refactor: Lint
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10 changed files with 120 additions and 90 deletions
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@ -34,7 +34,8 @@ noncomputable def timeContract (𝓞 : 𝓕.ProtoOperatorAlgebra) {φs : List
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This result follows from the fact that `timeContract` only depends on contracted pairs,
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and `(φsΛ ↩Λ φ i none)` has the 'same' contracted pairs as `φsΛ`. -/
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@[simp]
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lemma timeContract_insertAndContract_none (𝓞 : 𝓕.ProtoOperatorAlgebra) (φ : 𝓕.States) (φs : List 𝓕.States)
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lemma timeContract_insertAndContract_none (𝓞 : 𝓕.ProtoOperatorAlgebra)
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(φ : 𝓕.States) (φs : List 𝓕.States)
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(φsΛ : WickContraction φs.length) (i : Fin φs.length.succ) :
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(φsΛ ↩Λ φ i none).timeContract 𝓞 = φsΛ.timeContract 𝓞 := by
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rw [timeContract, insertAndContract_none_prod_contractions]
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@ -42,7 +43,8 @@ lemma timeContract_insertAndContract_none (𝓞 : 𝓕.ProtoOperatorAlgebra) (φ
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ext a
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simp
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lemma timeConract_insertAndContract_some (𝓞 : 𝓕.ProtoOperatorAlgebra) (φ : 𝓕.States) (φs : List 𝓕.States)
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lemma timeConract_insertAndContract_some (𝓞 : 𝓕.ProtoOperatorAlgebra)
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(φ : 𝓕.States) (φs : List 𝓕.States)
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(φsΛ : WickContraction φs.length) (i : Fin φs.length.succ) (j : φsΛ.uncontracted) :
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(φsΛ ↩Λ φ i (some j)).timeContract 𝓞 =
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(if i < i.succAbove j then
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