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feat: Simple perm identities

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jstoobysmith 2024-10-19 15:26:57 +00:00
parent 2cb219773e
commit 224cc2f195
3 changed files with 19 additions and 3 deletions
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4
HepLean/Tensors/ComplexLorentz/Lemmas.lean
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@ -6,6 +6,7 @@ Authors: Joseph Tooby-Smith
import HepLean.Tensors.Tree.Elab
import HepLean.Tensors.ComplexLorentz.Basic
import Mathlib.LinearAlgebra.TensorProduct.Basis
import HepLean.Tensors.Tree.NodeIdentities.Basic
/-!
## Lemmas related to complex Lorentz tensors.
@ -66,7 +67,6 @@ lemma coMetric_symm : {Lorentz.coMetric | μ ν = Lorentz.coMetric | ν μ}ᵀ :
match i with
| (0 : Fin 2) => rfl
| (1 : Fin 2) => rfl
/-
lemma coMetric_prod_antiSymm (A : (Lorentz.complexContr ⊗ Lorentz.complexContr).V)
(S : (Lorentz.complexCo ⊗ Lorentz.complexCo).V)
@ -84,7 +84,7 @@ lemma coMetric_prod_antiSymm (A : (Lorentz.complexContr ⊗ Lorentz.complexContr
apply congrArg
sorry
sorry
-/
-/
end Fermion
end