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feat: Contr symm relations

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jstoobysmith 2024-10-21 12:20:43 +00:00
parent b92796cb2f
commit ef0d857cb7
4 changed files with 57 additions and 50 deletions
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8
HepLean/Tensors/ComplexLorentz/Basic.lean
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@ -143,6 +143,14 @@ def complexLorentzTensor : TensorSpeciesStruct where
| Color.downR => 2
| Color.up => 4
| Color.down => 4
contr_tmul_symm := fun c =>
match c with
| Color.upL => Fermion.leftAltContraction_tmul_symm
| Color.downL => Fermion.altLeftContraction_tmul_symm
| Color.upR => Fermion.rightAltContraction_tmul_symm
| Color.downR => Fermion.altRightContraction_tmul_symm
| Color.up => Lorentz.contrCoContraction_tmul_symm
| Color.down => Lorentz.coContrContraction_tmul_symm
instance : DecidableEq complexLorentzTensor.C := Fermion.instDecidableEqColor