refactor: Lint
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9 changed files with 56 additions and 56 deletions
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@ -113,7 +113,7 @@ lemma ofStateList_sum (φs : List 𝓕.States) :
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/-- The algebra map taking an element of the free-state algbra to
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the part of it in the creation and annihlation free algebra
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spanned by creation operators. -/
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def crPart : 𝓕.States → 𝓕.CrAnAlgebra := fun φ =>
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def crPart : 𝓕.States → 𝓕.CrAnAlgebra := fun φ =>
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match φ with
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| States.inAsymp φ => ofCrAnState ⟨States.inAsymp φ, ()⟩
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| States.position φ => ofCrAnState ⟨States.position φ, CreateAnnihilate.create⟩
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@ -14,7 +14,6 @@ variable {𝓕 : FieldSpecification}
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namespace CrAnAlgebra
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/-!
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## The super commutor on the CrAnAlgebra.
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@ -46,7 +46,7 @@ lemma timeOrder_ofStateList (φs : List 𝓕.States) :
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rw [ofStateList_sum, map_sum]
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enter [2, x]
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rw [timeOrder_ofCrAnList]
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simp
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simp only [crAnTimeOrderSign_crAnSection]
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rw [← Finset.smul_sum]
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congr
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rw [ofStateList_sum, sum_crAnSections_timeOrder]
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@ -155,6 +155,7 @@ lemma timeOrder_eq_maxTimeField_mul_finset (φ : 𝓕.States) (φs : List 𝓕.S
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## Norm-time order
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-/
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/-- The normal-time ordering on `CrAnAlgebra`. -/
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def normTimeOrder : CrAnAlgebra 𝓕 →ₗ[ℂ] CrAnAlgebra 𝓕 :=
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Basis.constr ofCrAnListBasis ℂ fun φs =>
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normTimeOrderSign φs • ofCrAnList (normTimeOrderList φs)
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@ -42,6 +42,7 @@ abbrev FieldOpAlgebra : Type := (TwoSidedIdeal.span 𝓕.fieldOpIdealSet).ringCo
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namespace FieldOpAlgebra
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variable {𝓕 : FieldSpecification}
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/-- The instance of a setoid on `CrAnAlgebra` from the ideal `TwoSidedIdeal`. -/
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instance : Setoid (CrAnAlgebra 𝓕) := (TwoSidedIdeal.span 𝓕.fieldOpIdealSet).ringCon.toSetoid
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lemma equiv_iff_sub_mem_ideal (x y : CrAnAlgebra 𝓕) :
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