topology.category.Top.epi_monoMathlib.Topology.Category.TopCat.EpiMono

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
@@ -3,7 +3,7 @@ Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton
 -/
-import Topology.Category.Top.Adjunctions
+import Topology.Category.TopCat.Adjunctions
 
 #align_import topology.category.Top.epi_mono from "leanprover-community/mathlib"@"4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b"
 
Diff
@@ -3,7 +3,7 @@ Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton
 -/
-import Mathbin.Topology.Category.Top.Adjunctions
+import Topology.Category.Top.Adjunctions
 
 #align_import topology.category.Top.epi_mono from "leanprover-community/mathlib"@"4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b"
 
Diff
@@ -2,14 +2,11 @@
 Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton
-
-! This file was ported from Lean 3 source module topology.category.Top.epi_mono
-! leanprover-community/mathlib commit 4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Topology.Category.Top.Adjunctions
 
+#align_import topology.category.Top.epi_mono from "leanprover-community/mathlib"@"4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b"
+
 /-!
 # Epi- and monomorphisms in `Top`
 
Diff
@@ -30,6 +30,7 @@ open TopCat
 
 namespace TopCat
 
+#print TopCat.epi_iff_surjective /-
 theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function.Surjective f :=
   by
   suffices epi f ↔ epi ((forget TopCat).map f) by rw [this, CategoryTheory.epi_iff_surjective]; rfl
@@ -37,7 +38,9 @@ theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function
   · intro; infer_instance
   · apply functor.epi_of_epi_map
 #align Top.epi_iff_surjective TopCat.epi_iff_surjective
+-/
 
+#print TopCat.mono_iff_injective /-
 theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Function.Injective f :=
   by
   suffices mono f ↔ mono ((forget TopCat).map f) by rw [this, CategoryTheory.mono_iff_injective];
@@ -46,6 +49,7 @@ theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Functio
   · intro; infer_instance
   · apply functor.mono_of_mono_map
 #align Top.mono_iff_injective TopCat.mono_iff_injective
+-/
 
 end TopCat
 
Diff
@@ -34,7 +34,7 @@ theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function
   by
   suffices epi f ↔ epi ((forget TopCat).map f) by rw [this, CategoryTheory.epi_iff_surjective]; rfl
   constructor
-  · intro ; infer_instance
+  · intro; infer_instance
   · apply functor.epi_of_epi_map
 #align Top.epi_iff_surjective TopCat.epi_iff_surjective
 
@@ -43,7 +43,7 @@ theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Functio
   suffices mono f ↔ mono ((forget TopCat).map f) by rw [this, CategoryTheory.mono_iff_injective];
     rfl
   constructor
-  · intro ; infer_instance
+  · intro; infer_instance
   · apply functor.mono_of_mono_map
 #align Top.mono_iff_injective TopCat.mono_iff_injective
 
Diff
@@ -30,12 +30,6 @@ open TopCat
 
 namespace TopCat
 
-/- warning: Top.epi_iff_surjective -> TopCat.epi_iff_surjective is a dubious translation:
-lean 3 declaration is
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), Iff (CategoryTheory.Epi.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f) (Function.Surjective.{succ u1, succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f))
-but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), Iff (CategoryTheory.Epi.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f) (Function.Surjective.{succ u1, succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f))
-Case conversion may be inaccurate. Consider using '#align Top.epi_iff_surjective TopCat.epi_iff_surjectiveₓ'. -/
 theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function.Surjective f :=
   by
   suffices epi f ↔ epi ((forget TopCat).map f) by rw [this, CategoryTheory.epi_iff_surjective]; rfl
@@ -44,12 +38,6 @@ theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function
   · apply functor.epi_of_epi_map
 #align Top.epi_iff_surjective TopCat.epi_iff_surjective
 
-/- warning: Top.mono_iff_injective -> TopCat.mono_iff_injective is a dubious translation:
-lean 3 declaration is
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), Iff (CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f) (Function.Injective.{succ u1, succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f))
-but is expected to have type
-  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), Iff (CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f) (Function.Injective.{succ u1, succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f))
-Case conversion may be inaccurate. Consider using '#align Top.mono_iff_injective TopCat.mono_iff_injectiveₓ'. -/
 theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Function.Injective f :=
   by
   suffices mono f ↔ mono ((forget TopCat).map f) by rw [this, CategoryTheory.mono_iff_injective];
Diff
@@ -38,13 +38,9 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align Top.epi_iff_surjective TopCat.epi_iff_surjectiveₓ'. -/
 theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function.Surjective f :=
   by
-  suffices epi f ↔ epi ((forget TopCat).map f)
-    by
-    rw [this, CategoryTheory.epi_iff_surjective]
-    rfl
+  suffices epi f ↔ epi ((forget TopCat).map f) by rw [this, CategoryTheory.epi_iff_surjective]; rfl
   constructor
-  · intro
-    infer_instance
+  · intro ; infer_instance
   · apply functor.epi_of_epi_map
 #align Top.epi_iff_surjective TopCat.epi_iff_surjective
 
@@ -56,13 +52,10 @@ but is expected to have type
 Case conversion may be inaccurate. Consider using '#align Top.mono_iff_injective TopCat.mono_iff_injectiveₓ'. -/
 theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Function.Injective f :=
   by
-  suffices mono f ↔ mono ((forget TopCat).map f)
-    by
-    rw [this, CategoryTheory.mono_iff_injective]
+  suffices mono f ↔ mono ((forget TopCat).map f) by rw [this, CategoryTheory.mono_iff_injective];
     rfl
   constructor
-  · intro
-    infer_instance
+  · intro ; infer_instance
   · apply functor.mono_of_mono_map
 #align Top.mono_iff_injective TopCat.mono_iff_injective
 
Diff
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton
 
 ! This file was ported from Lean 3 source module topology.category.Top.epi_mono
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
+! leanprover-community/mathlib commit 4f4a1c875d0baa92ab5d92f3fb1bb258ad9f3e5b
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -13,6 +13,9 @@ import Mathbin.Topology.Category.Top.Adjunctions
 /-!
 # Epi- and monomorphisms in `Top`
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 This file shows that a continuous function is an epimorphism in the category of topological spaces
 if and only if it is surjective, and that a continuous function is a monomorphism in the category of
 topological spaces if and only if it is injective.
Diff
@@ -27,6 +27,12 @@ open TopCat
 
 namespace TopCat
 
+/- warning: Top.epi_iff_surjective -> TopCat.epi_iff_surjective is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), Iff (CategoryTheory.Epi.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f) (Function.Surjective.{succ u1, succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), Iff (CategoryTheory.Epi.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f) (Function.Surjective.{succ u1, succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f))
+Case conversion may be inaccurate. Consider using '#align Top.epi_iff_surjective TopCat.epi_iff_surjectiveₓ'. -/
 theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function.Surjective f :=
   by
   suffices epi f ↔ epi ((forget TopCat).map f)
@@ -39,6 +45,12 @@ theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function
   · apply functor.epi_of_epi_map
 #align Top.epi_iff_surjective TopCat.epi_iff_surjective
 
+/- warning: Top.mono_iff_injective -> TopCat.mono_iff_injective is a dubious translation:
+lean 3 declaration is
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y), Iff (CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1} X Y f) (Function.Injective.{succ u1, succ u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (coeFn.{succ u1, succ u1} (Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} TopCat.largeCategory.{u1})) X Y) (fun (_x : ContinuousMap.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) => (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) -> (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y)) (ContinuousMap.hasCoeToFun.{u1, u1} (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) X) (coeSort.{succ (succ u1), succ (succ u1)} (CategoryTheory.Bundled.{u1, u1} TopologicalSpace.{u1}) Type.{u1} (CategoryTheory.Bundled.hasCoeToSort.{u1, u1} TopologicalSpace.{u1}) Y) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} X) (CategoryTheory.Bundled.str.{u1, u1} TopologicalSpace.{u1} Y)) f))
+but is expected to have type
+  forall {X : TopCat.{u1}} {Y : TopCat.{u1}} (f : Quiver.Hom.{succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) X Y), Iff (CategoryTheory.Mono.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} X Y f) (Function.Injective.{succ u1, succ u1} (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X) (Prefunctor.obj.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) Y) (Prefunctor.map.{succ u1, succ u1, succ u1, succ u1} TopCat.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} TopCat.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1})) Type.{u1} (CategoryTheory.CategoryStruct.toQuiver.{u1, succ u1} Type.{u1} (CategoryTheory.Category.toCategoryStruct.{u1, succ u1} Type.{u1} CategoryTheory.types.{u1})) (CategoryTheory.Functor.toPrefunctor.{u1, u1, succ u1, succ u1} TopCat.{u1} instTopCatLargeCategory.{u1} Type.{u1} CategoryTheory.types.{u1} (CategoryTheory.forget.{succ u1, u1, u1} TopCat.{u1} instTopCatLargeCategory.{u1} TopCat.concreteCategory.{u1})) X Y f))
+Case conversion may be inaccurate. Consider using '#align Top.mono_iff_injective TopCat.mono_iff_injectiveₓ'. -/
 theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Function.Injective f :=
   by
   suffices mono f ↔ mono ((forget TopCat).map f)

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
@@ -2,14 +2,11 @@
 Copyright (c) 2019 Reid Barton. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Reid Barton
-
-! This file was ported from Lean 3 source module topology.category.Top.epi_mono
-! leanprover-community/mathlib commit 70fd9563a21e7b963887c9360bd29b2393e6225a
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Topology.Category.TopCat.Adjunctions
 
+#align_import topology.category.Top.epi_mono from "leanprover-community/mathlib"@"70fd9563a21e7b963887c9360bd29b2393e6225a"
+
 /-!
 # Epi- and monomorphisms in `Top`
 
feat: change ConcreteCategory.hasCoeToFun to FunLike (#4693)
Diff
@@ -30,6 +30,7 @@ namespace TopCat
 theorem epi_iff_surjective {X Y : TopCat.{u}} (f : X ⟶ Y) : Epi f ↔ Function.Surjective f := by
   suffices Epi f ↔ Epi ((forget TopCat).map f) by
     rw [this, CategoryTheory.epi_iff_surjective]
+    rfl
   constructor
   · intro
     infer_instance
@@ -40,6 +41,7 @@ set_option linter.uppercaseLean3 false in
 theorem mono_iff_injective {X Y : TopCat.{u}} (f : X ⟶ Y) : Mono f ↔ Function.Injective f := by
   suffices Mono f ↔ Mono ((forget TopCat).map f) by
     rw [this, CategoryTheory.mono_iff_injective]
+    rfl
   constructor
   · intro
     infer_instance
chore: rename Top->TopCat (#4089)
Diff
@@ -8,7 +8,7 @@ Authors: Reid Barton
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
-import Mathlib.Topology.Category.Top.Adjunctions
+import Mathlib.Topology.Category.TopCat.Adjunctions
 
 /-!
 # Epi- and monomorphisms in `Top`
feat: port Topology.Category.Top.EpiMono (#3394)

Co-authored-by: Pol_tta <65514131+Ruben-VandeVelde@users.noreply.github.com> Co-authored-by: EmilieUthaiwat <emiliepathum@gmail.com> Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

Dependencies 8 + 379

380 files ported (97.9%)
155180 lines ported (96.9%)
Show graph

The unported dependencies are