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feat: Grading on FieldOpAlgebra

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jstoobysmith 2025-02-05 07:22:14 +00:00
parent 35445a5be6
commit 7d9e6af80c
10 changed files with 609 additions and 160 deletions
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2
HepLean/Lorentz/ComplexTensor/Bispinors/Basic.lean
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@ -60,7 +60,7 @@ def coBispinorDown (p : complexCo) :=
/-- The definitional tensor node relation for `contrBispinorUp`. -/
lemma tensorNode_contrBispinorUp (p : complexContr) :
{contrBispinorUp p | α β}ᵀ.tensor = {pauliCo | μ α β ⊗
(vecNodeE complexLorentzTensor .up p).tensor | μ}ᵀ.tensor := by
(vecNodeE complexLorentzTensor .up p).tensor | μ}ᵀ.tensor := by
rw [contrBispinorUp, tensorNode_tensor]
/-- The definitional tensor node relation for `contrBispinorDown`. -/

2
HepLean/Lorentz/ComplexTensor/Metrics/Basic.lean
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@ -111,7 +111,7 @@ lemma tensorNode_rightMetric : {εR | β β'}ᵀ.tensor = (TensorTree.constTwoNo
/-- The definitional tensor node relation for `altLeftMetric`. -/
lemma tensorNode_altLeftMetric :
{εL' | α α'}ᵀ.tensor = (TensorTree.constTwoNodeE complexLorentzTensor
{εL' | α α'}ᵀ.tensor = (TensorTree.constTwoNodeE complexLorentzTensor
.downL .downL Fermion.altLeftMetric).tensor := by
rfl