refactor: some min imports
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5 changed files with 10 additions and 19 deletions
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@ -4,7 +4,7 @@ Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.PerturbationTheory.FieldSpecification.TimeOrder
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import HepLean.PerturbationTheory.Algebras.FieldOpFreeAlgebra.SuperCommute
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import HepLean.PerturbationTheory.Algebras.FieldOpFreeAlgebra.Basic
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import HepLean.PerturbationTheory.Koszul.KoszulSign
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/-!
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@ -5,7 +5,7 @@ Authors: Joseph Tooby-Smith
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-/
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import Mathlib.Tactic.FinCases
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import Mathlib.CategoryTheory.Comma.Over
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import Mathlib.CategoryTheory.Limits.Shapes.Terminal
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import Mathlib.CategoryTheory.IsomorphismClasses
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import Mathlib.Data.Fintype.Perm
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import Mathlib.Combinatorics.SimpleGraph.Connectivity.WalkCounting
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/-!
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@ -102,18 +102,14 @@ lemma metricTensor_contr_dual_metricTensor_outer_eq_unit (c : S.C) :
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apply perm_congr _ rfl
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apply OverColor.Hom.fin_ext
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intro i
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simp only [Functor.id_obj, mk_hom, Function.comp_apply, Equiv.refl_symm, Equiv.coe_refl, id_eq,
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Fin.zero_eta, Matrix.cons_val_zero, List.pmap.eq_1, ContrPair.contrSwapHom,
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simp only [Function.comp_apply, Equiv.refl_symm, Equiv.coe_refl, id_eq, ContrPair.contrSwapHom,
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extractOne_homToEquiv, Category.assoc, Hom.hom_comp, Over.comp_left, equivToHomEq_hom_left,
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Equiv.toFun_as_coe, types_comp_apply, finMapToEquiv_apply, mkIso_hom_hom_left_apply]
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rw [extractTwo_hom_left_apply]
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simp only [mk_left, braidPerm_toEquiv, Equiv.symm_trans_apply, Equiv.symm_symm,
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Equiv.sumComm_symm, Equiv.sumComm_apply, finExtractOnePerm_symm_apply, Equiv.trans_apply,
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Equiv.symm_apply_apply, Sum.swap_swap, Equiv.apply_symm_apply, finExtractOne_symm_inr_apply,
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Fin.zero_succAbove, List.pmap.eq_2, Fin.mk_one, List.pmap.eq_1, Matrix.cons_val_one,
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Matrix.head_cons, extractTwo_hom_left_apply, permProdRight_toEquiv, equivToHomEq_toEquiv,
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Equiv.sumCongr_refl, Equiv.refl_trans, Equiv.symm_trans_self, Equiv.refl_symm, Equiv.refl_apply,
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predAboveI_succAbove, finExtractOnePerm_apply]
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types_comp_apply, mkIso_hom_hom_left_apply]
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conv_lhs =>
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right
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rw [extractTwo_hom_left_apply]
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simp only [mk_left, braidPerm_toEquiv, permProdRight_toEquiv, equivToHomEq_toEquiv,
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finExtractOnePerm_apply, finExtractOne_symm_inr_apply, extractTwo_hom_left_apply]
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fin_cases i
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· decide
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· decide
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@ -3,7 +3,7 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.Tensors.TensorSpecies.DualRepIso
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import HepLean.Tensors.TensorSpecies.Basic
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/-!
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# Pure tensors
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@ -20,7 +20,6 @@ open MonoidalCategory
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noncomputable section
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namespace TensorSpecies
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open TensorTree
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variable (S : TensorSpecies)
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/-- The type of tensors specified by a map to colors `c : OverColor S.C`. -/
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@ -3,14 +3,10 @@ Copyright (c) 2024 Joseph Tooby-Smith. All rights reserved.
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Released under Apache 2.0 license as described in the file LICENSE.
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Authors: Joseph Tooby-Smith
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-/
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import HepLean.Tensors.Tree.NodeIdentities.ProdComm
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import HepLean.Tensors.Tree.NodeIdentities.PermProd
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import HepLean.Tensors.Tree.NodeIdentities.PermContr
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import HepLean.Tensors.Tree.NodeIdentities.ContrSwap
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import HepLean.Tensors.Tree.NodeIdentities.ProdContr
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import HepLean.Tensors.Tree.NodeIdentities.ContrContr
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import HepLean.Tensors.Tree.NodeIdentities.ProdAssoc
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import HepLean.Tensors.TensorSpecies.Contractions.Categorical
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/-!
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## Specific associativity results for tensor trees
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