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feat: cardinality of Wick contractions

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jstoobysmith 2025-02-04 11:50:07 +00:00
parent 034f6c8c91
commit 2a5193d5c9
6 changed files with 337 additions and 23 deletions
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4
HepLean/PerturbationTheory/WickContraction/InsertAndContract.lean
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@ -91,14 +91,14 @@ lemma insertAndContract_fstFieldOfContract_some_incl (φ : 𝓕.FieldOp) (φs :
## insertAndContract and getDual?
-/
@[simp]
lemma insertAndContract_none_getDual?_self (φ : 𝓕.FieldOp) (φs : List 𝓕.FieldOp)
(φsΛ : WickContraction φs.length) (i : Fin φs.length.succ) :
(φsΛ ↩Λ φ i none).getDual? (Fin.cast (insertIdx_length_fin φ φs i).symm i) = none := by
simp only [Nat.succ_eq_add_one, insertAndContract, getDual?_congr, finCongr_apply, Fin.cast_trans,
Fin.cast_eq_self, Option.map_eq_none']
have h1 := φsΛ.insertAndContractNat_none_getDual?_isNone i
simpa using h1
simp
lemma insertAndContract_isSome_getDual?_self (φ : 𝓕.FieldOp) (φs : List 𝓕.FieldOp)
(φsΛ : WickContraction φs.length) (i : Fin φs.length.succ) (j : φsΛ.uncontracted) :