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refactor: Move dual to minkowskiMatrix

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jstoobysmith 2024-11-08 11:16:16 +00:00
parent ac7c7939a7
commit 9fcaee7b2f
5 changed files with 60 additions and 54 deletions
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HepLean/SpaceTime/LorentzGroup/Rotations.lean
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@ -25,7 +25,7 @@ def SO3ToMatrix (A : SO(3)) : Matrix (Fin 1 ⊕ Fin 3) (Fin 1 ⊕ Fin 3) ℝ :=
lemma SO3ToMatrix_in_LorentzGroup (A : SO(3)) : SO3ToMatrix A ∈ LorentzGroup 3 := by
rw [LorentzGroup.mem_iff_dual_mul_self]
simp only [minkowskiMetric.dual, minkowskiMatrix.as_block, SO3ToMatrix,
simp only [minkowskiMatrix.dual, minkowskiMatrix.as_block, SO3ToMatrix,
Matrix.fromBlocks_transpose, Matrix.transpose_one, Matrix.transpose_zero,
Matrix.fromBlocks_multiply, mul_one, Matrix.mul_zero, add_zero, Matrix.zero_mul, Matrix.mul_one,
neg_mul, one_mul, zero_add, Matrix.mul_neg, neg_zero, mul_neg, neg_neg,