Documentation Verification Report

Basic

📁 Source: PhysLean/QFT/PerturbationTheory/WickAlgebra/Basic.lean

Statistics

MetricCount
DefinitionsWickAlgebra, anPart, crPart, instSetoidFieldOpFreeAlgebra, ofCrAnList, ofCrAnOp, ofFieldOp, ofFieldOpList, ι, fieldOpIdealSet
10
TheoremsanPart_eq_ι_anPartF, anPart_inAsymp, anPart_outAsymp, anPart_outAsymp_eq_ofFieldOp, anPart_position, bosonicProjF_mem_fieldOpIdealSet_or_zero, bosonicProjF_mem_ideal, crPart_eq_ι_crPartF, crPart_inAsymp, crPart_inAsymp_eq_ofFieldOp, crPart_outAsymp, crPart_position, equiv_iff_exists_add, equiv_iff_sub_mem_ideal, fermionicProjF_mem_fieldOpIdealSet_or_zero, fermionicProjF_mem_ideal, ofCrAnList_append, ofCrAnList_eq_ι_ofCrAnListF, ofCrAnList_singleton, ofCrAnOp_eq_ι_ofCrAnOpF, ofFieldOpList_append, ofFieldOpList_cons, ofFieldOpList_eq_sum, ofFieldOpList_eq_ι_ofFieldOpListF, ofFieldOpList_singleton, ofFieldOp_eq_crPart_add_anPart, ofFieldOp_eq_sum, ofFieldOp_eq_ι_ofFieldOpF, ι_apply, ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF, ι_eq_zero_iff_mem_ideal, ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero, ι_of_mem_fieldOpIdealSet, ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero, ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_mem_center, ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF, ι_superCommuteF_of_annihilate_annihilate, ι_superCommuteF_of_create_create, ι_superCommuteF_of_diff_statistic, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF, ι_superCommuteF_zero_of_fermionic, ι_surjective
44
Total54

FieldSpecification

Definitions

NameCategoryTheorems
WickAlgebra 📖CompOp
225 mathmath: WickAlgebra.fermionicProjFree_eq_of_equiv, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_not_ordered_eq_timeOrder, WickAlgebra.timeOrder_ofFieldOpList_nil, WickContraction.wickTerm_insert_some, WickAlgebra.fermionicProj_fermionicProj_eq_fermionicProj, WickAlgebra.timeContract_eq_smul, WickAlgebra.normalOrder_ofFieldOp_mul_ofFieldOp, WickContraction.staticContract_insert_some_of_lt, WickAlgebra.ofFieldOp_mul_ofFieldOpList_eq_superCommute, WickAlgebra.normalOrder_ofCrAnList_nil, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_diff_stat_zero, WickAlgebra.ofFieldOp_mul_normalOrder_ofFieldOpList_eq_superCommute, WickAlgebra.timeOrder_ofFieldOpList_singleton, WickAlgebra.fermionicProjFree_eq_ι_fermionicProjF, WickContraction.staticWickTerm_insert_zero_some, WickAlgebra.anPart_mul_normalOrder_ofFieldOpList_eq_superCommute_reorder, WickAlgebra.crPart_outAsymp, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero, WickAlgebra.ofFieldOp_eq_sum, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF_ofCrAnListF, WickAlgebra.bosonicProj_fermionicProj_eq_zero, wicks_theorem_congr, WickAlgebra.crPart_eq_ι_crPartF, WickAlgebra.timeOrder_superCommute_eq_time_left, WickContraction.EqTimeOnly.timeOrder_staticContract_of_not_mem, WickAlgebra.normalOrder_normalOrder_right, WickAlgebra.wicks_theorem_normal_order_empty, WickAlgebra.normalOrder_anPart_mul_anPart, WickContraction.join_sign_timeContract, WickAlgebra.bosonicProj_of_bosonic_part, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_mem_center, WickAlgebra.timeOrder_superCommute_anPart_ofFieldOp_neq_time, WickAlgebra.timeContract_outAsymp_outAsymp, WickAlgebra.normalOrder_ofFieldOpList_nil, WickAlgebra.ofFieldOpList_normalOrder_insert, WickAlgebra.anPart_mul_normalOrder_ofFieldOpList_eq_superCommute, WickAlgebra.timeOrder_timeOrder_left, WickAlgebra.ι_normalOrderF_eq_of_equiv, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_mid, WickAlgebra.timeContract_zero_of_diff_grade, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul_left, WickContraction.wickTerm_insert_none, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_symm, WickAlgebra.normalOrder_eq_ι_normalOrderF, WickAlgebra.superCommute_ofCrAnList_ofCrAnList, WickAlgebra.timeOrder_timeOrder, WickAlgebra.ofFieldOp_eq_crPart_add_anPart, WickAlgebra.superCommuteRight_apply_quot, WickAlgebra.ι_of_mem_fieldOpIdealSet, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_mid_induction, WickAlgebra.ofCrAnOp_superCommute_normalOrder_ofCrAnList_sum, WickAlgebra.bosonicProj_add_fermionicProj, WickAlgebra.normalOrder_superCommute_left_eq_zero, WickAlgebra.timeOrder_timeContract_eq_time_left, WickAlgebra.mem_fermionic_iff_bosonicProj_eq_zero, WickAlgebra.ι_surjective, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnOpF_eq_zero_mul, WickAlgebra.timeOrder_superCommute_eq_time_mid, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_commute, WickAlgebra.anPart_superCommute_normalOrder_ofFieldOpList_sum, WickAlgebra.ofFieldOpList_append, WickAlgebra.anPart_eq_ι_anPartF, WickAlgebra.timeOrder_eq_maxTimeField_mul_finset, WickAlgebra.ι_superCommuteF_of_diff_statistic, WickAlgebra.timeOrder_eq_ι_timeOrderF, WickAlgebra.timeContract_of_not_timeOrderRel_expand, WickAlgebra.ofCrAnList_eq_normalOrder, WickAlgebra.normalOrder_crPart_mul_crPart, WickAlgebra.superCommute_ofFieldOpList_ofFieldOpList, WickAlgebra.superCommute_ofCrAnList_ofFieldOpList, WickContraction.timeContract_insert_some_of_not_lt, WickAlgebra.normalOrder_crPart_mul_anPart, WickAlgebra.ι_apply, WickAlgebra.mem_fermionic_of_mem_free_fermionic, WickAlgebra.ofCrAnOp_mul_ofCrAnList_eq_superCommute, WickAlgebra.ofFieldOpList_eq_sum, WickAlgebra.normalOrder_ofCrAnOp_ofFieldOpList_swap, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF, WickAlgebra.mem_bosonic_of_mem_free_bosonic, WickAlgebra.timeOrder_timeOrder_right, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_ordered, WickAlgebra.wicks_theorem_normal_order, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero_mul, WickAlgebra.anPart_mul_anPart_swap, WickContraction.join_timeContract, WickAlgebra.superCommute_anPart_ofFieldOp, WickAlgebra.superCommute_ofFieldOp_ofFieldOpList, WickAlgebra.bosonicProj_bosonicProj_eq_bosonicProj, WickContraction.join_staticContract, WickContraction.staticContract_of_not_gradingCompliant, WickAlgebra.superCommute_ofCrAnList_ofFieldOpList_eq_sum, WickContraction.wickTerm_empty_nil, WickContraction.timeContract_insert_some_of_lt, WickAlgebra.superCommute_anPart_ofFieldOpList, WickAlgebra.timeOrder_timeContract_eq_time_mid, WickContraction.staticContract_insert_some, WickAlgebra.fermionicProj_eq_fermionicProjFree, WickAlgebra.normalOrder_normalOrder_left, WickAlgebra.fermionicProj_of_fermionic_part, WickAlgebra.bosonicProj_eq_bosonicProjFree, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero, WickAlgebra.mem_bosonic_iff_fermionicProj_eq_zero, WickAlgebra.normalOrder_normalOrder, WickAlgebra.bosonicProj_of_fermionic_part, WickContraction.mul_staticWickTerm_eq_sum, WickAlgebra.ofFieldOpList_eq_ι_ofFieldOpListF, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul_mul_right, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_mem_center, WickAlgebra.ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero, WickAlgebra.ι_normalOrderF_zero_of_mem_ideal, WickAlgebra.superCommute_ofCrAnList_ofCrAnList_symm, WickAlgebra.static_wick_theorem, WickContraction.timeContract_empty, WickAlgebra.ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF, WickAlgebra.normalOrder_superCommute_right_eq_zero, WickAlgebra.normalOrder_timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, WickAlgebra.timeOrder_superCommute_neq_time, WickAlgebra.superCommute_crPart_anPart, WickAlgebra.ι_superCommuteF_of_annihilate_annihilate, WickAlgebra.ι_timeOrderF_superCommuteF_eq_time, WickAlgebra.superCommute_crPart_ofFieldOpList, WickAlgebra.ofFieldOpList_cons, WickContraction.mul_wickTerm_eq_sum, WickAlgebra.timeContract_mem_center, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_left, WickAlgebra.universalLiftMap_ι, WickContraction.staticWickTerm_empty_nil, WickAlgebra.fermionicProj_of_bosonic_part, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_not_ordered, WickAlgebra.normalOrder_uncontracted_none, WickAlgebra.superCommute_ofFieldOpList_ofFieldOp, WickAlgebra.normalOrder_anPart_mul_crPart, WickAlgebra.ofCrAnList_mem_statSubmodule, WickAlgebra.ι_normalOrder_superCommuteF_eq_zero_mul_right, WickAlgebra.normalOrder_superCommute_eq_zero, WickAlgebra.superCommute_create_create, WickAlgebra.ι_superCommuteF_zero_of_fermionic, WickAlgebra.ofFieldOp_mul_normalOrder_ofFieldOpList_eq_sum, WickAlgebra.crPart_mul_crPart_swap, WickAlgebra.ι_timeOrderF_superCommuteF_neq_time, WickAlgebra.timeOrder_timeContract_neq_time, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul, WickAlgebra.ofFieldOp_eq_ι_ofFieldOpF, WickAlgebra.superCommuteRight_apply_ι, WickAlgebra.mem_statSubmodule_of_mem_statisticSubmodule, WickAlgebra.normalOrder_ofFieldOpList_anPart_swap, WickAlgebra.ofFieldOp_mul_ofFieldOp_eq_superCommute, WickContraction.timeContract_of_not_gradingCompliant, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF_eq_time_ofCrAnListF, WickAlgebra.ι_superCommuteF_right_zero_of_mem_ideal, WickAlgebra.universalLift_ι, WickAlgebra.ofCrAnList_mul_ofCrAnList_eq_superCommute, WickAlgebra.anPart_inAsymp, WickAlgebra.bosonicProjFree_eq_ι_bosonicProjF, WickAlgebra.anPart_mul_crPart_eq_superCommute, WickAlgebra.fermionicProj_bosonicProj_eq_zero, WickAlgebra.superCommute_anPart_crPart, WickAlgebra.superCommute_ofCrAnOp_ofCrAnList_eq_sum, WickAlgebra.ofCrAnList_mul_ofFieldOpList_eq_superCommute, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF, WickAlgebra.timeContract_of_timeOrderRel, WickContraction.EqTimeOnly.timeOrder_timeContract_of_not_eqTimeOnly, WickAlgebra.normalOrder_uncontracted_some, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra, WickAlgebra.superCommute_crPart_ofFieldOp, WickAlgebra.normalOrder_ofCrAnOp_ofCrAnList, WickAlgebra.normalOrder_ofCrAnList, WickAlgebra.normalOrder_timeOrder_ofFieldOpList_eq_not_haveEqTime_sub_inductive, WickAlgebra.ofCrAnList_append, WickAlgebra.superCommute_ofCrAnList_ofCrAnList_eq_sum, WickContraction.timeContract_insertAndContract_some, WickAlgebra.ofFieldOpList_mul_ofFieldOpList_eq_superCommute, WickAlgebra.superCommute_anPart_ofFieldOp_mem_center, WickAlgebra.ofCrAnOp_eq_ι_ofCrAnOpF, WickAlgebra.timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, WickAlgebra.bosonicProjFree_eq_of_equiv, WickAlgebra.superCommute_crPart_crPart, WickAlgebra.normalOrder_timeContract, WickAlgebra.directSum_eq_bosonic_plus_fermionic, WickAlgebra.normalOrder_anPart_ofFieldOpList_swap, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero, WickAlgebra.normalOrder_mul_anPart, WickAlgebra.normalOrder_ofFieldOpList_mul_anPart_swap, WickAlgebra.ofCrAnList_eq_ι_ofCrAnListF, WickAlgebra.superCommute_anPart_ofFieldOpF_diff_grade_zero, WickAlgebra.superCommute_ofCrAnOp_ofFieldOpList_eq_sum, WickContraction.staticWickTerm_insert_zero_none, WickAlgebra.ofFieldOpList_mul_ofFieldOp_eq_superCommute, WickAlgebra.timeOrder_timeOrder_mid, WickAlgebra.normalOrder_ofFieldOp_ofFieldOp_swap, WickAlgebra.normalOrder_normalOrder_mid, WickAlgebra.normalOrder_superCommute_mid_eq_zero, WickAlgebra.coeAddMonoidHom_apply_eq_bosonic_plus_fermionic, WickContraction.singleton_staticContract, WickAlgebra.ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero, WickAlgebra.ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_mem_center, WickAlgebra.ι_eq_zero_iff_mem_ideal, WickAlgebra.crPart_mul_normalOrder, WickAlgebra.ι_superCommuteF_of_create_create, WickAlgebra.ofCrAnOp_superCommute_normalOrder_ofFieldOpList_sum, WickAlgebra.ofCrAnList_mem_statSubmodule_of_eq, WickAlgebra.universality, WickAlgebra.ι_timeOrderF_eq_of_equiv, WickAlgebra.timeContract_inAsymp_inAsymp, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_commute, WickAlgebra.ι_timeOrderF_zero_of_mem_ideal, WickAlgebra.superCommute_annihilate_annihilate, WickAlgebra.crPart_mul_anPart_eq_superCommute, WickContraction.singleton_timeContract, wicks_theorem, WickAlgebra.normalOrder_one_eq_one, WickAlgebra.timeOrder_haveEqTime_split, WickAlgebra.ι_superCommuteF_eq_of_equiv_right, WickAlgebra.timeContract_of_not_timeOrderRel, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero_mul, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnOpF_ofCrAnListF_eq_zero_mul, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnOpF_eq_zero_mul, WickAlgebra.timeOrder_ofFieldOpList_eqTimeOnly, WickAlgebra.superCommute_eq_ι_superCommuteF, WickAlgebra.superCommute_anPart_anPart, WickAlgebra.superCommute_diff_statistic, WickAlgebra.timeContract_eq_superCommute, WickAlgebra.ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF
fieldOpIdealSet 📖CompOp
223 mathmath: WickAlgebra.fermionicProjFree_eq_of_equiv, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_not_ordered_eq_timeOrder, WickAlgebra.timeOrder_ofFieldOpList_nil, WickContraction.wickTerm_insert_some, WickAlgebra.fermionicProj_fermionicProj_eq_fermionicProj, WickAlgebra.timeContract_eq_smul, WickAlgebra.normalOrder_ofFieldOp_mul_ofFieldOp, WickContraction.staticContract_insert_some_of_lt, WickAlgebra.ofFieldOp_mul_ofFieldOpList_eq_superCommute, WickAlgebra.normalOrder_ofCrAnList_nil, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_diff_stat_zero, WickAlgebra.ofFieldOp_mul_normalOrder_ofFieldOpList_eq_superCommute, WickAlgebra.timeOrder_ofFieldOpList_singleton, WickAlgebra.fermionicProjFree_eq_ι_fermionicProjF, WickContraction.staticWickTerm_insert_zero_some, WickAlgebra.anPart_mul_normalOrder_ofFieldOpList_eq_superCommute_reorder, WickAlgebra.crPart_outAsymp, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero, WickAlgebra.ofFieldOp_eq_sum, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF_ofCrAnListF, WickAlgebra.bosonicProj_fermionicProj_eq_zero, wicks_theorem_congr, WickAlgebra.crPart_eq_ι_crPartF, WickAlgebra.equiv_iff_exists_add, WickAlgebra.timeOrder_superCommute_eq_time_left, WickContraction.EqTimeOnly.timeOrder_staticContract_of_not_mem, WickAlgebra.normalOrder_normalOrder_right, WickAlgebra.wicks_theorem_normal_order_empty, WickAlgebra.normalOrder_anPart_mul_anPart, WickContraction.join_sign_timeContract, WickAlgebra.bosonicProj_of_bosonic_part, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_mem_center, WickAlgebra.timeOrder_superCommute_anPart_ofFieldOp_neq_time, WickAlgebra.timeContract_outAsymp_outAsymp, WickAlgebra.normalOrder_ofFieldOpList_nil, WickAlgebra.ofFieldOpList_normalOrder_insert, WickAlgebra.anPart_mul_normalOrder_ofFieldOpList_eq_superCommute, WickAlgebra.timeOrder_timeOrder_left, WickAlgebra.ι_normalOrderF_eq_of_equiv, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_mid, WickAlgebra.timeContract_zero_of_diff_grade, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul_left, WickContraction.wickTerm_insert_none, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_symm, WickAlgebra.normalOrder_eq_ι_normalOrderF, WickAlgebra.superCommute_ofCrAnList_ofCrAnList, WickAlgebra.timeOrder_timeOrder, WickAlgebra.ofFieldOp_eq_crPart_add_anPart, WickAlgebra.superCommuteRight_apply_quot, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_mid_induction, WickAlgebra.ofCrAnOp_superCommute_normalOrder_ofCrAnList_sum, WickAlgebra.bosonicProj_add_fermionicProj, WickAlgebra.normalOrder_superCommute_left_eq_zero, WickAlgebra.timeOrder_timeContract_eq_time_left, WickAlgebra.mem_fermionic_iff_bosonicProj_eq_zero, WickAlgebra.ι_surjective, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnOpF_eq_zero_mul, WickAlgebra.timeOrder_superCommute_eq_time_mid, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_commute, WickAlgebra.anPart_superCommute_normalOrder_ofFieldOpList_sum, WickAlgebra.ofFieldOpList_append, WickAlgebra.anPart_eq_ι_anPartF, WickAlgebra.timeOrder_eq_maxTimeField_mul_finset, WickAlgebra.ι_superCommuteF_of_diff_statistic, WickAlgebra.timeOrder_eq_ι_timeOrderF, WickAlgebra.timeContract_of_not_timeOrderRel_expand, WickAlgebra.ofCrAnList_eq_normalOrder, WickAlgebra.normalOrder_crPart_mul_crPart, WickAlgebra.superCommute_ofFieldOpList_ofFieldOpList, WickAlgebra.superCommute_ofCrAnList_ofFieldOpList, WickContraction.timeContract_insert_some_of_not_lt, WickAlgebra.normalOrder_crPart_mul_anPart, WickAlgebra.ι_apply, WickAlgebra.mem_fermionic_of_mem_free_fermionic, WickAlgebra.ofCrAnOp_mul_ofCrAnList_eq_superCommute, WickAlgebra.ofFieldOpList_eq_sum, WickAlgebra.normalOrder_ofCrAnOp_ofFieldOpList_swap, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF, WickAlgebra.mem_bosonic_of_mem_free_bosonic, WickAlgebra.timeOrder_timeOrder_right, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_ordered, WickAlgebra.wicks_theorem_normal_order, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero_mul, WickAlgebra.anPart_mul_anPart_swap, WickContraction.join_timeContract, WickAlgebra.superCommute_anPart_ofFieldOp, WickAlgebra.superCommute_ofFieldOp_ofFieldOpList, WickAlgebra.bosonicProj_bosonicProj_eq_bosonicProj, WickContraction.join_staticContract, WickContraction.staticContract_of_not_gradingCompliant, WickAlgebra.superCommute_ofCrAnList_ofFieldOpList_eq_sum, WickContraction.wickTerm_empty_nil, WickContraction.timeContract_insert_some_of_lt, WickAlgebra.superCommute_anPart_ofFieldOpList, WickAlgebra.timeOrder_timeContract_eq_time_mid, WickContraction.staticContract_insert_some, WickAlgebra.fermionicProj_eq_fermionicProjFree, WickAlgebra.normalOrder_normalOrder_left, WickAlgebra.fermionicProj_of_fermionic_part, WickAlgebra.bosonicProj_eq_bosonicProjFree, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero, WickAlgebra.mem_bosonic_iff_fermionicProj_eq_zero, WickAlgebra.normalOrder_normalOrder, WickAlgebra.bosonicProj_of_fermionic_part, WickContraction.mul_staticWickTerm_eq_sum, WickAlgebra.ofFieldOpList_eq_ι_ofFieldOpListF, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul_mul_right, WickAlgebra.superCommute_ofCrAnOp_ofFieldOp_mem_center, WickAlgebra.ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero, WickAlgebra.superCommute_ofCrAnList_ofCrAnList_symm, WickAlgebra.static_wick_theorem, WickContraction.timeContract_empty, WickAlgebra.ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF, WickAlgebra.normalOrder_superCommute_right_eq_zero, WickAlgebra.normalOrder_timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, WickAlgebra.timeOrder_superCommute_neq_time, WickAlgebra.superCommute_crPart_anPart, WickAlgebra.ι_superCommuteF_of_annihilate_annihilate, WickAlgebra.ι_timeOrderF_superCommuteF_eq_time, WickAlgebra.superCommute_crPart_ofFieldOpList, WickAlgebra.ofFieldOpList_cons, WickContraction.mul_wickTerm_eq_sum, WickAlgebra.timeContract_mem_center, WickContraction.EqTimeOnly.timeOrder_timeContract_mul_of_eqTimeOnly_left, WickAlgebra.universalLiftMap_ι, WickContraction.staticWickTerm_empty_nil, WickAlgebra.fermionicProj_of_bosonic_part, WickAlgebra.timeOrder_ofFieldOp_ofFieldOp_not_ordered, WickAlgebra.normalOrder_uncontracted_none, WickAlgebra.superCommute_ofFieldOpList_ofFieldOp, WickAlgebra.normalOrder_anPart_mul_crPart, WickAlgebra.ofCrAnList_mem_statSubmodule, WickAlgebra.ι_normalOrder_superCommuteF_eq_zero_mul_right, WickAlgebra.normalOrder_superCommute_eq_zero, WickAlgebra.superCommute_create_create, WickAlgebra.ι_superCommuteF_zero_of_fermionic, WickAlgebra.ofFieldOp_mul_normalOrder_ofFieldOpList_eq_sum, WickAlgebra.crPart_mul_crPart_swap, WickAlgebra.ι_timeOrderF_superCommuteF_neq_time, WickAlgebra.timeOrder_timeContract_neq_time, WickAlgebra.ι_normalOrderF_superCommuteF_eq_zero_mul, WickAlgebra.ofFieldOp_eq_ι_ofFieldOpF, WickAlgebra.superCommuteRight_apply_ι, WickAlgebra.mem_statSubmodule_of_mem_statisticSubmodule, WickAlgebra.normalOrder_ofFieldOpList_anPart_swap, WickAlgebra.ofFieldOp_mul_ofFieldOp_eq_superCommute, WickContraction.timeContract_of_not_gradingCompliant, WickAlgebra.ι_timeOrderF_superCommuteF_superCommuteF_eq_time_ofCrAnListF, WickAlgebra.universalLift_ι, WickAlgebra.ofCrAnList_mul_ofCrAnList_eq_superCommute, WickAlgebra.anPart_inAsymp, WickAlgebra.bosonicProjFree_eq_ι_bosonicProjF, WickAlgebra.anPart_mul_crPart_eq_superCommute, WickAlgebra.fermionicProj_bosonicProj_eq_zero, WickAlgebra.superCommute_anPart_crPart, WickAlgebra.superCommute_ofCrAnOp_ofCrAnList_eq_sum, WickAlgebra.ofCrAnList_mul_ofFieldOpList_eq_superCommute, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF, WickAlgebra.timeContract_of_timeOrderRel, WickContraction.EqTimeOnly.timeOrder_timeContract_of_not_eqTimeOnly, WickAlgebra.normalOrder_uncontracted_some, WickAlgebra.equiv_iff_sub_mem_ideal, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra, WickAlgebra.superCommute_crPart_ofFieldOp, WickAlgebra.normalOrder_ofCrAnOp_ofCrAnList, WickAlgebra.normalOrder_ofCrAnList, WickAlgebra.normalOrder_timeOrder_ofFieldOpList_eq_not_haveEqTime_sub_inductive, WickAlgebra.ofCrAnList_append, WickAlgebra.superCommute_ofCrAnList_ofCrAnList_eq_sum, WickContraction.timeContract_insertAndContract_some, WickAlgebra.ofFieldOpList_mul_ofFieldOpList_eq_superCommute, WickAlgebra.superCommute_anPart_ofFieldOp_mem_center, WickAlgebra.ofCrAnOp_eq_ι_ofCrAnOpF, WickAlgebra.timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, WickAlgebra.bosonicProjFree_eq_of_equiv, WickAlgebra.superCommute_crPart_crPart, WickAlgebra.normalOrder_timeContract, WickAlgebra.directSum_eq_bosonic_plus_fermionic, WickAlgebra.normalOrder_anPart_ofFieldOpList_swap, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero, WickAlgebra.normalOrder_mul_anPart, WickAlgebra.normalOrder_ofFieldOpList_mul_anPart_swap, WickAlgebra.ofCrAnList_eq_ι_ofCrAnListF, WickAlgebra.superCommute_anPart_ofFieldOpF_diff_grade_zero, WickAlgebra.superCommute_ofCrAnOp_ofFieldOpList_eq_sum, WickContraction.staticWickTerm_insert_zero_none, WickAlgebra.ofFieldOpList_mul_ofFieldOp_eq_superCommute, WickAlgebra.timeOrder_timeOrder_mid, WickAlgebra.normalOrder_ofFieldOp_ofFieldOp_swap, WickAlgebra.normalOrder_normalOrder_mid, WickAlgebra.normalOrder_superCommute_mid_eq_zero, WickAlgebra.coeAddMonoidHom_apply_eq_bosonic_plus_fermionic, WickContraction.singleton_staticContract, WickAlgebra.ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero, WickAlgebra.ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_mem_center, WickAlgebra.ι_eq_zero_iff_mem_ideal, WickAlgebra.crPart_mul_normalOrder, WickAlgebra.ι_superCommuteF_of_create_create, WickAlgebra.ofCrAnOp_superCommute_normalOrder_ofFieldOpList_sum, WickAlgebra.ofCrAnList_mem_statSubmodule_of_eq, WickAlgebra.universality, WickAlgebra.ι_timeOrderF_eq_of_equiv, WickAlgebra.timeContract_inAsymp_inAsymp, WickAlgebra.superCommute_ofCrAnOp_ofCrAnOp_commute, WickAlgebra.superCommute_annihilate_annihilate, WickAlgebra.crPart_mul_anPart_eq_superCommute, WickContraction.singleton_timeContract, wicks_theorem, WickAlgebra.normalOrder_one_eq_one, WickAlgebra.timeOrder_haveEqTime_split, WickAlgebra.ι_superCommuteF_eq_of_equiv_right, WickAlgebra.timeContract_of_not_timeOrderRel, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero_mul, WickAlgebra.ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnOpF_ofCrAnListF_eq_zero_mul, WickAlgebra.ι_normalOrderF_superCommuteF_ofCrAnOpF_eq_zero_mul, WickAlgebra.timeOrder_ofFieldOpList_eqTimeOnly, WickAlgebra.superCommute_eq_ι_superCommuteF, WickAlgebra.superCommute_anPart_anPart, WickAlgebra.superCommute_diff_statistic, WickAlgebra.timeContract_eq_superCommute, WickAlgebra.ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF

FieldSpecification.WickAlgebra

Definitions

NameCategoryTheorems
anPart 📖CompOp
34 mathmath: normalOrder_ofFieldOp_mul_ofFieldOp, ofFieldOp_mul_normalOrder_ofFieldOpList_eq_superCommute, anPart_mul_normalOrder_ofFieldOpList_eq_superCommute_reorder, normalOrder_anPart_mul_anPart, timeOrder_superCommute_anPart_ofFieldOp_neq_time, anPart_mul_normalOrder_ofFieldOpList_eq_superCommute, ofFieldOp_eq_crPart_add_anPart, anPart_superCommute_normalOrder_ofFieldOpList_sum, anPart_eq_ι_anPartF, timeContract_of_not_timeOrderRel_expand, normalOrder_crPart_mul_anPart, anPart_mul_anPart_swap, superCommute_anPart_ofFieldOp, anPart_outAsymp_eq_ofFieldOp, superCommute_anPart_ofFieldOpList, WickContraction.staticContract_insert_some, superCommute_crPart_anPart, normalOrder_anPart_mul_crPart, anPart_outAsymp, normalOrder_ofFieldOpList_anPart_swap, anPart_position, anPart_inAsymp, anPart_mul_crPart_eq_superCommute, superCommute_anPart_crPart, timeContract_of_timeOrderRel, superCommute_anPart_ofFieldOp_mem_center, normalOrder_anPart_ofFieldOpList_swap, normalOrder_mul_anPart, normalOrder_ofFieldOpList_mul_anPart_swap, superCommute_anPart_ofFieldOpF_diff_grade_zero, WickContraction.singleton_staticContract, crPart_mul_anPart_eq_superCommute, superCommute_anPart_anPart, timeContract_eq_superCommute
crPart 📖CompOp
19 mathmath: normalOrder_ofFieldOp_mul_ofFieldOp, crPart_outAsymp, crPart_eq_ι_crPartF, ofFieldOp_eq_crPart_add_anPart, normalOrder_crPart_mul_crPart, normalOrder_crPart_mul_anPart, superCommute_crPart_anPart, superCommute_crPart_ofFieldOpList, normalOrder_anPart_mul_crPart, crPart_mul_crPart_swap, anPart_mul_crPart_eq_superCommute, superCommute_anPart_crPart, crPart_position, superCommute_crPart_ofFieldOp, superCommute_crPart_crPart, crPart_inAsymp_eq_ofFieldOp, crPart_mul_normalOrder, crPart_mul_anPart_eq_superCommute, crPart_inAsymp
instSetoidFieldOpFreeAlgebra 📖CompOp
2 mathmath: equiv_iff_exists_add, equiv_iff_sub_mem_ideal
ofCrAnList 📖CompOp
20 mathmath: normalOrder_ofCrAnList_nil, superCommute_ofCrAnList_ofCrAnList, ofCrAnOp_superCommute_normalOrder_ofCrAnList_sum, ofCrAnList_eq_normalOrder, superCommute_ofCrAnList_ofFieldOpList, ofCrAnOp_mul_ofCrAnList_eq_superCommute, ofFieldOpList_eq_sum, superCommute_ofCrAnList_ofFieldOpList_eq_sum, ofCrAnList_singleton, superCommute_ofCrAnList_ofCrAnList_symm, ofCrAnList_mem_statSubmodule, ofCrAnList_mul_ofCrAnList_eq_superCommute, superCommute_ofCrAnOp_ofCrAnList_eq_sum, ofCrAnList_mul_ofFieldOpList_eq_superCommute, normalOrder_ofCrAnOp_ofCrAnList, normalOrder_ofCrAnList, ofCrAnList_append, superCommute_ofCrAnList_ofCrAnList_eq_sum, ofCrAnList_eq_ι_ofCrAnListF, ofCrAnList_mem_statSubmodule_of_eq
ofCrAnOp 📖CompOp
28 mathmath: superCommute_ofCrAnOp_ofCrAnOp, superCommute_ofCrAnOp_ofFieldOp_diff_stat_zero, ofFieldOp_eq_sum, timeOrder_superCommute_eq_time_left, superCommute_ofCrAnOp_ofCrAnOp_mem_center, superCommute_ofCrAnOp_ofCrAnOp_symm, ofCrAnOp_superCommute_normalOrder_ofCrAnList_sum, timeOrder_superCommute_eq_time_mid, superCommute_ofCrAnOp_ofFieldOp_commute, ofCrAnOp_mul_ofCrAnList_eq_superCommute, normalOrder_ofCrAnOp_ofFieldOpList_swap, ofCrAnList_singleton, superCommute_ofCrAnOp_ofFieldOp_mem_center, timeOrder_superCommute_neq_time, anPart_outAsymp, superCommute_create_create, anPart_position, crPart_position, superCommute_ofCrAnOp_ofCrAnList_eq_sum, normalOrder_ofCrAnOp_ofCrAnList, superCommute_ofCrAnList_ofCrAnList_eq_sum, ofCrAnOp_eq_ι_ofCrAnOpF, superCommute_ofCrAnOp_ofFieldOpList_eq_sum, ofCrAnOp_superCommute_normalOrder_ofFieldOpList_sum, superCommute_ofCrAnOp_ofCrAnOp_commute, superCommute_annihilate_annihilate, crPart_inAsymp, superCommute_diff_statistic
ofFieldOp 📖CompOp
39 mathmath: timeOrder_ofFieldOp_ofFieldOp_not_ordered_eq_timeOrder, timeContract_eq_smul, normalOrder_ofFieldOp_mul_ofFieldOp, ofFieldOp_mul_ofFieldOpList_eq_superCommute, superCommute_ofCrAnOp_ofFieldOp_diff_stat_zero, ofFieldOp_mul_normalOrder_ofFieldOpList_eq_superCommute, ofFieldOp_eq_sum, timeOrder_superCommute_anPart_ofFieldOp_neq_time, ofFieldOp_eq_crPart_add_anPart, superCommute_ofCrAnOp_ofFieldOp_commute, timeOrder_eq_maxTimeField_mul_finset, timeContract_of_not_timeOrderRel_expand, timeOrder_ofFieldOp_ofFieldOp_ordered, superCommute_anPart_ofFieldOp, superCommute_ofFieldOp_ofFieldOpList, anPart_outAsymp_eq_ofFieldOp, superCommute_ofCrAnList_ofFieldOpList_eq_sum, WickContraction.staticContract_insert_some, WickContraction.mul_staticWickTerm_eq_sum, superCommute_ofCrAnOp_ofFieldOp_mem_center, ofFieldOpList_singleton, ofFieldOpList_cons, WickContraction.mul_wickTerm_eq_sum, timeOrder_ofFieldOp_ofFieldOp_not_ordered, superCommute_ofFieldOpList_ofFieldOp, ofFieldOp_mul_normalOrder_ofFieldOpList_eq_sum, ofFieldOp_eq_ι_ofFieldOpF, ofFieldOp_mul_ofFieldOp_eq_superCommute, timeContract_of_timeOrderRel, superCommute_crPart_ofFieldOp, superCommute_anPart_ofFieldOp_mem_center, superCommute_anPart_ofFieldOpF_diff_grade_zero, crPart_inAsymp_eq_ofFieldOp, superCommute_ofCrAnOp_ofFieldOpList_eq_sum, ofFieldOpList_mul_ofFieldOp_eq_superCommute, normalOrder_ofFieldOp_ofFieldOp_swap, WickContraction.singleton_staticContract, ofCrAnOp_superCommute_normalOrder_ofFieldOpList_sum, timeContract_eq_superCommute
ofFieldOpList 📖CompOp
47 mathmath: timeOrder_ofFieldOpList_nil, WickContraction.wickTerm_insert_some, ofFieldOp_mul_ofFieldOpList_eq_superCommute, ofFieldOp_mul_normalOrder_ofFieldOpList_eq_superCommute, timeOrder_ofFieldOpList_singleton, WickContraction.staticWickTerm_insert_zero_some, anPart_mul_normalOrder_ofFieldOpList_eq_superCommute_reorder, wicks_theorem_normal_order_empty, normalOrder_ofFieldOpList_nil, ofFieldOpList_normalOrder_insert, anPart_mul_normalOrder_ofFieldOpList_eq_superCommute, WickContraction.wickTerm_insert_none, anPart_superCommute_normalOrder_ofFieldOpList_sum, ofFieldOpList_append, timeOrder_eq_maxTimeField_mul_finset, superCommute_ofFieldOpList_ofFieldOpList, superCommute_ofCrAnList_ofFieldOpList, ofFieldOpList_eq_sum, normalOrder_ofCrAnOp_ofFieldOpList_swap, wicks_theorem_normal_order, superCommute_ofFieldOp_ofFieldOpList, superCommute_ofCrAnList_ofFieldOpList_eq_sum, superCommute_anPart_ofFieldOpList, ofFieldOpList_eq_ι_ofFieldOpListF, static_wick_theorem, normalOrder_timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, ofFieldOpList_singleton, superCommute_crPart_ofFieldOpList, ofFieldOpList_cons, normalOrder_uncontracted_none, superCommute_ofFieldOpList_ofFieldOp, ofFieldOp_mul_normalOrder_ofFieldOpList_eq_sum, normalOrder_ofFieldOpList_anPart_swap, ofCrAnList_mul_ofFieldOpList_eq_superCommute, normalOrder_uncontracted_some, normalOrder_timeOrder_ofFieldOpList_eq_not_haveEqTime_sub_inductive, ofFieldOpList_mul_ofFieldOpList_eq_superCommute, timeOrder_ofFieldOpList_eq_eqTimeOnly_empty, normalOrder_anPart_ofFieldOpList_swap, normalOrder_ofFieldOpList_mul_anPart_swap, superCommute_ofCrAnOp_ofFieldOpList_eq_sum, WickContraction.staticWickTerm_insert_zero_none, ofFieldOpList_mul_ofFieldOp_eq_superCommute, ofCrAnOp_superCommute_normalOrder_ofFieldOpList_sum, FieldSpecification.wicks_theorem, timeOrder_haveEqTime_split, timeOrder_ofFieldOpList_eqTimeOnly
ι 📖CompOp
60 mathmath: fermionicProjFree_eq_ι_fermionicProjF, ι_normalOrderF_superCommuteF_eq_zero, ι_timeOrderF_superCommuteF_superCommuteF_ofCrAnListF, crPart_eq_ι_crPartF, ι_normalOrderF_eq_of_equiv, ι_normalOrderF_superCommuteF_eq_zero_mul_left, normalOrder_eq_ι_normalOrderF, superCommuteRight_apply_quot, ι_of_mem_fieldOpIdealSet, ι_surjective, ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnOpF_eq_zero_mul, anPart_eq_ι_anPartF, ι_superCommuteF_of_diff_statistic, timeOrder_eq_ι_timeOrderF, ι_apply, mem_fermionic_of_mem_free_fermionic, ι_timeOrderF_superCommuteF_superCommuteF, mem_bosonic_of_mem_free_bosonic, ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero_mul, fermionicProj_eq_fermionicProjFree, bosonicProj_eq_bosonicProjFree, ι_normalOrderF_superCommuteF_ofCrAnListF_ofCrAnListF_eq_zero, ofFieldOpList_eq_ι_ofFieldOpListF, ι_normalOrderF_superCommuteF_eq_zero_mul_mul_right, ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero, ι_normalOrderF_zero_of_mem_ideal, ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF, ι_superCommuteF_of_annihilate_annihilate, ι_timeOrderF_superCommuteF_eq_time, universalLiftMap_ι, ι_normalOrder_superCommuteF_eq_zero_mul_right, ι_superCommuteF_zero_of_fermionic, ι_timeOrderF_superCommuteF_neq_time, ι_normalOrderF_superCommuteF_eq_zero_mul, ofFieldOp_eq_ι_ofFieldOpF, superCommuteRight_apply_ι, mem_statSubmodule_of_mem_statisticSubmodule, ι_timeOrderF_superCommuteF_superCommuteF_eq_time_ofCrAnListF, ι_superCommuteF_right_zero_of_mem_ideal, universalLift_ι, bosonicProjFree_eq_ι_bosonicProjF, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra, ofCrAnOp_eq_ι_ofCrAnOpF, ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero, ofCrAnList_eq_ι_ofCrAnListF, ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero, ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_mem_center, ι_eq_zero_iff_mem_ideal, ι_superCommuteF_of_create_create, universality, ι_timeOrderF_eq_of_equiv, ι_timeOrderF_zero_of_mem_ideal, ι_superCommuteF_eq_of_equiv_right, ι_normalOrderF_superCommuteF_ofCrAnListF_eq_zero_mul, ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF, ι_normalOrderF_superCommuteF_ofCrAnOpF_ofCrAnListF_eq_zero_mul, ι_normalOrderF_superCommuteF_ofCrAnOpF_eq_zero_mul, superCommute_eq_ι_superCommuteF, ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF

Theorems

NameKindAssumesProvesValidatesDepends On
anPart_eq_ι_anPartF 📖mathematicalanPart
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.anPartF
anPart_inAsymp 📖mathematicalanPart
FieldSpecification.FieldOp.inAsymp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
anPart_outAsymp 📖mathematicalanPart
FieldSpecification.FieldOp.outAsymp
ofCrAnOp
FieldSpecification.FieldOp
FieldSpecification.fieldOpToCrAnType
FieldSpecification.FieldOpFreeAlgebra.anPartF_posAsymp
anPart_outAsymp_eq_ofFieldOp 📖mathematicalanPart
FieldSpecification.FieldOp.outAsymp
ofFieldOp
ofFieldOp_eq_crPart_add_anPart
anPart_outAsymp
crPart_outAsymp
anPart_position 📖mathematicalanPart
FieldSpecification.FieldOp.position
ofCrAnOp
FieldSpecification.FieldOp
FieldSpecification.fieldOpToCrAnType
CreateAnnihilate.annihilate
FieldSpecification.FieldOpFreeAlgebra.anPartF_position
bosonicProjF_mem_fieldOpIdealSet_or_zero 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.fieldOpIdealSet
FieldSpecification.CrAnFieldOp
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.bosonic
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_superCommuteF_ofCrAnOpF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF_of_mem_bosonic
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF_of_mem_fermionic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_fermionic
bosonicProjF_mem_ideal 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.bosonic
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF_mul
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF_mul
fermionicProjF_mem_fieldOpIdealSet_or_zero
bosonicProjF_mem_fieldOpIdealSet_or_zero
crPart_eq_ι_crPartF 📖mathematicalcrPart
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.crPartF
crPart_inAsymp 📖mathematicalcrPart
FieldSpecification.FieldOp.inAsymp
ofCrAnOp
FieldSpecification.FieldOp
FieldSpecification.fieldOpToCrAnType
FieldSpecification.FieldOpFreeAlgebra.crPartF_negAsymp
crPart_inAsymp_eq_ofFieldOp 📖mathematicalcrPart
FieldSpecification.FieldOp.inAsymp
ofFieldOp
ofFieldOp_eq_crPart_add_anPart
crPart_inAsymp
anPart_inAsymp
crPart_outAsymp 📖mathematicalcrPart
FieldSpecification.FieldOp.outAsymp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.FieldOpFreeAlgebra.crPartF_posAsymp
crPart_position 📖mathematicalcrPart
FieldSpecification.FieldOp.position
ofCrAnOp
FieldSpecification.FieldOp
FieldSpecification.fieldOpToCrAnType
CreateAnnihilate.create
FieldSpecification.FieldOpFreeAlgebra.crPartF_position
equiv_iff_exists_add 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
instSetoidFieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
equiv_iff_sub_mem_ideal
equiv_iff_sub_mem_ideal 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
instSetoidFieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
fermionicProjF_mem_fieldOpIdealSet_or_zero 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.fieldOpIdealSet
FieldSpecification.CrAnFieldOp
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.fermionic
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_superCommuteF_ofCrAnOpF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF_of_mem_bosonic
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF_of_mem_fermionic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_fermionic
fermionicProjF_mem_ideal 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.fermionic
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF
bosonicProjF_mem_ideal
ι_eq_zero_iff_mem_ideal
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF_add_fermionicProjF
ofCrAnList_append 📖mathematicalofCrAnList
FieldSpecification.CrAnFieldOp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.fieldOpIdealSet
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_append
ofCrAnList_eq_ι_ofCrAnListF 📖mathematicalofCrAnList
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF
ofCrAnList_singleton 📖mathematicalofCrAnList
FieldSpecification.CrAnFieldOp
ofCrAnOp
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_singleton
ofCrAnOp_eq_ι_ofCrAnOpF 📖mathematicalofCrAnOp
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ofFieldOpList_append 📖mathematicalofFieldOpList
FieldSpecification.FieldOp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpListF_append
ofFieldOpList_cons 📖mathematicalofFieldOpList
FieldSpecification.FieldOp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ofFieldOp
ofFieldOpList_eq_sum 📖mathematicalofFieldOpList
FieldSpecification.CrAnSection
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.CrAnSection.fintype
ofCrAnList
FieldSpecification.FieldOp
FieldSpecification.crAnFieldOpToFieldOp
ofFieldOpList.eq_1
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpListF_sum
ofFieldOpList_eq_ι_ofFieldOpListF 📖mathematicalofFieldOpList
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpListF
ofFieldOpList_singleton 📖mathematicalofFieldOpList
FieldSpecification.FieldOp
ofFieldOp
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpListF_singleton
ofFieldOp_eq_crPart_add_anPart 📖mathematicalofFieldOp
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
crPart
anPart
ofFieldOp.eq_1
crPart.eq_1
anPart.eq_1
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpF_eq_crPartF_add_anPartF
ofFieldOp_eq_sum 📖mathematicalofFieldOp
FieldSpecification.fieldOpToCrAnType
FieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
FieldSpecification.instFintypeFieldOpToCrAnType
ofCrAnOp
FieldSpecification.FieldOp
ofFieldOp.eq_1
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpF.eq_1
ofFieldOp_eq_ι_ofFieldOpF 📖mathematicalofFieldOp
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.ofFieldOpF
ι_apply 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF 📖mathematicalFieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero
FieldSpecification.FieldOpFreeAlgebra.bosonic_superCommuteF
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra
ι_eq_zero_iff_mem_ideal 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
ι_apply
ι_eq_zero_iff_ι_bosonicProjF_fermonicProj_zero 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.bosonic
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF
FieldStatistic.fermionic
FieldSpecification.FieldOpFreeAlgebra.fermionicProjF
ι_eq_zero_iff_mem_ideal
bosonicProjF_mem_ideal
fermionicProjF_mem_ideal
FieldSpecification.FieldOpFreeAlgebra.bosonicProjF_add_fermionicProjF
ι_of_mem_fieldOpIdealSet 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.fieldOpIdealSet
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
ι
ι_apply
ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_bosonic_or_zero 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.bosonic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
FieldSpecification.WickAlgebra
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_ofCrAnListF_ofCrAnListF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_singleton
ι_superCommuteF_zero_of_fermionic
ι_superCommuteF_ofCrAnOpF_ofCrAnOpF_mem_center 📖mathematicalFieldSpecification.WickAlgebra
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_surjective
ι_commute_fieldOpFreeAlgebra_superCommuteF_ofCrAnOpF_ofCrAnOpF
ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_of_mem_fieldOpIdealSet
ι_superCommuteF_of_annihilate_annihilate 📖mathematicalFieldSpecification.crAnFieldOpToCreateAnnihilate
CreateAnnihilate.annihilate
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_of_mem_fieldOpIdealSet
ι_superCommuteF_of_create_create 📖mathematicalFieldSpecification.crAnFieldOpToCreateAnnihilate
CreateAnnihilate.create
FieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_of_mem_fieldOpIdealSet
ι_superCommuteF_of_diff_statistic 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
ι_of_mem_fieldOpIdealSet
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_fieldOpFreeAlgebra 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
FieldSpecification.FieldOpFreeAlgebra.ofListBasis_eq_ofList
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnListF 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_singleton
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_ofCrAnListF_ofCrAnListF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_bosonic_ofCrAnListF_eq_sum
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_fermionic_ofCrAnListF_eq_sum
ι_superCommuteF_superCommuteF_ofCrAnOpF_ofCrAnOpF_ofCrAnOpF 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_singleton
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_ofCrAnListF_ofCrAnListF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.bonsonic_superCommuteF_symm
ι_superCommuteF_ofCrAnOpF_superCommuteF_ofCrAnOpF_ofCrAnOpF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_bosonic_or_fermionic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_bonsonic_symm
FieldSpecification.FieldOpFreeAlgebra.superCommuteF_fermionic_fermionic_symm
ι_superCommuteF_zero_of_fermionic 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.FieldOpFreeAlgebra.statisticSubmodule
FieldStatistic.fermionic
FieldSpecification.FieldOpFreeAlgebra.superCommuteF
FieldSpecification.FieldOpFreeAlgebra.ofCrAnOpF
FieldSpecification.WickAlgebra
FieldSpecification.fieldOpIdealSet
ι
FieldSpecification.FieldOpFreeAlgebra.ofCrAnListF_singleton
FieldSpecification.FieldOpFreeAlgebra.statistic_neq_of_superCommuteF_fermionic
ι_superCommuteF_of_diff_statistic
FieldStatistic.ofList_singleton
ι_surjective 📖mathematicalFieldSpecification.FieldOpFreeAlgebra
FieldSpecification.WickAlgebra
FieldSpecification.CrAnFieldOp
FieldSpecification.fieldOpIdealSet
ι

---

← Back to Index