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chore: Bump to lean v.4.12.0

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jstoobysmith 2024-10-03 13:50:18 +00:00
parent 47d9649c44
commit 987bbf6013
23 changed files with 92 additions and 58 deletions
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6
HepLean/SpaceTime/LorentzAlgebra/Basic.lean
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@ -31,7 +31,8 @@ open minkowskiMatrix
lemma transpose_eta (A : lorentzAlgebra) : A.1ᵀ * η = - η * A.1 := by
have h1 := A.2
erw [mem_skewAdjointMatricesLieSubalgebra] at h1
simpa [LieAlgebra.Orthogonal.so', IsSkewAdjoint, IsAdjointPair] using h1
simpa only [neg_mul, mem_skewAdjointMatricesSubmodule, IsSkewAdjoint, IsAdjointPair,
mul_neg] using h1
lemma mem_of_transpose_eta_eq_eta_mul_self {A : Matrix (Fin 1 ⊕ Fin 3) (Fin 1 ⊕ Fin 3) ℝ}
(h : Aᵀ * η = - η * A) : A ∈ lorentzAlgebra := by
@ -96,8 +97,7 @@ instance lorentzVectorAsLieRingModule : LieRingModule lorentzAlgebra (LorentzVec
@[simps!]
instance spaceTimeAsLieModule : LieModule ℝ lorentzAlgebra (LorentzVector 3) where
smul_lie r Λ x := by
simp [Bracket.bracket, smul_mulVec_assoc]
smul_lie r Λ x := smul_mulVec_assoc r Λ.1 x
lie_smul r Λ x := by
simp only [Bracket.bracket]
rw [mulVec_smul]