algebra.lie.skew_adjoint | Mathlib porting status

Changes since the initial port

The following section lists changes to this file in mathlib3 and mathlib4 that occured after the initial port. Most recent changes are shown first. Hovering over a commit will show all commits associated with the same mathlib3 commit.

Changes in mathlib3

075b3f7d

(last sync)

Changes in mathlib3port

mathlib3

mathlib3port

36938f77

bump to nightly-2024-04-10-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

cd0c1af5

Diff

@@ -53,7 +53,7 @@ theorem LinearMap.BilinForm.isSkewAdjoint_bracket (f g : Module.End R M)
   rw [mem_skew_adjoint_submodule] at *
   have hfg : is_adjoint_pair B B (f * g) (g * f) := by rw [← neg_mul_neg g f]; exact hf.mul hg
   have hgf : is_adjoint_pair B B (g * f) (f * g) := by rw [← neg_mul_neg f g]; exact hg.mul hf
-  change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
+  change LinearMap.BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
 #align bilin_form.is_skew_adjoint_bracket LinearMap.BilinForm.isSkewAdjoint_bracket
 -/
@@ -78,7 +78,7 @@ def skewAdjointLieSubalgebraEquiv :
   ext f
   simp only [LieSubalgebra.mem_coe, Submodule.mem_map_equiv, LieSubalgebra.mem_map_submodule,
     coe_coe]
-  exact (BilinForm.isPairSelfAdjoint_equiv (-B) B e f).symm
+  exact (LinearMap.BilinForm.isPairSelfAdjoint_equiv (-B) B e f).symm
 #align skew_adjoint_lie_subalgebra_equiv skewAdjointLieSubalgebraEquiv
 -/

36938f77

bump to nightly-2024-03-17-08

mathlib commit https://github.com/leanprover-community/mathlib/commit/65a1391a0106c9204fe45bc73a039f056558cb83

22f01ce4

Diff

@@ -45,16 +45,17 @@ variable {R : Type u} {M : Type v} [CommRing R] [AddCommGroup M] [Module R M]
 
 variable (B : BilinForm R M)
 
-#print BilinForm.isSkewAdjoint_bracket /-
-theorem BilinForm.isSkewAdjoint_bracket (f g : Module.End R M) (hf : f ∈ B.skewAdjointSubmodule)
-    (hg : g ∈ B.skewAdjointSubmodule) : ⁅f, g⁆ ∈ B.skewAdjointSubmodule :=
+#print LinearMap.BilinForm.isSkewAdjoint_bracket /-
+theorem LinearMap.BilinForm.isSkewAdjoint_bracket (f g : Module.End R M)
+    (hf : f ∈ B.skewAdjointSubmodule) (hg : g ∈ B.skewAdjointSubmodule) :
+    ⁅f, g⁆ ∈ B.skewAdjointSubmodule :=
   by
   rw [mem_skew_adjoint_submodule] at *
   have hfg : is_adjoint_pair B B (f * g) (g * f) := by rw [← neg_mul_neg g f]; exact hf.mul hg
   have hgf : is_adjoint_pair B B (g * f) (f * g) := by rw [← neg_mul_neg f g]; exact hg.mul hf
   change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
-#align bilin_form.is_skew_adjoint_bracket BilinForm.isSkewAdjoint_bracket
+#align bilin_form.is_skew_adjoint_bracket LinearMap.BilinForm.isSkewAdjoint_bracket
 -/
 
 #print skewAdjointLieSubalgebra /-
@@ -117,8 +118,7 @@ theorem Matrix.isSkewAdjoint_bracket (A B : Matrix n n R) (hA : A ∈ skewAdjoin
     (hB : B ∈ skewAdjointMatricesSubmodule J) : ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J :=
   by
   simp only [mem_skewAdjointMatricesSubmodule] at *
-  change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA ;
-  change Bᵀ ⬝ J = J ⬝ (-B) at hB 
+  change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA; change Bᵀ ⬝ J = J ⬝ (-B) at hB
   simp only [← Matrix.hMul_eq_hMul] at *
   rw [Matrix.lie_transpose, LieRing.of_associative_ring_bracket,
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc, ←

36938f77

bump to nightly-2023-09-24-06

mathlib commit https://github.com/leanprover-community/mathlib/commit/ce64cd319bb6b3e82f31c2d38e79080d377be451

5655435f

Diff

@@ -3,8 +3,8 @@ Copyright (c) 2020 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
-import Mathbin.Algebra.Lie.Matrix
-import Mathbin.LinearAlgebra.Matrix.BilinearForm
+import Algebra.Lie.Matrix
+import LinearAlgebra.Matrix.BilinearForm
 
 #align_import algebra.lie.skew_adjoint from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"

36938f77

bump to nightly-2023-08-17-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/32a7e535287f9c73f2e4d2aef306a39190f0b504

60285dcc

Diff

@@ -119,7 +119,7 @@ theorem Matrix.isSkewAdjoint_bracket (A B : Matrix n n R) (hA : A ∈ skewAdjoin
   simp only [mem_skewAdjointMatricesSubmodule] at *
   change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA ;
   change Bᵀ ⬝ J = J ⬝ (-B) at hB 
-  simp only [← Matrix.mul_eq_mul] at *
+  simp only [← Matrix.hMul_eq_hMul] at *
   rw [Matrix.lie_transpose, LieRing.of_associative_ring_bracket,
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc, ←
     mul_assoc, hA, hB]
@@ -179,7 +179,7 @@ def skewAdjointMatricesLieSubalgebraEquivTranspose {m : Type w} [DecidableEq m]
     (by
       ext A
       suffices J.is_skew_adjoint (e.symm A) ↔ (e J).IsSkewAdjoint A by simpa [this]
-      simp [Matrix.IsSkewAdjoint, Matrix.IsAdjointPair, ← Matrix.mul_eq_mul, ← h, ←
+      simp [Matrix.IsSkewAdjoint, Matrix.IsAdjointPair, ← Matrix.hMul_eq_hMul, ← h, ←
         Function.Injective.eq_iff e.injective])
 #align skew_adjoint_matrices_lie_subalgebra_equiv_transpose skewAdjointMatricesLieSubalgebraEquivTranspose
 -/

36938f77

bump to nightly-2023-07-20-09

mathlib commit https://github.com/leanprover-community/mathlib/commit/8ea5598db6caeddde6cb734aa179cc2408dbd345

9c56d0dd

Diff

@@ -2,15 +2,12 @@
 Copyright (c) 2020 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.skew_adjoint
-! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathbin.Algebra.Lie.Matrix
 import Mathbin.LinearAlgebra.Matrix.BilinearForm
 
+#align_import algebra.lie.skew_adjoint from "leanprover-community/mathlib"@"36938f775671ff28bea1c0310f1608e4afbb22e0"
+
 /-!
 # Lie algebras of skew-adjoint endomorphisms of a bilinear form

36938f77

bump to nightly-2023-06-13-21

mathlib commit https://github.com/leanprover-community/mathlib/commit/9fb8964792b4237dac6200193a0d533f1b3f7423

829520ac

Diff

@@ -48,6 +48,7 @@ variable {R : Type u} {M : Type v} [CommRing R] [AddCommGroup M] [Module R M]
 
 variable (B : BilinForm R M)
 
+#print BilinForm.isSkewAdjoint_bracket /-
 theorem BilinForm.isSkewAdjoint_bracket (f g : Module.End R M) (hf : f ∈ B.skewAdjointSubmodule)
     (hg : g ∈ B.skewAdjointSubmodule) : ⁅f, g⁆ ∈ B.skewAdjointSubmodule :=
   by
@@ -57,15 +58,19 @@ theorem BilinForm.isSkewAdjoint_bracket (f g : Module.End R M) (hf : f ∈ B.ske
   change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
 #align bilin_form.is_skew_adjoint_bracket BilinForm.isSkewAdjoint_bracket
+-/
 
+#print skewAdjointLieSubalgebra /-
 /-- Given an `R`-module `M`, equipped with a bilinear form, the skew-adjoint endomorphisms form a
 Lie subalgebra of the Lie algebra of endomorphisms. -/
 def skewAdjointLieSubalgebra : LieSubalgebra R (Module.End R M) :=
   { B.skewAdjointSubmodule with lie_mem' := B.isSkewAdjoint_bracket }
 #align skew_adjoint_lie_subalgebra skewAdjointLieSubalgebra
+-/
 
 variable {N : Type w} [AddCommGroup N] [Module R N] (e : N ≃ₗ[R] M)
 
+#print skewAdjointLieSubalgebraEquiv /-
 /-- An equivalence of modules with bilinear forms gives equivalence of Lie algebras of skew-adjoint
 endomorphisms. -/
 def skewAdjointLieSubalgebraEquiv :
@@ -77,17 +82,22 @@ def skewAdjointLieSubalgebraEquiv :
     coe_coe]
   exact (BilinForm.isPairSelfAdjoint_equiv (-B) B e f).symm
 #align skew_adjoint_lie_subalgebra_equiv skewAdjointLieSubalgebraEquiv
+-/
 
+#print skewAdjointLieSubalgebraEquiv_apply /-
 @[simp]
 theorem skewAdjointLieSubalgebraEquiv_apply (f : skewAdjointLieSubalgebra (B.comp ↑e ↑e)) :
     ↑(skewAdjointLieSubalgebraEquiv B e f) = e.lieConj f := by simp [skewAdjointLieSubalgebraEquiv]
 #align skew_adjoint_lie_subalgebra_equiv_apply skewAdjointLieSubalgebraEquiv_apply
+-/
 
+#print skewAdjointLieSubalgebraEquiv_symm_apply /-
 @[simp]
 theorem skewAdjointLieSubalgebraEquiv_symm_apply (f : skewAdjointLieSubalgebra B) :
     ↑((skewAdjointLieSubalgebraEquiv B e).symm f) = e.symm.lieConj f := by
   simp [skewAdjointLieSubalgebraEquiv]
 #align skew_adjoint_lie_subalgebra_equiv_symm_apply skewAdjointLieSubalgebraEquiv_symm_apply
+-/
 
 end SkewAdjointEndomorphisms
 
@@ -99,10 +109,13 @@ variable {R : Type u} {n : Type w} [CommRing R] [DecidableEq n] [Fintype n]
 
 variable (J : Matrix n n R)
 
+#print Matrix.lie_transpose /-
 theorem Matrix.lie_transpose (A B : Matrix n n R) : ⁅A, B⁆ᵀ = ⁅Bᵀ, Aᵀ⁆ :=
   show (A * B - B * A)ᵀ = Bᵀ * Aᵀ - Aᵀ * Bᵀ by simp
 #align matrix.lie_transpose Matrix.lie_transpose
+-/
 
+#print Matrix.isSkewAdjoint_bracket /-
 theorem Matrix.isSkewAdjoint_bracket (A B : Matrix n n R) (hA : A ∈ skewAdjointMatricesSubmodule J)
     (hB : B ∈ skewAdjointMatricesSubmodule J) : ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J :=
   by
@@ -115,11 +128,14 @@ theorem Matrix.isSkewAdjoint_bracket (A B : Matrix n n R) (hA : A ∈ skewAdjoin
     mul_assoc, hA, hB]
   noncomm_ring
 #align matrix.is_skew_adjoint_bracket Matrix.isSkewAdjoint_bracket
+-/
 
+#print skewAdjointMatricesLieSubalgebra /-
 /-- The Lie subalgebra of skew-adjoint square matrices corresponding to a square matrix `J`. -/
 def skewAdjointMatricesLieSubalgebra : LieSubalgebra R (Matrix n n R) :=
   { skewAdjointMatricesSubmodule J with lie_mem' := J.isSkewAdjoint_bracket }
 #align skew_adjoint_matrices_lie_subalgebra skewAdjointMatricesLieSubalgebra
+-/
 
 #print mem_skewAdjointMatricesLieSubalgebra /-
 @[simp]
@@ -129,6 +145,7 @@ theorem mem_skewAdjointMatricesLieSubalgebra (A : Matrix n n R) :
 #align mem_skew_adjoint_matrices_lie_subalgebra mem_skewAdjointMatricesLieSubalgebra
 -/
 
+#print skewAdjointMatricesLieSubalgebraEquiv /-
 /-- An invertible matrix `P` gives a Lie algebra equivalence between those endomorphisms that are
 skew-adjoint with respect to a square matrix `J` and those with respect to `PᵀJP`. -/
 def skewAdjointMatricesLieSubalgebraEquiv (P : Matrix n n R) (h : Invertible P) :
@@ -145,13 +162,17 @@ def skewAdjointMatricesLieSubalgebraEquiv (P : Matrix n n R) (h : Invertible P)
         exact this
       simp [Matrix.IsSkewAdjoint, J.is_adjoint_pair_equiv' _ _ P (isUnit_of_invertible P)])
 #align skew_adjoint_matrices_lie_subalgebra_equiv skewAdjointMatricesLieSubalgebraEquiv
+-/
 
+#print skewAdjointMatricesLieSubalgebraEquiv_apply /-
 theorem skewAdjointMatricesLieSubalgebraEquiv_apply (P : Matrix n n R) (h : Invertible P)
     (A : skewAdjointMatricesLieSubalgebra J) :
     ↑(skewAdjointMatricesLieSubalgebraEquiv J P h A) = P⁻¹ ⬝ ↑A ⬝ P := by
   simp [skewAdjointMatricesLieSubalgebraEquiv]
 #align skew_adjoint_matrices_lie_subalgebra_equiv_apply skewAdjointMatricesLieSubalgebraEquiv_apply
+-/
 
+#print skewAdjointMatricesLieSubalgebraEquivTranspose /-
 /-- An equivalence of matrix algebras commuting with the transpose endomorphisms restricts to an
 equivalence of Lie algebras of skew-adjoint matrices. -/
 def skewAdjointMatricesLieSubalgebraEquivTranspose {m : Type w} [DecidableEq m] [Fintype m]
@@ -164,7 +185,9 @@ def skewAdjointMatricesLieSubalgebraEquivTranspose {m : Type w} [DecidableEq m]
       simp [Matrix.IsSkewAdjoint, Matrix.IsAdjointPair, ← Matrix.mul_eq_mul, ← h, ←
         Function.Injective.eq_iff e.injective])
 #align skew_adjoint_matrices_lie_subalgebra_equiv_transpose skewAdjointMatricesLieSubalgebraEquivTranspose
+-/
 
+#print skewAdjointMatricesLieSubalgebraEquivTranspose_apply /-
 @[simp]
 theorem skewAdjointMatricesLieSubalgebraEquivTranspose_apply {m : Type w} [DecidableEq m]
     [Fintype m] (e : Matrix n n R ≃ₐ[R] Matrix m m R) (h : ∀ A, (e A)ᵀ = e Aᵀ)
@@ -172,7 +195,9 @@ theorem skewAdjointMatricesLieSubalgebraEquivTranspose_apply {m : Type w} [Decid
     (skewAdjointMatricesLieSubalgebraEquivTranspose J e h A : Matrix m m R) = e A :=
   rfl
 #align skew_adjoint_matrices_lie_subalgebra_equiv_transpose_apply skewAdjointMatricesLieSubalgebraEquivTranspose_apply
+-/
 
+#print mem_skewAdjointMatricesLieSubalgebra_unit_smul /-
 theorem mem_skewAdjointMatricesLieSubalgebra_unit_smul (u : Rˣ) (J A : Matrix n n R) :
     A ∈ skewAdjointMatricesLieSubalgebra (u • J) ↔ A ∈ skewAdjointMatricesLieSubalgebra J :=
   by
@@ -182,6 +207,7 @@ theorem mem_skewAdjointMatricesLieSubalgebra_unit_smul (u : Rˣ) (J A : Matrix n
   · simpa using congr_arg (fun B => u⁻¹ • B) h
   · simp [h]
 #align mem_skew_adjoint_matrices_lie_subalgebra_unit_smul mem_skewAdjointMatricesLieSubalgebra_unit_smul
+-/
 
 end SkewAdjointMatrices

36938f77

bump to nightly-2023-06-07-03

mathlib commit https://github.com/leanprover-community/mathlib/commit/58a272265b5e05f258161260dd2c5d247213cbd3

831e78ce

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 
 ! This file was ported from Lean 3 source module algebra.lie.skew_adjoint
-! leanprover-community/mathlib commit 075b3f7d19b9da85a0b54b3e33055a74fc388dec
+! leanprover-community/mathlib commit 36938f775671ff28bea1c0310f1608e4afbb22e0
 ! Please do not edit these lines, except to modify the commit id
 ! if you have ported upstream changes.
 -/
@@ -14,6 +14,9 @@ import Mathbin.LinearAlgebra.Matrix.BilinearForm
 /-!
 # Lie algebras of skew-adjoint endomorphisms of a bilinear form
 
+> THIS FILE IS SYNCHRONIZED WITH MATHLIB4.
+> Any changes to this file require a corresponding PR to mathlib4.
+
 When a module carries a bilinear form, the Lie algebra of endomorphisms of the module contains a
 distinguished Lie subalgebra: the skew-adjoint endomorphisms. Such subalgebras are important
 because they provide a simple, explicit construction of the so-called classical Lie algebras.

075b3f7d

bump to nightly-2023-06-05-10

mathlib commit https://github.com/leanprover-community/mathlib/commit/13361559d66b84f80b6d5a1c4a26aa5054766725

b55b4385

Diff

@@ -45,7 +45,7 @@ variable {R : Type u} {M : Type v} [CommRing R] [AddCommGroup M] [Module R M]
 
 variable (B : BilinForm R M)
 
-theorem BilinForm.is_skew_adjoint_bracket (f g : Module.End R M) (hf : f ∈ B.skewAdjointSubmodule)
+theorem BilinForm.isSkewAdjoint_bracket (f g : Module.End R M) (hf : f ∈ B.skewAdjointSubmodule)
     (hg : g ∈ B.skewAdjointSubmodule) : ⁅f, g⁆ ∈ B.skewAdjointSubmodule :=
   by
   rw [mem_skew_adjoint_submodule] at *
@@ -53,12 +53,12 @@ theorem BilinForm.is_skew_adjoint_bracket (f g : Module.End R M) (hf : f ∈ B.s
   have hgf : is_adjoint_pair B B (g * f) (f * g) := by rw [← neg_mul_neg f g]; exact hg.mul hf
   change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
-#align bilin_form.is_skew_adjoint_bracket BilinForm.is_skew_adjoint_bracket
+#align bilin_form.is_skew_adjoint_bracket BilinForm.isSkewAdjoint_bracket
 
 /-- Given an `R`-module `M`, equipped with a bilinear form, the skew-adjoint endomorphisms form a
 Lie subalgebra of the Lie algebra of endomorphisms. -/
 def skewAdjointLieSubalgebra : LieSubalgebra R (Module.End R M) :=
-  { B.skewAdjointSubmodule with lie_mem' := B.is_skew_adjoint_bracket }
+  { B.skewAdjointSubmodule with lie_mem' := B.isSkewAdjoint_bracket }
 #align skew_adjoint_lie_subalgebra skewAdjointLieSubalgebra
 
 variable {N : Type w} [AddCommGroup N] [Module R N] (e : N ≃ₗ[R] M)
@@ -100,9 +100,8 @@ theorem Matrix.lie_transpose (A B : Matrix n n R) : ⁅A, B⁆ᵀ = ⁅Bᵀ, A
   show (A * B - B * A)ᵀ = Bᵀ * Aᵀ - Aᵀ * Bᵀ by simp
 #align matrix.lie_transpose Matrix.lie_transpose
 
-theorem Matrix.is_skew_adjoint_bracket (A B : Matrix n n R)
-    (hA : A ∈ skewAdjointMatricesSubmodule J) (hB : B ∈ skewAdjointMatricesSubmodule J) :
-    ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J :=
+theorem Matrix.isSkewAdjoint_bracket (A B : Matrix n n R) (hA : A ∈ skewAdjointMatricesSubmodule J)
+    (hB : B ∈ skewAdjointMatricesSubmodule J) : ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J :=
   by
   simp only [mem_skewAdjointMatricesSubmodule] at *
   change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA ;
@@ -112,18 +111,20 @@ theorem Matrix.is_skew_adjoint_bracket (A B : Matrix n n R)
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc, ←
     mul_assoc, hA, hB]
   noncomm_ring
-#align matrix.is_skew_adjoint_bracket Matrix.is_skew_adjoint_bracket
+#align matrix.is_skew_adjoint_bracket Matrix.isSkewAdjoint_bracket
 
 /-- The Lie subalgebra of skew-adjoint square matrices corresponding to a square matrix `J`. -/
 def skewAdjointMatricesLieSubalgebra : LieSubalgebra R (Matrix n n R) :=
-  { skewAdjointMatricesSubmodule J with lie_mem' := J.is_skew_adjoint_bracket }
+  { skewAdjointMatricesSubmodule J with lie_mem' := J.isSkewAdjoint_bracket }
 #align skew_adjoint_matrices_lie_subalgebra skewAdjointMatricesLieSubalgebra
 
+#print mem_skewAdjointMatricesLieSubalgebra /-
 @[simp]
 theorem mem_skewAdjointMatricesLieSubalgebra (A : Matrix n n R) :
     A ∈ skewAdjointMatricesLieSubalgebra J ↔ A ∈ skewAdjointMatricesSubmodule J :=
   Iff.rfl
 #align mem_skew_adjoint_matrices_lie_subalgebra mem_skewAdjointMatricesLieSubalgebra
+-/
 
 /-- An invertible matrix `P` gives a Lie algebra equivalence between those endomorphisms that are
 skew-adjoint with respect to a square matrix `J` and those with respect to `PᵀJP`. -/

075b3f7d

bump to nightly-2023-06-01-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/cca40788df1b8755d5baf17ab2f27dacc2e17acb

b9c87c70

Diff

@@ -105,7 +105,8 @@ theorem Matrix.is_skew_adjoint_bracket (A B : Matrix n n R)
     ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J :=
   by
   simp only [mem_skewAdjointMatricesSubmodule] at *
-  change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA; change Bᵀ ⬝ J = J ⬝ (-B) at hB
+  change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆); change Aᵀ ⬝ J = J ⬝ (-A) at hA ;
+  change Bᵀ ⬝ J = J ⬝ (-B) at hB 
   simp only [← Matrix.mul_eq_mul] at *
   rw [Matrix.lie_transpose, LieRing.of_associative_ring_bracket,
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc, ←

075b3f7d

bump to nightly-2023-05-28-18

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

8d353152

Diff

@@ -90,7 +90,7 @@ end SkewAdjointEndomorphisms
 
 section SkewAdjointMatrices
 
-open Matrix
+open scoped Matrix
 
 variable {R : Type u} {n : Type w} [CommRing R] [DecidableEq n] [Fintype n]

075b3f7d

bump to nightly-2023-05-28-04

mathlib commit https://github.com/leanprover-community/mathlib/commit/917c3c072e487b3cccdbfeff17e75b40e45f66cb

6797a637

Diff

@@ -49,16 +49,9 @@ theorem BilinForm.is_skew_adjoint_bracket (f g : Module.End R M) (hf : f ∈ B.s
     (hg : g ∈ B.skewAdjointSubmodule) : ⁅f, g⁆ ∈ B.skewAdjointSubmodule :=
   by
   rw [mem_skew_adjoint_submodule] at *
-  have hfg : is_adjoint_pair B B (f * g) (g * f) :=
-    by
-    rw [← neg_mul_neg g f]
-    exact hf.mul hg
-  have hgf : is_adjoint_pair B B (g * f) (f * g) :=
-    by
-    rw [← neg_mul_neg f g]
-    exact hg.mul hf
-  change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f))
-  rw [neg_sub]
+  have hfg : is_adjoint_pair B B (f * g) (g * f) := by rw [← neg_mul_neg g f]; exact hf.mul hg
+  have hgf : is_adjoint_pair B B (g * f) (f * g) := by rw [← neg_mul_neg f g]; exact hg.mul hf
+  change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
 #align bilin_form.is_skew_adjoint_bracket BilinForm.is_skew_adjoint_bracket

075b3f7d

bump to nightly-2023-02-21-16

mathlib commit https://github.com/leanprover-community/mathlib/commit/bd9851ca476957ea4549eb19b40e7b5ade9428cc

1107b979

Changes in mathlib4

mathlib3

mathlib4

075b3f7d

chore(*): remove empty lines between variable statements (#11418)

Empty lines were removed by executing the following Python script twice

import os
import re


# Loop through each file in the repository
for dir_path, dirs, files in os.walk('.'):
  for filename in files:
    if filename.endswith('.lean'):
      file_path = os.path.join(dir_path, filename)

      # Open the file and read its contents
      with open(file_path, 'r') as file:
        content = file.read()

      # Use a regular expression to replace sequences of "variable" lines separated by empty lines
      # with sequences without empty lines
      modified_content = re.sub(r'(variable.*\n)\n(variable(?! .* in))', r'\1\2', content)

      # Write the modified content back to the file
      with open(file_path, 'w') as file:
        file.write(modified_content)

75c86f04

Diff

@@ -40,7 +40,6 @@ section SkewAdjointEndomorphisms
 open LinearMap (BilinForm)
 
 variable {R : Type u} {M : Type v} [CommRing R] [AddCommGroup M] [Module R M]
-
 variable (B : BilinForm R M)
 
 -- Porting note: Changed `(f g)` to `{f g}` for convenience in `skewAdjointLieSubalgebra`
@@ -94,7 +93,6 @@ section SkewAdjointMatrices
 open scoped Matrix
 
 variable {R : Type u} {n : Type w} [CommRing R] [DecidableEq n] [Fintype n]
-
 variable (J : Matrix n n R)
 
 theorem Matrix.lie_transpose (A B : Matrix n n R) : ⁅A, B⁆ᵀ = ⁅Bᵀ, Aᵀ⁆ :=

075b3f7d

refactor(Algebra/Lie/SkewAdjoint): from BilinForm to LinearMap.BilinForm (#11078)

Replaces BilinForm with LinearMap.BilinForm in support of #10553

9830814c

Diff

@@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
 -/
 import Mathlib.Algebra.Lie.Matrix
-import Mathlib.LinearAlgebra.Matrix.BilinearForm
+import Mathlib.LinearAlgebra.Matrix.SesquilinearForm
 import Mathlib.Tactic.NoncommRing
 
 #align_import algebra.lie.skew_adjoint from "leanprover-community/mathlib"@"075b3f7d19b9da85a0b54b3e33055a74fc388dec"
@@ -37,21 +37,22 @@ universe u v w w₁
 
 section SkewAdjointEndomorphisms
 
-open BilinForm
+open LinearMap (BilinForm)
 
 variable {R : Type u} {M : Type v} [CommRing R] [AddCommGroup M] [Module R M]
 
 variable (B : BilinForm R M)
 
 -- Porting note: Changed `(f g)` to `{f g}` for convenience in `skewAdjointLieSubalgebra`
-theorem BilinForm.isSkewAdjoint_bracket {f g : Module.End R M} (hf : f ∈ B.skewAdjointSubmodule)
-    (hg : g ∈ B.skewAdjointSubmodule) : ⁅f, g⁆ ∈ B.skewAdjointSubmodule := by
+theorem LinearMap.BilinForm.isSkewAdjoint_bracket {f g : Module.End R M}
+    (hf : f ∈ B.skewAdjointSubmodule) (hg : g ∈ B.skewAdjointSubmodule) :
+    ⁅f, g⁆ ∈ B.skewAdjointSubmodule := by
   rw [mem_skewAdjointSubmodule] at *
   have hfg : IsAdjointPair B B (f * g) (g * f) := by rw [← neg_mul_neg g f]; exact hf.mul hg
   have hgf : IsAdjointPair B B (g * f) (f * g) := by rw [← neg_mul_neg f g]; exact hg.mul hf
-  change BilinForm.IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
+  change IsAdjointPair B B (f * g - g * f) (-(f * g - g * f)); rw [neg_sub]
   exact hfg.sub hgf
-#align bilin_form.is_skew_adjoint_bracket BilinForm.isSkewAdjoint_bracket
+#align bilin_form.is_skew_adjoint_bracket LinearMap.BilinForm.isSkewAdjoint_bracket
 
 /-- Given an `R`-module `M`, equipped with a bilinear form, the skew-adjoint endomorphisms form a
 Lie subalgebra of the Lie algebra of endomorphisms. -/
@@ -65,16 +66,17 @@ variable {N : Type w} [AddCommGroup N] [Module R N] (e : N ≃ₗ[R] M)
 /-- An equivalence of modules with bilinear forms gives equivalence of Lie algebras of skew-adjoint
 endomorphisms. -/
 def skewAdjointLieSubalgebraEquiv :
-    skewAdjointLieSubalgebra (B.comp (↑e : N →ₗ[R] M) ↑e) ≃ₗ⁅R⁆ skewAdjointLieSubalgebra B := by
+    skewAdjointLieSubalgebra (B.compl₁₂ (↑e : N →ₗ[R] M) ↑e) ≃ₗ⁅R⁆ skewAdjointLieSubalgebra B := by
   apply LieEquiv.ofSubalgebras _ _ e.lieConj
   ext f
   simp only [LieSubalgebra.mem_coe, Submodule.mem_map_equiv, LieSubalgebra.mem_map_submodule,
     LinearEquiv.coe_coe]
-  exact (BilinForm.isPairSelfAdjoint_equiv (-B) B e f).symm
+  exact (LinearMap.isPairSelfAdjoint_equiv (B := -B) (F := B) e f).symm
 #align skew_adjoint_lie_subalgebra_equiv skewAdjointLieSubalgebraEquiv
 
 @[simp]
-theorem skewAdjointLieSubalgebraEquiv_apply (f : skewAdjointLieSubalgebra (B.comp ↑e ↑e)) :
+theorem skewAdjointLieSubalgebraEquiv_apply
+    (f : skewAdjointLieSubalgebra (B.compl₁₂ (Qₗ := N) (Qₗ' := N) ↑e ↑e)) :
     ↑(skewAdjointLieSubalgebraEquiv B e f) = e.lieConj f := by
   simp [skewAdjointLieSubalgebraEquiv]
 #align skew_adjoint_lie_subalgebra_equiv_apply skewAdjointLieSubalgebraEquiv_apply
@@ -135,7 +137,7 @@ def skewAdjointMatricesLieSubalgebraEquiv (P : Matrix n n R) (h : Invertible P)
       simp only [LieSubalgebra.mem_coe, Submodule.mem_map_equiv, LieSubalgebra.mem_map_submodule,
         LinearEquiv.coe_coe]
       exact this
-    simp [Matrix.IsSkewAdjoint, J.isAdjointPair_equiv' _ _ P (isUnit_of_invertible P)]
+    simp [Matrix.IsSkewAdjoint, J.isAdjointPair_equiv _ _ P (isUnit_of_invertible P)]
 #align skew_adjoint_matrices_lie_subalgebra_equiv skewAdjointMatricesLieSubalgebraEquiv
 
 -- TODO(mathlib4#6607): fix elaboration so annotation on `A` isn't needed

075b3f7d

refactor(Data/Matrix): Eliminate ⬝ notation in favor of HMul (#6487)

The main difficulty here is that * has a slightly difference precedence to ⬝. notably around smul and neg.

The other annoyance is that ↑U ⬝ A ⬝ ↑U⁻¹ : Matrix m m 𝔸 now has to be written U.val * A * (U⁻¹).val in order to typecheck.

A downside of this change to consider: if you have a goal of A * (B * C) = (A * B) * C, mul_assoc now gives the illusion of matching, when in fact Matrix.mul_assoc is needed. Previously the distinct symbol made it easy to avoid this mistake.

On the flipside, there is now no need to rewrite by Matrix.mul_eq_mul all the time (indeed, the lemma is now removed).

38c07226

Diff

@@ -103,10 +103,9 @@ theorem Matrix.lie_transpose (A B : Matrix n n R) : ⁅A, B⁆ᵀ = ⁅Bᵀ, A
 theorem Matrix.isSkewAdjoint_bracket {A B : Matrix n n R} (hA : A ∈ skewAdjointMatricesSubmodule J)
     (hB : B ∈ skewAdjointMatricesSubmodule J) : ⁅A, B⁆ ∈ skewAdjointMatricesSubmodule J := by
   simp only [mem_skewAdjointMatricesSubmodule] at *
-  change ⁅A, B⁆ᵀ ⬝ J = J ⬝ (-⁅A, B⁆)
-  change Aᵀ ⬝ J = J ⬝ (-A) at hA
-  change Bᵀ ⬝ J = J ⬝ (-B) at hB
-  simp only [← Matrix.mul_eq_mul] at *
+  change ⁅A, B⁆ᵀ * J = J * (-⁅A, B⁆)
+  change Aᵀ * J = J * (-A) at hA
+  change Bᵀ * J = J * (-B) at hB
   rw [Matrix.lie_transpose, LieRing.of_associative_ring_bracket,
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc,
     ← mul_assoc, hA, hB]
@@ -128,20 +127,21 @@ theorem mem_skewAdjointMatricesLieSubalgebra (A : Matrix n n R) :
 /-- An invertible matrix `P` gives a Lie algebra equivalence between those endomorphisms that are
 skew-adjoint with respect to a square matrix `J` and those with respect to `PᵀJP`. -/
 def skewAdjointMatricesLieSubalgebraEquiv (P : Matrix n n R) (h : Invertible P) :
-    skewAdjointMatricesLieSubalgebra J ≃ₗ⁅R⁆ skewAdjointMatricesLieSubalgebra (Pᵀ ⬝ J ⬝ P) :=
+    skewAdjointMatricesLieSubalgebra J ≃ₗ⁅R⁆ skewAdjointMatricesLieSubalgebra (Pᵀ * J * P) :=
   LieEquiv.ofSubalgebras _ _ (P.lieConj h).symm <| by
     ext A
     suffices P.lieConj h A ∈ skewAdjointMatricesSubmodule J ↔
-        A ∈ skewAdjointMatricesSubmodule (Pᵀ ⬝ J ⬝ P) by
+        A ∈ skewAdjointMatricesSubmodule (Pᵀ * J * P) by
       simp only [LieSubalgebra.mem_coe, Submodule.mem_map_equiv, LieSubalgebra.mem_map_submodule,
         LinearEquiv.coe_coe]
       exact this
     simp [Matrix.IsSkewAdjoint, J.isAdjointPair_equiv' _ _ P (isUnit_of_invertible P)]
 #align skew_adjoint_matrices_lie_subalgebra_equiv skewAdjointMatricesLieSubalgebraEquiv
 
+-- TODO(mathlib4#6607): fix elaboration so annotation on `A` isn't needed
 theorem skewAdjointMatricesLieSubalgebraEquiv_apply (P : Matrix n n R) (h : Invertible P)
     (A : skewAdjointMatricesLieSubalgebra J) :
-    ↑(skewAdjointMatricesLieSubalgebraEquiv J P h A) = P⁻¹ ⬝ ↑A ⬝ P := by
+    ↑(skewAdjointMatricesLieSubalgebraEquiv J P h A) = P⁻¹ * (A : Matrix n n R) * P := by
   simp [skewAdjointMatricesLieSubalgebraEquiv]
 #align skew_adjoint_matrices_lie_subalgebra_equiv_apply skewAdjointMatricesLieSubalgebraEquiv_apply
 
@@ -155,7 +155,7 @@ def skewAdjointMatricesLieSubalgebraEquivTranspose {m : Type w} [DecidableEq m]
     suffices J.IsSkewAdjoint (e.symm A) ↔ (e J).IsSkewAdjoint A by
       -- Porting note: Originally `simpa [this]`
       simpa [- LieSubalgebra.mem_map, LieSubalgebra.mem_map_submodule]
-    simp only [Matrix.IsSkewAdjoint, Matrix.IsAdjointPair, ← Matrix.mul_eq_mul, ← h,
+    simp only [Matrix.IsSkewAdjoint, Matrix.IsAdjointPair, ← h,
       ← Function.Injective.eq_iff e.injective, map_mul, AlgEquiv.apply_symm_apply, map_neg]
 #align skew_adjoint_matrices_lie_subalgebra_equiv_transpose skewAdjointMatricesLieSubalgebraEquivTranspose

075b3f7d

chore: script to replace headers with #align_import statements (#5979)

depends on: #5966

Co-authored-by: Eric Wieser <wieser.eric@gmail.com> Co-authored-by: Scott Morrison <scott.morrison@gmail.com>

89aa3a3b

Diff

@@ -2,16 +2,13 @@
 Copyright (c) 2020 Oliver Nash. All rights reserved.
 Released under Apache 2.0 license as described in the file LICENSE.
 Authors: Oliver Nash
-
-! This file was ported from Lean 3 source module algebra.lie.skew_adjoint
-! leanprover-community/mathlib commit 075b3f7d19b9da85a0b54b3e33055a74fc388dec
-! Please do not edit these lines, except to modify the commit id
-! if you have ported upstream changes.
 -/
 import Mathlib.Algebra.Lie.Matrix
 import Mathlib.LinearAlgebra.Matrix.BilinearForm
 import Mathlib.Tactic.NoncommRing
 
+#align_import algebra.lie.skew_adjoint from "leanprover-community/mathlib"@"075b3f7d19b9da85a0b54b3e33055a74fc388dec"
+
 /-!
 # Lie algebras of skew-adjoint endomorphisms of a bilinear form

075b3f7d

chore: fix many typos (#4967)

These are all doc fixes

6f9e51c3

Diff

@@ -19,7 +19,7 @@ When a module carries a bilinear form, the Lie algebra of endomorphisms of the m
 distinguished Lie subalgebra: the skew-adjoint endomorphisms. Such subalgebras are important
 because they provide a simple, explicit construction of the so-called classical Lie algebras.
 
-This file defines the Lie subalgebra of skew-adjoint endomorphims cut out by a bilinear form on
+This file defines the Lie subalgebra of skew-adjoint endomorphisms cut out by a bilinear form on
 a module and proves some basic related results. It also provides the corresponding definitions and
 results for the Lie algebra of square matrices.

075b3f7d

feat: port noncomm_ring tactic (#4804)

This aims to be a faithful implementation of mathlib3's noncomm_ring tactic.

1ae835c7

Diff

@@ -10,6 +10,7 @@ Authors: Oliver Nash
 -/
 import Mathlib.Algebra.Lie.Matrix
 import Mathlib.LinearAlgebra.Matrix.BilinearForm
+import Mathlib.Tactic.NoncommRing
 
 /-!
 # Lie algebras of skew-adjoint endomorphisms of a bilinear form
@@ -112,8 +113,7 @@ theorem Matrix.isSkewAdjoint_bracket {A B : Matrix n n R} (hA : A ∈ skewAdjoin
   rw [Matrix.lie_transpose, LieRing.of_associative_ring_bracket,
     LieRing.of_associative_ring_bracket, sub_mul, mul_assoc, mul_assoc, hA, hB, ← mul_assoc,
     ← mul_assoc, hA, hB]
-  --noncomm_ring -- Porting note: This tactic doesn't exist yet, so write a new `rw`
-  rw [neg_sub, mul_sub_left_distrib, mul_assoc, mul_assoc, neg_mul_neg, neg_mul_neg]
+  noncomm_ring
 #align matrix.is_skew_adjoint_bracket Matrix.isSkewAdjoint_bracket
 
 /-- The Lie subalgebra of skew-adjoint square matrices corresponding to a square matrix `J`. -/

075b3f7d

feat: port Algebra.Lie.SkewAdjoint (#4649)

Co-authored-by: Jeremy Tan Jie Rui <reddeloostw@gmail.com>

ba4be16e

`algebra.lie.skew_adjoint` ⟷ `Mathlib.Algebra.Lie.SkewAdjoint`

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 629

algebra.lie.skew_adjoint ⟷ Mathlib.Algebra.Lie.SkewAdjoint

Changes since the initial port

Changes in mathlib3

Changes in mathlib3port

Changes in mathlib4

Dependencies 10 + 629

`algebra.lie.skew_adjoint` ⟷ `Mathlib.Algebra.Lie.SkewAdjoint`