chore: bump to v4.16.0
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35 changed files with 200 additions and 145 deletions
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@ -58,12 +58,14 @@ def _root_.LorentzGroup.toNormOne (Λ : LorentzGroup d) : NormOne d :=
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lemma _root_.LorentzGroup.toNormOne_inl (Λ : LorentzGroup d) :
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(LorentzGroup.toNormOne Λ).val.val (Sum.inl 0) = Λ.1 (Sum.inl 0) (Sum.inl 0) := by
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simp only [Fin.isValue, LorentzGroup.toNormOne_coe_val, Finsupp.single, one_ne_zero, ↓reduceIte,
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Finsupp.coe_mk, Matrix.mulVec_single, mul_one]
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Finsupp.coe_mk, Matrix.mulVec_single, MulOpposite.op_one, Pi.smul_apply, Matrix.transpose_apply,
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one_smul]
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lemma _root_.LorentzGroup.toNormOne_inr (Λ : LorentzGroup d) (i : Fin d) :
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(LorentzGroup.toNormOne Λ).val.val (Sum.inr i) = Λ.1 (Sum.inr i) (Sum.inl 0) := by
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simp only [LorentzGroup.toNormOne_coe_val, Finsupp.single, one_ne_zero, ↓reduceIte, Fin.isValue,
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Finsupp.coe_mk, Matrix.mulVec_single, mul_one]
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Finsupp.coe_mk, Matrix.mulVec_single, MulOpposite.op_one, Pi.smul_apply, Matrix.transpose_apply,
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one_smul]
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lemma _root_.LorentzGroup.inl_inl_mul (Λ Λ' : LorentzGroup d) : (Λ * Λ').1 (Sum.inl 0) (Sum.inl 0) =
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⟪(LorentzGroup.toNormOne (LorentzGroup.transpose Λ)).1,
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