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feat: Double contraction of indices lemma

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jstoobysmith 2024-08-06 15:43:58 -04:00
parent 9123431424
commit d02e94886d
10 changed files with 543 additions and 362 deletions
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4
HepLean/SpaceTime/LorentzTensor/Real/IndexNotation.lean
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@ -77,13 +77,13 @@ noncomputable def fromIndexStringColor {cn : Fin n → realTensorColor.Color}
(hs : listCharIndexStringBool realTensorColor.Color s.toList = true)
(hn : n = (IndexString.toIndexList (⟨s, hs⟩ : IndexString realTensorColor.Color)).length)
(hc : IndexListColor.colorPropBool (IndexString.toIndexList ⟨s, hs⟩))
(hd : TensorColor.DualMap.boolFin
(hd : TensorColor.ColorMap.DualMap.boolFin
(IndexString.toIndexList ⟨s, hs⟩).colorMap (cn ∘ Fin.cast hn.symm)) :
(realLorentzTensor d).TensorIndex :=
TensorStructure.TensorIndex.mkDualMap T
⟨(IndexString.toIndexList (⟨s, hs⟩ : IndexString realTensorColor.Color)),
IndexListColor.colorPropBool_indexListColorProp hc⟩ hn
(TensorColor.DualMap.boolFin_DualMap hd)
(TensorColor.ColorMap.DualMap.boolFin_DualMap hd)
/-- A tactics used to prove `colorPropBool` for real Lorentz tensors. -/
macro "prodTactic" : tactic =>