algebra.group.commutator
⟷
Mathlib.Algebra.Group.Commutator
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) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-/
-import Mathbin.Algebra.Group.Defs
-import Mathbin.Data.Bracket
+import Algebra.Group.Defs
+import Data.Bracket
#align_import algebra.group.commutator from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345
@@ -2,15 +2,12 @@
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-
-! This file was ported from Lean 3 source module algebra.group.commutator
-! 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.Group.Defs
import Mathbin.Data.Bracket
+#align_import algebra.group.commutator from "leanprover-community/mathlib"@"448144f7ae193a8990cb7473c9e9a01990f64ac7"
+
/-!
# The bracket on a group given by commutator.
mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423
@@ -26,8 +26,10 @@ instance commutatorElement {G : Type _} [Group G] : Bracket G G :=
#align commutator_element commutatorElement
-/
+#print commutatorElement_def /-
theorem commutatorElement_def {G : Type _} [Group G] (g₁ g₂ : G) :
⁅g₁, g₂⁆ = g₁ * g₂ * g₁⁻¹ * g₂⁻¹ :=
rfl
#align commutator_element_def commutatorElement_def
+-/
mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb
@@ -26,12 +26,6 @@ instance commutatorElement {G : Type _} [Group G] : Bracket G G :=
#align commutator_element commutatorElement
-/
-/- warning: commutator_element_def -> commutatorElement_def is a dubious translation:
-lean 3 declaration is
- forall {G : Type.{u1}} [_inst_1 : Group.{u1} G] (g₁ : G) (g₂ : G), Eq.{succ u1} G (Bracket.bracket.{u1, u1} G G (commutatorElement.{u1} G _inst_1) g₁ g₂) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toHasMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toHasMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toHasMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) g₁ g₂) (Inv.inv.{u1} G (DivInvMonoid.toHasInv.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) g₁)) (Inv.inv.{u1} G (DivInvMonoid.toHasInv.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) g₂))
-but is expected to have type
- forall {G : Type.{u1}} [_inst_1 : Group.{u1} G] (g₁ : G) (g₂ : G), Eq.{succ u1} G (Bracket.bracket.{u1, u1} G G (commutatorElement.{u1} G _inst_1) g₁ g₂) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) (HMul.hMul.{u1, u1, u1} G G G (instHMul.{u1} G (MulOneClass.toMul.{u1} G (Monoid.toMulOneClass.{u1} G (DivInvMonoid.toMonoid.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1))))) g₁ g₂) (Inv.inv.{u1} G (DivInvMonoid.toInv.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) g₁)) (Inv.inv.{u1} G (DivInvMonoid.toInv.{u1} G (Group.toDivInvMonoid.{u1} G _inst_1)) g₂))
-Case conversion may be inaccurate. Consider using '#align commutator_element_def commutatorElement_defₓ'. -/
theorem commutatorElement_def {G : Type _} [Group G] (g₁ g₂ : G) :
⁅g₁, g₂⁆ = g₁ * g₂ * g₁⁻¹ * g₂⁻¹ :=
rfl
mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc
@@ -18,6 +18,6 @@ instance commutatorElement {G : Type*} [Group G] : Bracket G G :=
#align commutator_element commutatorElement
theorem commutatorElement_def {G : Type*} [Group G] (g₁ g₂ : G) :
- ⁅g₁, g₂⁆ = g₁ * g₂ * g₁⁻¹ * g₂⁻¹ :=
+ ⁅g₁, g₂⁆ = g₁ * g₂ * g₁⁻¹ * g₂⁻¹ :=
rfl
#align commutator_element_def commutatorElement_def
Type _
and Sort _
(#6499)
We remove all possible occurences of Type _
and Sort _
in favor of Type*
and Sort*
.
This has nice performance benefits.
@@ -13,11 +13,11 @@ import Mathlib.Data.Bracket
-/
/-- The commutator of two elements `g₁` and `g₂`. -/
-instance commutatorElement {G : Type _} [Group G] : Bracket G G :=
+instance commutatorElement {G : Type*} [Group G] : Bracket G G :=
⟨fun g₁ g₂ ↦ g₁ * g₂ * g₁⁻¹ * g₂⁻¹⟩
#align commutator_element commutatorElement
-theorem commutatorElement_def {G : Type _} [Group G] (g₁ g₂ : G) :
+theorem commutatorElement_def {G : Type*} [Group G] (g₁ g₂ : G) :
⁅g₁, g₂⁆ = g₁ * g₂ * g₁⁻¹ * g₂⁻¹ :=
rfl
#align commutator_element_def commutatorElement_def
@@ -2,15 +2,12 @@
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
-
-! This file was ported from Lean 3 source module algebra.group.commutator
-! leanprover-community/mathlib commit c4658a649d216f57e99621708b09dcb3dcccbd23
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
-/
import Mathlib.Algebra.Group.Defs
import Mathlib.Data.Bracket
+#align_import algebra.group.commutator from "leanprover-community/mathlib"@"c4658a649d216f57e99621708b09dcb3dcccbd23"
+
/-!
# The bracket on a group given by commutator.
-/
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
@@ -2,6 +2,11 @@
Copyright (c) 2022 Thomas Browning. All rights reserved.
Released under Apache 2.0 license as described in the file LICENSE.
Authors: Thomas Browning
+
+! This file was ported from Lean 3 source module algebra.group.commutator
+! leanprover-community/mathlib commit c4658a649d216f57e99621708b09dcb3dcccbd23
+! Please do not edit these lines, except to modify the commit id
+! if you have ported upstream changes.
-/
import Mathlib.Algebra.Group.Defs
import Mathlib.Data.Bracket
All dependencies are ported!