refactor: free_simps

This commit is contained in:
jstoobysmith 2024-12-10 14:05:41 +00:00
parent 9d4c21fd6d
commit 0595ceddff
2 changed files with 5 additions and 2 deletions

View file

@ -56,7 +56,9 @@ lemma unitTensor_eq_dual_perm (c : S.C) : {S.unitTensor c | μ ν}ᵀ.tensor =
({S.unitTensor (S.τ c) | ν μ }ᵀ |>
perm (OverColor.equivToHomEq (finMapToEquiv ![1,0] ![1, 0])
(fun x => match x with | 0 => by rfl | 1 => (S.τ_involution c).symm))).tensor := by
simp [unitTensor, tensorNode_tensor, perm_tensor]
simp only [Nat.succ_eq_add_one, Nat.reduceAdd, unitTensor,
Action.instMonoidalCategory_tensorObj_V, Monoidal.tensorUnit_obj,
Action.instMonoidalCategory_tensorUnit_V, tensorNode_tensor, Fin.isValue, perm_tensor]
have h1 := S.unit_symm c
erw [h1]
have hg : (Discrete.pairIsoSep S.FD).hom.hom ∘ₗ (S.FD.obj { as := S.τ c } ◁