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feat: Add symm of unit for complex lorentz

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jstoobysmith 2024-10-24 16:04:05 +00:00
parent 942ee12e60
commit 8c584431c4
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9
HepLean/Tensors/ComplexLorentz/Basic.lean
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@ -175,6 +175,15 @@ def complexLorentzTensor : TensorSpecies where
| Color.downR => Fermion.contr_rightAltRightUnit
| Color.up => Lorentz.contr_coContrUnit
| Color.down => Lorentz.contr_contrCoUnit
unit_symm := fun c =>
match c with
| Color.upL => Fermion.altLeftLeftUnit_symm
| Color.downL => Fermion.leftAltLeftUnit_symm
| Color.upR => Fermion.altRightRightUnit_symm
| Color.downR => Fermion.rightAltRightUnit_symm
| Color.up => Lorentz.coContrUnit_symm
| Color.down => Lorentz.contrCoUnit_symm
contr_metric := by sorry
instance : DecidableEq complexLorentzTensor.C := Fermion.instDecidableEqColor