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feat: Grading on FieldOpAlgebra

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jstoobysmith 2025-02-05 07:22:14 +00:00
parent 35445a5be6
commit 7d9e6af80c
10 changed files with 609 additions and 160 deletions
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8
HepLean/PerturbationTheory/FieldOpAlgebra/SuperCommute.lean
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@ -21,14 +21,14 @@ variable {𝓕 : FieldSpecification}
lemma ι_superCommuteF_eq_zero_of_ι_right_zero (a b : 𝓕.FieldOpFreeAlgebra) (h : ι b = 0) :
ι [a, b]ₛca = 0 := by
rw [superCommuteF_expand_bosonicProj_fermionicProj]
rw [ι_eq_zero_iff_ι_bosonicProj_fermonicProj_zero] at h
rw [superCommuteF_expand_bosonicProjF_fermionicProjF]
rw [ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero] at h
simp_all
lemma ι_superCommuteF_eq_zero_of_ι_left_zero (a b : 𝓕.FieldOpFreeAlgebra) (h : ι a = 0) :
ι [a, b]ₛca = 0 := by
rw [superCommuteF_expand_bosonicProj_fermionicProj]
rw [ι_eq_zero_iff_ι_bosonicProj_fermonicProj_zero] at h
rw [superCommuteF_expand_bosonicProjF_fermionicProjF]
rw [ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero] at h
simp_all
/-!