chore: Update to Lean 4.9-rc1
This commit is contained in:
parent
60f1ebc3eb
commit
b0db05a208
6 changed files with 27 additions and 27 deletions
|
@ -75,7 +75,7 @@ def δa₄ (j : Fin n.succ) : Fin (2 * n.succ + 1) :=
|
|||
Fin.cast (split_adda n) (Fin.natAdd ((1+n)+1) j)
|
||||
|
||||
lemma δa₁_δ₁ : @δa₁ n = δ₁ 0 := by
|
||||
rfl
|
||||
exact Fin.rev_inj.mp rfl
|
||||
|
||||
lemma δa₁_δ!₃ : @δa₁ n = δ!₃ := by
|
||||
rfl
|
||||
|
@ -115,9 +115,9 @@ lemma δ₂_δ!₂ (j : Fin n) : δ₂ j = δ!₂ j := by
|
|||
lemma sum_δ (S : Fin (2 * n + 1) → ℚ) :
|
||||
∑ i, S i = S δ₃ + ∑ i : Fin n, ((S ∘ δ₁) i + (S ∘ δ₂) i) := by
|
||||
have h1 : ∑ i, S i = ∑ i : Fin (n + 1 + n), S (Fin.cast (split_odd n) i) := by
|
||||
rw [Finset.sum_equiv (Fin.castIso (split_odd n)).symm.toEquiv]
|
||||
rw [Finset.sum_equiv (Fin.castOrderIso (split_odd n)).symm.toEquiv]
|
||||
intro i
|
||||
simp only [mem_univ, Fin.symm_castIso, RelIso.coe_fn_toEquiv, Fin.castIso_apply]
|
||||
simp only [mem_univ, Fin.symm_castOrderIso, RelIso.coe_fn_toEquiv]
|
||||
intro i
|
||||
simp
|
||||
rw [h1]
|
||||
|
@ -131,9 +131,9 @@ lemma sum_δ (S : Fin (2 * n + 1) → ℚ) :
|
|||
lemma sum_δ! (S : Fin (2 * n + 1) → ℚ) :
|
||||
∑ i, S i = S δ!₃ + ∑ i : Fin n, ((S ∘ δ!₁) i + (S ∘ δ!₂) i) := by
|
||||
have h1 : ∑ i, S i = ∑ i : Fin ((1+n)+n), S (Fin.cast (split_odd! n) i) := by
|
||||
rw [Finset.sum_equiv (Fin.castIso (split_odd! n)).symm.toEquiv]
|
||||
rw [Finset.sum_equiv (Fin.castOrderIso (split_odd! n)).symm.toEquiv]
|
||||
intro i
|
||||
simp only [mem_univ, Fin.symm_castIso, RelIso.coe_fn_toEquiv, Fin.castIso_apply]
|
||||
simp only [mem_univ, Fin.castOrderIso, RelIso.coe_fn_toEquiv]
|
||||
intro i
|
||||
simp
|
||||
rw [h1]
|
||||
|
|
Loading…
Add table
Add a link
Reference in a new issue