logic.equiv.functor
⟷
Mathlib.Logic.Equiv.Functor
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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mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -3,8 +3,8 @@ Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Scott Morrison
-/
-import Mathbin.Control.Bifunctor
-import Mathbin.Logic.Equiv.Defs
+import Control.Bifunctor
+import Logic.Equiv.Defs
#align_import logic.equiv.functor from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Scott Morrison
-
-! This file was ported from Lean 3 source module logic.equiv.functor
-! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Control.Bifunctor
import Mathbin.Logic.Equiv.Defs
+#align_import logic.equiv.functor from "leanprover-community/mathlib"@"69c6a5a12d8a2b159f20933e60115a4f2de62b58"
+
/-!
# Functor and bifunctors can be applied to `equiv`s.
mathlib commit https://github.com/leanprover-community/mathlib/commit/2196ab363eb097c008d4497125e0dde23fb36db2
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Scott Morrison
! This file was ported from Lean 3 source module logic.equiv.functor
-! leanprover-community/mathlib commit 9407b03373c8cd201df99d6bc5514fc2db44054f
+! leanprover-community/mathlib commit 69c6a5a12d8a2b159f20933e60115a4f2de62b58
! Please do not edit these lines, except to modify the commit id
! if you have ported upstream changes.
-/
@@ -14,6 +14,9 @@ import Mathbin.Logic.Equiv.Defs
/-!
# Functor and bifunctors can be applied to `equiv`s.
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
We define
```lean
def functor.map_equiv (f : Type u → Type v) [functor f] [is_lawful_functor f] :
mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5
@@ -37,6 +37,7 @@ namespace Functor
variable (f : Type u → Type v) [Functor f] [LawfulFunctor f]
+#print Functor.mapEquiv /-
/-- Apply a functor to an `equiv`. -/
def mapEquiv (h : α ≃ β) : f α ≃ f β where
toFun := map h
@@ -44,18 +45,24 @@ def mapEquiv (h : α ≃ β) : f α ≃ f β where
left_inv x := by simp [map_map]
right_inv x := by simp [map_map]
#align functor.map_equiv Functor.mapEquiv
+-/
+#print Functor.mapEquiv_apply /-
@[simp]
theorem mapEquiv_apply (h : α ≃ β) (x : f α) : (mapEquiv f h : f α ≃ f β) x = map h x :=
rfl
#align functor.map_equiv_apply Functor.mapEquiv_apply
+-/
+#print Functor.mapEquiv_symm_apply /-
@[simp]
theorem mapEquiv_symm_apply (h : α ≃ β) (y : f β) :
(mapEquiv f h : f α ≃ f β).symm y = map h.symm y :=
rfl
#align functor.map_equiv_symm_apply Functor.mapEquiv_symm_apply
+-/
+#print Functor.mapEquiv_refl /-
@[simp]
theorem mapEquiv_refl : mapEquiv f (Equiv.refl α) = Equiv.refl (f α) :=
by
@@ -63,6 +70,7 @@ theorem mapEquiv_refl : mapEquiv f (Equiv.refl α) = Equiv.refl (f α) :=
simp only [map_equiv_apply, refl_apply]
exact LawfulFunctor.id_map x
#align functor.map_equiv_refl Functor.mapEquiv_refl
+-/
end Functor
@@ -70,6 +78,7 @@ namespace Bifunctor
variable {α' β' : Type v} (F : Type u → Type v → Type w) [Bifunctor F] [LawfulBifunctor F]
+#print Bifunctor.mapEquiv /-
/-- Apply a bifunctor to a pair of `equiv`s. -/
def mapEquiv (h : α ≃ β) (h' : α' ≃ β') : F α α' ≃ F β β'
where
@@ -78,25 +87,32 @@ def mapEquiv (h : α ≃ β) (h' : α' ≃ β') : F α α' ≃ F β β'
left_inv x := by simp [bimap_bimap, id_bimap]
right_inv x := by simp [bimap_bimap, id_bimap]
#align bifunctor.map_equiv Bifunctor.mapEquiv
+-/
+#print Bifunctor.mapEquiv_apply /-
@[simp]
theorem mapEquiv_apply (h : α ≃ β) (h' : α' ≃ β') (x : F α α') :
(mapEquiv F h h' : F α α' ≃ F β β') x = bimap h h' x :=
rfl
#align bifunctor.map_equiv_apply Bifunctor.mapEquiv_apply
+-/
+#print Bifunctor.mapEquiv_symm_apply /-
@[simp]
theorem mapEquiv_symm_apply (h : α ≃ β) (h' : α' ≃ β') (y : F β β') :
(mapEquiv F h h' : F α α' ≃ F β β').symm y = bimap h.symm h'.symm y :=
rfl
#align bifunctor.map_equiv_symm_apply Bifunctor.mapEquiv_symm_apply
+-/
+#print Bifunctor.mapEquiv_refl_refl /-
@[simp]
theorem mapEquiv_refl_refl : mapEquiv F (Equiv.refl α) (Equiv.refl α') = Equiv.refl (F α α') :=
by
ext x
simp [id_bimap]
#align bifunctor.map_equiv_refl_refl Bifunctor.mapEquiv_refl_refl
+-/
end Bifunctor
mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5
@@ -68,7 +68,7 @@ end Functor
namespace Bifunctor
-variable {α' β' : Type v} (F : Type u → Type v → Type w) [Bifunctor F] [IsLawfulBifunctor F]
+variable {α' β' : Type v} (F : Type u → Type v → Type w) [Bifunctor F] [LawfulBifunctor F]
/-- Apply a bifunctor to a pair of `equiv`s. -/
def mapEquiv (h : α ≃ β) (h' : α' ≃ β') : F α α' ≃ F β β'
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -14,12 +14,12 @@ import Mathlib.Logic.Equiv.Defs
We define
```lean
def Functor.mapEquiv (f : Type u → Type v) [Functor f] [LawfulFunctor f] :
- α ≃ β → f α ≃ f β
+ α ≃ β → f α ≃ f β
```
and
```lean
def Bifunctor.mapEquiv (F : Type u → Type v → Type w) [Bifunctor F] [LawfulBifunctor F] :
- α ≃ β → α' ≃ β' → F α α' ≃ F β β'
+ α ≃ β → α' ≃ β' → F α α' ≃ F β β'
```
-/
@@ -2,15 +2,12 @@
Copyright (c) 2019 Johan Commelin. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Johan Commelin, Simon Hudon, Scott Morrison
-
-! This file was ported from Lean 3 source module logic.equiv.functor
-! leanprover-community/mathlib commit 9407b03373c8cd201df99d6bc5514fc2db44054f
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Control.Bifunctor
import Mathlib.Logic.Equiv.Defs
+#align_import logic.equiv.functor from "leanprover-community/mathlib"@"9407b03373c8cd201df99d6bc5514fc2db44054f"
+
/-!
# Functor and bifunctors can be applied to `Equiv`s.
All dependencies are ported!