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refactor: Lint

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jstoobysmith 2025-01-29 16:06:28 +00:00
parent a329661c24
commit e5c85ac109
11 changed files with 179 additions and 182 deletions
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14
HepLean/PerturbationTheory/Algebras/CrAnAlgebra/TimeOrder.lean
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@ -66,7 +66,7 @@ lemma timeOrder_timeOrder_mid (a b c : 𝓕.CrAnAlgebra) : 𝓣ᶠ(a * b * c) =
Algebra.smul_mul_assoc, map_smul]
rw [timeOrder_ofCrAnList, timeOrder_ofCrAnList, smul_smul]
congr 1
· simp only [crAnTimeOrderSign, crAnTimeOrderList]
· simp only [crAnTimeOrderSign, crAnTimeOrderList]
rw [Wick.koszulSign_of_append_eq_insertionSort, mul_comm]
· congr 1
simp only [crAnTimeOrderList]
@ -167,7 +167,6 @@ lemma timeOrder_superCommute_ofCrAnState_ofCrAnState_not_crAnTimeOrderRel_right
timeOrder_superCommute_ofCrAnState_ofCrAnState_not_crAnTimeOrderRel h]
simp
lemma timeOrder_superCommute_ofCrAnState_ofCrAnState_not_crAnTimeOrderRel_left
{φ ψ : 𝓕.CrAnStates} (h : ¬ crAnTimeOrderRel φ ψ) (a : 𝓕.CrAnAlgebra) :
𝓣ᶠ([ofCrAnState φ, ofCrAnState ψ]ₛca * a) = 0 := by
@ -183,7 +182,7 @@ lemma timeOrder_superCommute_ofCrAnState_ofCrAnState_not_crAnTimeOrderRel_mid
simp
lemma timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel
{φ1 φ2 : 𝓕.CrAnStates} (h : ¬ crAnTimeOrderRel φ1 φ2) (a : 𝓕.CrAnAlgebra):
{φ1 φ2 : 𝓕.CrAnStates} (h : ¬ crAnTimeOrderRel φ1 φ2) (a : 𝓕.CrAnAlgebra) :
𝓣ᶠ([a, [ofCrAnState φ1, ofCrAnState φ2]ₛca]ₛca) = 0 := by
rw [← bosonicProj_add_fermionicProj a]
simp
@ -213,7 +212,7 @@ lemma timeOrder_superCommute_ofCrAnState_superCommute_not_crAnTimeOrderRel
rw [summerCommute_jacobi_ofCrAnList]
simp [ofCrAnList_singleton]
right
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h12 ]
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h12]
rw [superCommute_ofCrAnState_ofCrAnState_symm φ3]
simp
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h13]
@ -229,14 +228,14 @@ lemma timeOrder_superCommute_ofCrAnState_superCommute_not_crAnTimeOrderRel'
right
rw [superCommute_ofCrAnState_ofCrAnState_symm φ1]
simp
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h12 ]
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h12]
simp
rw [timeOrder_superCommute_superCommute_ofCrAnState_not_crAnTimeOrderRel h13]
simp
lemma timeOrder_superCommute_ofCrAnState_superCommute_all_not_crAnTimeOrderRel
(φ1 φ2 φ3 : 𝓕.CrAnStates) (h : ¬ (
crAnTimeOrderRel φ1 φ2 ∧ crAnTimeOrderRel φ1 φ3 ∧
(φ1 φ2 φ3 : 𝓕.CrAnStates) (h : ¬
(crAnTimeOrderRel φ1 φ2 ∧ crAnTimeOrderRel φ1 φ3 ∧
crAnTimeOrderRel φ2 φ1 ∧ crAnTimeOrderRel φ2 φ3 ∧
crAnTimeOrderRel φ3 φ1 ∧ crAnTimeOrderRel φ3 φ2)) :
𝓣ᶠ([ofCrAnState φ1, [ofCrAnState φ2, ofCrAnState φ3]ₛca]ₛca) = 0 := by
@ -272,7 +271,6 @@ lemma timeOrder_superCommute_ofCrAnState_superCommute_all_not_crAnTimeOrderRel
refine False.elim (h ?_)
exact IsTrans.trans φ3 φ2 φ1 h32 h21
lemma timeOrder_superCommute_ofCrAnState_ofCrAnState_eq_time
{φ ψ : 𝓕.CrAnStates} (h1 : crAnTimeOrderRel φ ψ) (h2 : crAnTimeOrderRel ψ φ) :
𝓣ᶠ([ofCrAnState φ, ofCrAnState ψ]ₛca) = [ofCrAnState φ, ofCrAnState ψ]ₛca := by