     EssentiallySmall.mk' (Types.monoOverEquivalenceSet α)
 
-#print Types.subobjectEquivSet /-
+/- warning: types.subobject_equiv_set -> Types.subobjectEquivSet is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}), OrderIso.{succ u1, u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.toHasLe.{succ u1} (CategoryTheory.ThinSkeleton.{u1, succ u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α)) (CategoryTheory.ThinSkeleton.preorder.{u1, succ u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α))) (Set.hasLe.{u1} α)
+but is expected to have type
+  forall (α : Type.{u1}), OrderIso.{succ u1, u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.toLE.{succ u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (PartialOrder.toPreorder.{succ u1} (CategoryTheory.Subobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.instPartialOrderSubobject.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α))) (Set.instLESet.{u1} α)
+Case conversion may be inaccurate. Consider using '#align types.subobject_equiv_set Types.subobjectEquivSetₓ'. -/
 /-- For `α : Type u`, `subobject α` is order isomorphic to `set α`.
 -/
 noncomputable def Types.subobjectEquivSet (α : Type u) : Subobject α ≃o Set α :=
   (Types.monoOverEquivalenceSet α).thinSkeletonOrderIso
 #align types.subobject_equiv_set Types.subobjectEquivSet
--/
 
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.types
-! leanprover-community/mathlib commit 610955826b3be3caaab5170fef04ecd5458521bf
+! leanprover-community/mathlib commit 8eb9c42d4d34c77f6ee84ea766ae4070233a973c
 ! 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.Types
 /-!
 # `Type u` is well-powered
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 By building a categorical equivalence `mono_over α ≌ set α` for any `α : Type u`,
 we deduce that `subobject α ≃o set α` and that `Type u` is well-powered.
 
Diff
@@ -34,12 +34,20 @@ open CategoryTheory.Subobject
 
 open CategoryTheory.Type
 
+#print subtype_val_mono /-
 theorem subtype_val_mono {α : Type u} (s : Set α) : Mono (↾(Subtype.val : s → α)) :=
   (mono_iff_injective _).mpr Subtype.val_injective
 #align subtype_val_mono subtype_val_mono
+-/
 
 attribute [local instance] subtype_val_mono
 
+/- warning: types.mono_over_equivalence_set -> Types.monoOverEquivalenceSet is a dubious translation:
+lean 3 declaration is
+  forall (α : Type.{u1}), CategoryTheory.Equivalence.{u1, u1, succ u1, u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (CategoryTheory.MonoOver.category.{succ u1, u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (Preorder.smallCategory.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (CompleteSemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (CompleteLattice.toCompleteSemilatticeInf.{u1} (Set.{u1} α) (Order.Coframe.toCompleteLattice.{u1} (Set.{u1} α) (CompleteDistribLattice.toCoframe.{u1} (Set.{u1} α) (CompleteBooleanAlgebra.toCompleteDistribLattice.{u1} (Set.{u1} α) (Set.completeBooleanAlgebra.{u1} α))))))))
+but is expected to have type
+  forall (α : Type.{u1}), CategoryTheory.Equivalence.{u1, u1, succ u1, u1} (CategoryTheory.MonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Set.{u1} α) (CategoryTheory.instCategoryMonoOver.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1} α) (Preorder.smallCategory.{u1} (Set.{u1} α) (PartialOrder.toPreorder.{u1} (Set.{u1} α) (SemilatticeInf.toPartialOrder.{u1} (Set.{u1} α) (Lattice.toSemilatticeInf.{u1} (Set.{u1} α) (GeneralizedCoheytingAlgebra.toLattice.{u1} (Set.{u1} α) (CoheytingAlgebra.toGeneralizedCoheytingAlgebra.{u1} (Set.{u1} α) (BiheytingAlgebra.toCoheytingAlgebra.{u1} (Set.{u1} α) (BooleanAlgebra.toBiheytingAlgebra.{u1} (Set.{u1} α) (Set.instBooleanAlgebraSet.{u1} α)))))))))
+Case conversion may be inaccurate. Consider using '#align types.mono_over_equivalence_set Types.monoOverEquivalenceSetₓ'. -/
 /-- The category of `mono_over α`, for `α : Type u`, is equivalent to the partial order `set α`.
 -/
 @[simps]
@@ -71,9 +79,11 @@ instance : WellPowered (Type u) :=
   wellPowered_of_essentiallySmall_monoOver fun α =>
     EssentiallySmall.mk' (Types.monoOverEquivalenceSet α)
 
+#print Types.subobjectEquivSet /-
 /-- For `α : Type u`, `subobject α` is order isomorphic to `set α`.
 -/
 noncomputable def Types.subobjectEquivSet (α : Type u) : Subobject α ≃o Set α :=
   (Types.monoOverEquivalenceSet α).thinSkeletonOrderIso
 #align types.subobject_equiv_set Types.subobjectEquivSet
+-/
 

Changes in mathlib4

mathlib3
mathlib4
chore: split Subsingleton,Nontrivial off of Data.Set.Basic (#11832)

Moves definition of and lemmas related to Set.Subsingleton and Set.Nontrivial to a new file, so that Basic can be shorter.

Diff
@@ -5,7 +5,7 @@ Authors: Scott Morrison
 -/
 import Mathlib.CategoryTheory.Subobject.WellPowered
 import Mathlib.CategoryTheory.Types
-import Mathlib.Data.Set.Basic
+import Mathlib.Data.Set.Subsingleton
 
 #align_import category_theory.subobject.types from "leanprover-community/mathlib"@"610955826b3be3caaab5170fef04ecd5458521bf"
 
chore(*): shake imports (#10199)
  • Remove Data.Set.Basic from scripts/noshake.json.
  • Remove an exception that was used by examples only, move these examples to a new test file.
  • Drop an exception for Order.Filter.Basic dependency on Control.Traversable.Instances, as the relevant parts were moved to Order.Filter.ListTraverse.
  • Run lake exe shake --fix.
Diff
@@ -5,6 +5,7 @@ Authors: Scott Morrison
 -/
 import Mathlib.CategoryTheory.Subobject.WellPowered
 import Mathlib.CategoryTheory.Types
+import Mathlib.Data.Set.Basic
 
 #align_import category_theory.subobject.types from "leanprover-community/mathlib"@"610955826b3be3caaab5170fef04ecd5458521bf"
 
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.types
-! leanprover-community/mathlib commit 610955826b3be3caaab5170fef04ecd5458521bf
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.CategoryTheory.Subobject.WellPowered
 import Mathlib.CategoryTheory.Types
 
+#align_import category_theory.subobject.types from "leanprover-community/mathlib"@"610955826b3be3caaab5170fef04ecd5458521bf"
+
 /-!
 # `Type u` is well-powered
 
chore: review of automation in category theory (#4793)

Clean up of automation in the category theory library. Leaving out unnecessary proof steps, or fields done by aesop_cat, and making more use of available autoparameters.

Co-authored-by: Scott Morrison <scott.morrison@anu.edu.au>

Diff
@@ -51,18 +51,11 @@ noncomputable def Types.monoOverEquivalenceSet (α : Type u) : MonoOver α ≌ S
             exact ⟨t.1 x, congr_fun t.w x⟩) }
   inverse :=
     { obj := fun s => MonoOver.mk' (Subtype.val : s → α)
-      map := fun {s t} b =>
-        MonoOver.homMk (fun w => ⟨w.1, Set.mem_of_mem_of_subset w.2 b.le⟩)
-          (by
-            funext
-            simp) }
+      map := fun {s t} b => MonoOver.homMk (fun w => ⟨w.1, Set.mem_of_mem_of_subset w.2 b.le⟩) }
   unitIso :=
-    NatIso.ofComponents
-      (fun f =>
-        MonoOver.isoMk (Equiv.ofInjective f.1.hom ((mono_iff_injective _).mp f.2)).toIso
-          (by aesop_cat))
-      (by aesop_cat)
-  counitIso := NatIso.ofComponents (fun s => eqToIso Subtype.range_val) (by aesop_cat)
+    NatIso.ofComponents fun f =>
+      MonoOver.isoMk (Equiv.ofInjective f.1.hom ((mono_iff_injective _).mp f.2)).toIso
+  counitIso := NatIso.ofComponents fun s => eqToIso Subtype.range_val
 #align types.mono_over_equivalence_set Types.monoOverEquivalenceSet
 
 instance : WellPowered (Type u) :=
feat: port CategoryTheory.Subobject.Types (#3503)

Dependencies 143

144 files ported (100.0%)
57852 lines ported (100.0%)

All dependencies are ported!