refactor: Lint
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17 changed files with 36 additions and 43 deletions
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@ -31,7 +31,7 @@ noncomputable def timeContract {φs : List 𝓕.FieldOp}
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timeContract_mem_center _ _⟩
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/-- For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
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`𝓕.FieldOp`, and a `i ≤ φs.length` the following relation holds
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`𝓕.FieldOp`, and a `i ≤ φs.length` the following relation holds
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`(φsΛ ↩Λ φ i none).timeContract = φsΛ.timeContract`
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@ -45,8 +45,8 @@ lemma timeContract_insert_none (φ : 𝓕.FieldOp) (φs : List 𝓕.FieldOp)
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ext a
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simp
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/-- For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted`, then
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/-- For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted`, then
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`(φsΛ ↩Λ φ i (some k)).timeContract` is equal to the product of
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- `timeContract φ φs[k]` if `i ≤ k` or `timeContract φs[k] φ` if `k < i`
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- `φsΛ.timeContract`.
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@ -80,7 +80,7 @@ lemma timeContract_empty (φs : List 𝓕.FieldOp) :
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open FieldStatistic
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/-! For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted` such that `i ≤ k`, with the
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted` such that `i ≤ k`, with the
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condition that `φ` has greater or equal time to `φs[k]`, then
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`(φsΛ ↩Λ φ i (some k)).timeContract` is equal to the product of
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- `[anPart φ, φs[k]]ₛ`
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@ -124,7 +124,7 @@ lemma timeContract_insert_some_of_lt
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· exact ht
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/-! For a list `φs = φ₀…φₙ` of `𝓕.FieldOp`, a Wick contraction `φsΛ` of `φs`, an element `φ` of
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted` such that `k < i`, with the
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`𝓕.FieldOp`, a `i ≤ φs.length` and a `k` in `φsΛ.uncontracted` such that `k < i`, with the
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condition that `φs[k]` does not have has greater or equal time to `φ`, then
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`(φsΛ ↩Λ φ i (some k)).timeContract` is equal to the product of
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- `[anPart φ, φs[k]]ₛ`
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