refactor: Rename TensorSpeciesStruct to TensorSpecies

HepLean/Tensors/Tree/NodeIdentities/Basic.lean

@@ -22,7 +22,7 @@ open TensorProduct
 
 namespace TensorTree
 
-variable {S : TensorSpeciesStruct}
+variable {S : TensorSpecies}
 
 /-!
 

HepLean/Tensors/Tree/NodeIdentities/ContrContr.lean

@@ -21,7 +21,7 @@ open HepLean.Fin
 
 namespace TensorTree
 
-variable {S : TensorSpeciesStruct}
+variable {S : TensorSpecies}
 
 /-- A structure containing two pairs of indices (i, j) and (k, l) to be sequentially
   contracted in a tensor. -/
@@ -168,7 +168,7 @@ lemma contrSwapHom_contrMapSnd_tprod (x : (i : (𝟭 Type).obj (OverColor.mk c).
     (x (q.swap.i.succAbove (q.swap.j.succAbove (q.swap.k.succAbove q.swap.l))))))) •
     ((lift.obj S.FDiscrete).map q.contrSwapHom).hom ((PiTensorProduct.tprod S.k) fun k =>
     x (q.swap.i.succAbove (q.swap.j.succAbove (q.swap.k.succAbove (q.swap.l.succAbove k)))))) := by
-  rw [contrMapSnd,TensorSpeciesStruct.contrMap_tprod]
+  rw [contrMapSnd,TensorSpecies.contrMap_tprod]
   change ((lift.obj S.FDiscrete).map q.contrSwapHom).hom
     (_ • ((PiTensorProduct.tprod S.k) fun k =>
         x (q.swap.i.succAbove (q.swap.j.succAbove
@@ -214,7 +214,7 @@ lemma contrMapFst_contrMapSnd_swap :
     (S.F.map q.contrSwapHom).hom
     (q.swap.contrMapSnd.hom ((S.contrMap c q.swap.i q.swap.j _).hom
     ((PiTensorProduct.tprod S.k) x)))
-  rw [TensorSpeciesStruct.contrMap_tprod, TensorSpeciesStruct.contrMap_tprod]
+  rw [TensorSpecies.contrMap_tprod, TensorSpecies.contrMap_tprod]
   simp only [Nat.succ_eq_add_one, Monoidal.tensorUnit_obj, Action.instMonoidalCategory_tensorUnit_V,
     Equivalence.symm_inverse, Action.functorCategoryEquivalence_functor,
     Action.FunctorCategoryEquivalence.functor_obj_obj, Functor.comp_obj, Discrete.functor_obj_eq_as,
@@ -226,7 +226,7 @@ lemma contrMapFst_contrMapSnd_swap :
     ((lift.obj S.FDiscrete).map q.contrSwapHom).hom
       (q.swap.contrMapSnd.hom ((PiTensorProduct.tprod S.k)
       fun k => x (q.swap.i.succAbove (q.swap.j.succAbove k))))
-  rw [contrMapSnd, TensorSpeciesStruct.contrMap_tprod, q.contrSwapHom_contrMapSnd_tprod]
+  rw [contrMapSnd, TensorSpecies.contrMap_tprod, q.contrSwapHom_contrMapSnd_tprod]
   rw [smul_smul, smul_smul]
   congr 1
   /- The contractions. -/

HepLean/Tensors/Tree/NodeIdentities/PermContr.lean

@@ -8,7 +8,7 @@ import HepLean.Tensors.Tree.Basic
 
 # The commutativity of Permutations and contractions.
 
-There is very likely a better way to do this using `TensorSpeciesStruct.contrMap_tprod`.
+There is very likely a better way to do this using `TensorSpecies.contrMap_tprod`.
 
 -/
 
@@ -18,10 +18,10 @@ open MonoidalCategory
 open OverColor
 open HepLean.Fin
 
-namespace TensorSpeciesStruct
+namespace TensorSpecies
 noncomputable section
 
-variable (S : TensorSpeciesStruct)
+variable (S : TensorSpecies)
 
 lemma contrFin1Fin1_naturality {n : ℕ} {c c1 : Fin n.succ.succ → S.C}
     {i : Fin n.succ.succ} {j : Fin n.succ} (h : c1 (i.succAbove j) = S.τ (c1 i))
@@ -236,11 +236,11 @@ lemma contrMap_naturality {n : ℕ} {c c1 : Fin n.succ.succ → S.C}
   rfl
 
 end
-end TensorSpeciesStruct
+end TensorSpecies
 
 namespace TensorTree
 
-variable {S : TensorSpeciesStruct}
+variable {S : TensorSpecies}
 
 /-- Permuting indices, and then contracting is equivalent to contracting and then permuting,
   once care is taking about ensuring one is contracting the same idices. -/

HepLean/Tensors/Tree/NodeIdentities/PermProd.lean

@@ -19,7 +19,7 @@ open HepLean.Fin
 
 namespace TensorTree
 
-variable {S : TensorSpeciesStruct} {n n' n2 : ℕ}
+variable {S : TensorSpecies} {n n' n2 : ℕ}
     {c : Fin n → S.C} {c' : Fin n' → S.C} (c2 : Fin n2 → S.C)
     (σ : OverColor.mk c ⟶ OverColor.mk c')
 

HepLean/Tensors/Tree/NodeIdentities/ProdComm.lean

@@ -19,7 +19,7 @@ open HepLean.Fin
 
 namespace TensorTree
 
-variable {S : TensorSpeciesStruct} {n n2 : ℕ}
+variable {S : TensorSpecies} {n n2 : ℕ}
     (c : Fin n → S.C) (c2 : Fin n2 → S.C)
 
 /-- The permutation that arises when moving a commuting terms in a `prod` node.