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refactor: Creation of composite nodes

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jstoobysmith 2024-10-22 07:11:44 +00:00
parent 8fa8a51367
commit ccb9623bd6
6 changed files with 43 additions and 70 deletions
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8
HepLean/Tensors/ComplexLorentz/Lemmas.lean
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@ -32,6 +32,9 @@ noncomputable section
namespace Fermion
example : 0 < complexLorentzTensor.repDim (![Color.down] 0):= by decide
lemma coMetric_expand : {Lorentz.coMetric | μ ν}ᵀ.tensor =
(PiTensorProduct.tprod ℂ (fun i => Fin.cases (Lorentz.complexCoBasis (Sum.inl 0))
(fun i => Fin.cases (Lorentz.complexCoBasis (Sum.inl 0)) (fun i => i.elim0) i) i) :
@ -146,9 +149,12 @@ lemma symm_contr_antiSymm {S : (Lorentz.complexCo ⊗ Lorentz.complexCo).V}
rw [antiSymm_contr_symm hA hs]
rfl
variable (p : Lorentz.complexCo) (q : Lorentz.complexContr)
lemma contr_rank_1_expand (p : Lorentz.complexCo) (q : Lorentz.complexContr) :
{(p | μ ⊗ q | μ) = p | 0}ᵀ := by
{p | μ ⊗ q | μ = p | 0}ᵀ := by
sorry
end Fermion
end