algebra.hom.commute
⟷
Mathlib.Algebra.Group.Commute.Hom
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.
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(no changes)
(last sync)
mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83
@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
-import Algebra.Hom.Group
-import Algebra.Group.Commute
+import Algebra.Group.Hom.Defs
+import Algebra.Group.Commute.Defs
#align_import algebra.hom.commute from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451
@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
-import Mathbin.Algebra.Hom.Group
-import Mathbin.Algebra.Group.Commute
+import Algebra.Hom.Group
+import Algebra.Group.Commute
#align_import algebra.hom.commute from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -3,15 +3,12 @@ Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-
-! This file was ported from Lean 3 source module algebra.hom.commute
-! leanprover-community/mathlib commit 448144f7ae193a8990cb7473c9e9a01990f64ac7
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathbin.Algebra.Hom.Group
import Mathbin.Algebra.Group.Commute
+#align_import algebra.hom.commute from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# Multiplicative homomorphisms respect semiconjugation and commutation.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -24,17 +24,21 @@ section Commute
variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
+#print SemiconjBy.map /-
@[simp, to_additive]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
SemiconjBy (f a) (f x) (f y) := by simpa only [SemiconjBy, map_mul] using congr_arg f h
#align semiconj_by.map SemiconjBy.map
#align add_semiconj_by.map AddSemiconjBy.map
+-/
+#print Commute.map /-
@[simp, to_additive]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
h.map f
#align commute.map Commute.map
#align add_commute.map AddCommute.map
+-/
end Commute
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -24,24 +24,12 @@ section Commute
variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
-/- warning: semiconj_by.map -> SemiconjBy.map is a dubious translation:
-lean 3 declaration is
- forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f a) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
-but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
-Case conversion may be inaccurate. Consider using '#align semiconj_by.map SemiconjBy.mapₓ'. -/
@[simp, to_additive]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
SemiconjBy (f a) (f x) (f y) := by simpa only [SemiconjBy, map_mul] using congr_arg f h
#align semiconj_by.map SemiconjBy.map
#align add_semiconj_by.map AddSemiconjBy.map
-/- warning: commute.map -> Commute.map is a dubious translation:
-lean 3 declaration is
- forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
-but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
-Case conversion may be inaccurate. Consider using '#align commute.map Commute.mapₓ'. -/
@[simp, to_additive]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
h.map f
mathlib commit https://github.com/leanprover-community/mathlib/commit/95a87616d63b3cb49d3fe678d416fbe9c4217bf4
@@ -28,7 +28,7 @@ variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f a) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align semiconj_by.map SemiconjBy.mapₓ'. -/
@[simp, to_additive]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
@@ -40,7 +40,7 @@ protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f :
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2397 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align commute.map Commute.mapₓ'. -/
@[simp, to_additive]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/3180fab693e2cee3bff62675571264cb8778b212
@@ -28,7 +28,7 @@ variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f a) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align semiconj_by.map SemiconjBy.mapₓ'. -/
@[simp, to_additive]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
@@ -40,7 +40,7 @@ protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f :
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2391 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align commute.map Commute.mapₓ'. -/
@[simp, to_additive]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/38f16f960f5006c6c0c2bac7b0aba5273188f4e5
@@ -28,7 +28,7 @@ variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f a) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {a : M} {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (SemiconjBy.{u2} M _inst_1 a x y) -> (forall (f : F), SemiconjBy.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) a) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f a) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align semiconj_by.map SemiconjBy.mapₓ'. -/
@[simp, to_additive]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
@@ -40,7 +40,7 @@ protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f :
lean 3 declaration is
forall {F : Type.{u1}} {M : Type.{u2}} {N : Type.{u3}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u3} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u1, u2, u3} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u3} N _inst_2 (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f x) (coeFn.{succ u1, max (succ u2) (succ u3)} F (fun (_x : F) => M -> N) (FunLike.hasCoeToFun.{succ u1, succ u2, succ u3} F M (fun (_x : M) => N) (MulHomClass.toFunLike.{u1, u2, u3} F M N _inst_1 _inst_2 _inst_3)) f y))
but is expected to have type
- forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2398 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
+ forall {F : Type.{u3}} {M : Type.{u2}} {N : Type.{u1}} [_inst_1 : Mul.{u2} M] [_inst_2 : Mul.{u1} N] {x : M} {y : M} [_inst_3 : MulHomClass.{u3, u2, u1} F M N _inst_1 _inst_2], (Commute.{u2} M _inst_1 x y) -> (forall (f : F), Commute.{u1} ((fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) x) _inst_2 (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f x) (FunLike.coe.{succ u3, succ u2, succ u1} F M (fun (_x : M) => (fun (x._@.Mathlib.Algebra.Hom.Group._hyg.2372 : M) => N) _x) (MulHomClass.toFunLike.{u3, u2, u1} F M N _inst_1 _inst_2 _inst_3) f y))
Case conversion may be inaccurate. Consider using '#align commute.map Commute.mapₓ'. -/
@[simp, to_additive]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
The FunLike hierarchy is very big and gets scanned through each time we need a coercion (via the CoeFun
instance). It looks like unbundled inheritance suits Lean 4 better here. The only class that still extends FunLike
is EquivLike
, since that has a custom coe_injective'
field that is easier to implement. All other classes should take FunLike
or EquivLike
as a parameter.
Previously, morphism classes would be Type
-valued and extend FunLike
:
/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
extends FunLike F A B :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))
After this PR, they should be Prop
-valued and take FunLike
as a parameter:
/-- `MyHomClass F A B` states that `F` is a type of `MyClass.op`-preserving morphisms.
You should extend this class when you extend `MyHom`. -/
class MyHomClass (F : Type*) (A B : outParam <| Type*) [MyClass A] [MyClass B]
[FunLike F A B] : Prop :=
(map_op : ∀ (f : F) (x y : A), f (MyClass.op x y) = MyClass.op (f x) (f y))
(Note that A B
stay marked as outParam
even though they are not purely required to be so due to the FunLike
parameter already filling them in. This is required to see through type synonyms, which is important in the category theory library. Also, I think keeping them as outParam
is slightly faster.)
Similarly, MyEquivClass
should take EquivLike
as a parameter.
As a result, every mention of [MyHomClass F A B]
should become [FunLike F A B] [MyHomClass F A B]
.
While overall this gives some great speedups, there are some cases that are noticeably slower. In particular, a failing application of a lemma such as map_mul
is more expensive. This is due to suboptimal processing of arguments. For example:
variable [FunLike F M N] [Mul M] [Mul N] (f : F) (x : M) (y : M)
theorem map_mul [MulHomClass F M N] : f (x * y) = f x * f y
example [AddHomClass F A B] : f (x * y) = f x * f y := map_mul f _ _
Before this PR, applying map_mul f
gives the goals [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]
. Since M
and N
are out_param
s, [MulHomClass F ?M ?N]
is synthesized first, supplies values for ?M
and ?N
and then the Mul M
and Mul N
instances can be found.
After this PR, the goals become [FunLike F ?M ?N] [Mul ?M] [Mul ?N] [MulHomClass F ?M ?N]
. Now [FunLike F ?M ?N]
is synthesized first, supplies values for ?M
and ?N
and then the Mul M
and Mul N
instances can be found, before trying MulHomClass F M N
which fails. Since the Mul
hierarchy is very big, this can be slow to fail, especially when there is no such Mul
instance.
A long-term but harder to achieve solution would be to specify the order in which instance goals get solved. For example, we'd like to change the arguments to map_mul
to look like [FunLike F M N] [Mul M] [Mul N] [highPriority <| MulHomClass F M N]
because MulHomClass
fails or succeeds much faster than the others.
As a consequence, the simpNF
linter is much slower since by design it tries and fails to apply many map_
lemmas. The same issue occurs a few times in existing calls to simp [map_mul]
, where map_mul
is tried "too soon" and fails. Thanks to the speedup of leanprover/lean4#2478 the impact is very limited, only in files that already were close to the timeout.
simp
not firing sometimesThis affects map_smulₛₗ
and related definitions. For simp
lemmas Lean apparently uses a slightly different mechanism to find instances, so that rw
can find every argument to map_smulₛₗ
successfully but simp
can't: leanprover/lean4#3701.
Especially in the category theory library, we might sometimes have a type A
which is also accessible as a synonym (Bundled A hA).1
. Instance synthesis doesn't always work if we have f : A →* B
but x * y : (Bundled A hA).1
or vice versa. This seems to be mostly fixed by keeping A B
as outParam
s in MulHomClass F A B
. (Presumably because Lean will do a definitional check A =?= (Bundled A hA).1
instead of using the syntax in the discrimination tree.)
The timeouts can be worked around for now by specifying which map_mul
we mean, either as map_mul f
for some explicit f
, or as e.g. MonoidHomClass.map_mul
.
map_smulₛₗ
not firing as simp
lemma can be worked around by going back to the pre-FunLike situation and making LinearMap.map_smulₛₗ
a simp
lemma instead of the generic map_smulₛₗ
. Writing simp [map_smulₛₗ _]
also works.
Co-authored-by: Matthew Ballard <matt@mrb.email> Co-authored-by: Scott Morrison <scott.morrison@gmail.com> Co-authored-by: Scott Morrison <scott@tqft.net> Co-authored-by: Anne Baanen <Vierkantor@users.noreply.github.com>
@@ -16,7 +16,7 @@ import Mathlib.Algebra.Group.Hom.Defs
section Commute
-variable {F M N : Type*} [Mul M] [Mul N] {a x y : M}
+variable {F M N : Type*} [Mul M] [Mul N] {a x y : M} [FunLike F M N]
@[to_additive (attr := simp)]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
Hom
and file name (#8095)
I believe the file defining a type of morphisms belongs alongside the file defining the structure this morphism works on. So I would like to reorganize the files in the Mathlib.Algebra.Hom
folder so that e.g. Mathlib.Algebra.Hom.Ring
becomes Mathlib.Algebra.Ring.Hom
and Mathlib.Algebra.Hom.NonUnitalAlg
becomes Mathlib.Algebra.Algebra.NonUnitalHom
.
While fixing the imports I went ahead and sorted them for good luck.
The full list of changes is: renamed: Mathlib/Algebra/Hom/NonUnitalAlg.lean -> Mathlib/Algebra/Algebra/NonUnitalHom.lean renamed: Mathlib/Algebra/Hom/Aut.lean -> Mathlib/Algebra/Group/Aut.lean renamed: Mathlib/Algebra/Hom/Commute.lean -> Mathlib/Algebra/Group/Commute/Hom.lean renamed: Mathlib/Algebra/Hom/Embedding.lean -> Mathlib/Algebra/Group/Embedding.lean renamed: Mathlib/Algebra/Hom/Equiv/Basic.lean -> Mathlib/Algebra/Group/Equiv/Basic.lean renamed: Mathlib/Algebra/Hom/Equiv/TypeTags.lean -> Mathlib/Algebra/Group/Equiv/TypeTags.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/Basic.lean -> Mathlib/Algebra/Group/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Equiv/Units/GroupWithZero.lean -> Mathlib/Algebra/GroupWithZero/Units/Equiv.lean renamed: Mathlib/Algebra/Hom/Freiman.lean -> Mathlib/Algebra/Group/Freiman.lean renamed: Mathlib/Algebra/Hom/Group/Basic.lean -> Mathlib/Algebra/Group/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Group/Defs.lean -> Mathlib/Algebra/Group/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/GroupAction.lean -> Mathlib/GroupTheory/GroupAction/Hom.lean renamed: Mathlib/Algebra/Hom/GroupInstances.lean -> Mathlib/Algebra/Group/Hom/Instances.lean renamed: Mathlib/Algebra/Hom/Iterate.lean -> Mathlib/Algebra/GroupPower/IterateHom.lean renamed: Mathlib/Algebra/Hom/Centroid.lean -> Mathlib/Algebra/Ring/CentroidHom.lean renamed: Mathlib/Algebra/Hom/Ring/Basic.lean -> Mathlib/Algebra/Ring/Hom/Basic.lean renamed: Mathlib/Algebra/Hom/Ring/Defs.lean -> Mathlib/Algebra/Ring/Hom/Defs.lean renamed: Mathlib/Algebra/Hom/Units.lean -> Mathlib/Algebra/Group/Units/Hom.lean
Zulip thread: https://leanprover.zulipchat.com/#narrow/stream/287929-mathlib4/topic/Reorganizing.20.60Mathlib.2EAlgebra.2EHom.60
@@ -4,8 +4,8 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
-import Mathlib.Algebra.Hom.Group.Defs
import Mathlib.Algebra.Group.Commute.Defs
+import Mathlib.Algebra.Group.Hom.Defs
#align_import algebra.hom.commute from "leanprover-community/mathlib"@"6eb334bd8f3433d5b08ba156b8ec3e6af47e1904"
@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-/
-import Mathlib.Algebra.Hom.Group
+import Mathlib.Algebra.Hom.Group.Defs
import Mathlib.Algebra.Group.Commute.Defs
#align_import algebra.hom.commute from "leanprover-community/mathlib"@"6eb334bd8f3433d5b08ba156b8ec3e6af47e1904"
@@ -5,7 +5,7 @@ Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hu
Johannes Hölzl, Yury Kudryashov
-/
import Mathlib.Algebra.Hom.Group
-import Mathlib.Algebra.Group.Commute
+import Mathlib.Algebra.Group.Commute.Defs
#align_import algebra.hom.commute from "leanprover-community/mathlib"@"6eb334bd8f3433d5b08ba156b8ec3e6af47e1904"
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -16,7 +16,7 @@ import Mathlib.Algebra.Group.Commute
section Commute
-variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
+variable {F M N : Type*} [Mul M] [Mul N] {a x y : M}
@[to_additive (attr := simp)]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
Briefly during the port we were adding "Ported by" headers, but only ~60 / 3000 files ended up with such a header.
I propose deleting them.
We could consider adding these uniformly via a script, as part of the great history rewrite...?
Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
@@ -3,7 +3,6 @@ Copyright (c) 2018 Patrick Massot. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
-Ported by: Frédéric Dupuis
-/
import Mathlib.Algebra.Hom.Group
import Mathlib.Algebra.Group.Commute
@@ -4,15 +4,12 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
Ported by: Frédéric Dupuis
-
-! This file was ported from Lean 3 source module algebra.hom.commute
-! leanprover-community/mathlib commit 6eb334bd8f3433d5b08ba156b8ec3e6af47e1904
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Hom.Group
import Mathlib.Algebra.Group.Commute
+#align_import algebra.hom.commute from "leanprover-community/mathlib"@"6eb334bd8f3433d5b08ba156b8ec3e6af47e1904"
+
/-!
# Multiplicative homomorphisms respect semiconjugation and commutation.
-/
Commute.of_map
(#5316)
elements commute if their images under and injective MulHom
do.
@@ -34,4 +34,14 @@ protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Co
#align commute.map Commute.map
#align add_commute.map AddCommute.map
+@[to_additive (attr := simp)]
+protected theorem SemiconjBy.of_map [MulHomClass F M N] (f : F) (hf : Function.Injective f)
+ (h : SemiconjBy (f a) (f x) (f y)) : SemiconjBy a x y :=
+ hf (by simpa only [SemiconjBy, map_mul] using h)
+
+@[to_additive (attr := simp)]
+theorem Commute.of_map [MulHomClass F M N] {f : F} (hf : Function.Injective f)
+ (h : Commute (f x) (f y)) : Commute x y :=
+ hf (by simpa only [map_mul] using h.eq)
+
end Commute
@@ -26,10 +26,12 @@ variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
SemiconjBy (f a) (f x) (f y) := by simpa only [SemiconjBy, map_mul] using congr_arg f h
#align semiconj_by.map SemiconjBy.map
+#align add_semiconj_by.map AddSemiconjBy.map
@[to_additive (attr := simp)]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
SemiconjBy.map h f
#align commute.map Commute.map
+#align add_commute.map AddCommute.map
end Commute
to_additive
is @[to_additive (attrs := simp, ext, simps)]
simp
and simps
attributes to the to_additive
-dictionary.simp
-attributes). In particular it's possible that norm_cast
might generate some auxiliary declarations.to_additive
and simps
from the Simps
file to the toAdditive
file for uniformity.@[reassoc]
Co-authored-by: Johan Commelin <johan@commelin.net> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>
@@ -22,12 +22,12 @@ section Commute
variable {F M N : Type _} [Mul M] [Mul N] {a x y : M}
-@[simp, to_additive]
+@[to_additive (attr := simp)]
protected theorem SemiconjBy.map [MulHomClass F M N] (h : SemiconjBy a x y) (f : F) :
SemiconjBy (f a) (f x) (f y) := by simpa only [SemiconjBy, map_mul] using congr_arg f h
#align semiconj_by.map SemiconjBy.map
-@[simp, to_additive]
+@[to_additive (attr := simp)]
protected theorem Commute.map [MulHomClass F M N] (h : Commute x y) (f : F) : Commute (f x) (f y) :=
SemiconjBy.map h f
#align commute.map Commute.map
The script used to do this is included. The yaml file was obtained from https://raw.githubusercontent.com/wiki/leanprover-community/mathlib/mathlib4-port-status.md
@@ -4,6 +4,11 @@ Released under Apache 2.0 license as described in the file LICENSE.
Authors: Patrick Massot, Kevin Buzzard, Scott Morrison, Johan Commelin, Chris Hughes,
Johannes Hölzl, Yury Kudryashov
Ported by: Frédéric Dupuis
+
+! This file was ported from Lean 3 source module algebra.hom.commute
+! leanprover-community/mathlib commit 6eb334bd8f3433d5b08ba156b8ec3e6af47e1904
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Algebra.Hom.Group
import Mathlib.Algebra.Group.Commute
All dependencies are ported!