refactor: Lint

This commit is contained in:
jstoobysmith 2024-12-10 10:14:20 +00:00
parent b98d89fb0d
commit 74a83a621a
3 changed files with 12 additions and 6 deletions

View file

@ -381,7 +381,8 @@ lemma equivCons_trans {n m k : } (e : Fin n ≃ Fin m) (f : Fin m ≃ Fin k)
Fin.equivCons (e.trans f) = (Fin.equivCons e).trans (Fin.equivCons f) := by
refine Equiv.ext_iff.mpr ?_
intro x
simp [Fin.equivCons]
simp only [Nat.succ_eq_add_one, equivCons, Equiv.toFun_as_coe, Equiv.coe_trans,
Equiv.invFun_as_coe, Equiv.coe_fn_mk, Equiv.trans_apply]
match x with
| ⟨0, h⟩ => rfl
| ⟨i + 1, h⟩ => rfl
@ -391,7 +392,9 @@ lemma equivCons_castOrderIso {n m : } (h : n = m) :
(Fin.equivCons (Fin.castOrderIso h).toEquiv) = (Fin.castOrderIso (by simp [h])).toEquiv := by
refine Equiv.ext_iff.mpr ?_
intro x
simp [Fin.equivCons]
simp only [Nat.succ_eq_add_one, equivCons, Equiv.toFun_as_coe, RelIso.coe_fn_toEquiv,
Equiv.invFun_as_coe, OrderIso.toEquiv_symm, Fin.symm_castOrderIso, Equiv.coe_fn_mk,
Fin.castOrderIso_apply]
match x with
| ⟨0, h⟩ => rfl
| ⟨i + 1, h⟩ => rfl
@ -399,7 +402,8 @@ lemma equivCons_castOrderIso {n m : } (h : n = m) :
@[simp]
lemma equivCons_symm_succ {n m : } (e : Fin n ≃ Fin m) (i : ) (hi : i + 1 < m.succ) :
(Fin.equivCons e).symm ⟨i + 1, hi⟩ = (e.symm ⟨i, Nat.succ_lt_succ_iff.mp hi⟩).succ := by
simp [Fin.equivCons]
simp only [Nat.succ_eq_add_one, equivCons, Equiv.toFun_as_coe, Equiv.invFun_as_coe,
Equiv.coe_fn_symm_mk]
have hi : ⟨i + 1, hi⟩ = Fin.succ ⟨i, Nat.succ_lt_succ_iff.mp hi⟩ := by rfl
rw [hi]
rw [Fin.cons_succ]

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@ -80,12 +80,15 @@ lemma insertEquiv_get {α : Type} {r : αα → Prop} [DecidableRel r] (a :
trans (b :: List.orderedInsert r a l).get ∘ Fin.cast (by
rw [List.orderedInsert_length]
simp [List.orderedInsert_length])
· simp
· simp only [List.orderedInsert.eq_2, List.length_cons, Fin.zero_eta, Fin.mk_one]
ext x
match x with
| ⟨0, h⟩ => rfl
| ⟨Nat.succ x, h⟩ =>
simp
simp only [Nat.succ_eq_add_one, Function.comp_apply, Equiv.symm_trans_apply,
Equiv.symm_swap, OrderIso.toEquiv_symm, Fin.symm_castOrderIso, RelIso.coe_fn_toEquiv,
Fin.castOrderIso_apply, Fin.cast_mk, equivCons_symm_succ, List.get_eq_getElem,
List.length_cons, List.getElem_cons_succ]
have hswap (n : Fin (b :: a :: l).length) :
(a :: b :: l).get (Equiv.swap ⟨0, by simp⟩ ⟨1, by simp⟩ n) = (b :: a :: l).get n := by
match n with

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@ -165,7 +165,6 @@ def koszulOrderMonoidAlgebra {I : Type} (r : I → I → Prop) [DecidableRel r]
Finsupp.lift (MonoidAlgebra (FreeMonoid I)) (List I)
(fun i => Finsupp.lsingle (R := ) (List.insertionSort r i) (koszulSign r q i))
@[simp]
lemma koszulOrderMonoidAlgebra_ofList {I : Type} (r : I → I → Prop) [DecidableRel r]
(q : I → Fin 2) (i : List I) :
koszulOrderMonoidAlgebra r q (MonoidAlgebra.of (FreeMonoid I) i) =