no goals
ι : Type ?u.2444696
α : Type u_1
β : Type ?u.2444702
inst✝¹ : DecidableEq α
inst✝ : Fintype α
f✝ g : Perm α
x✝ y : α
f : Perm α
n : ℕ
x : α
⊢ ↑(f ^ n) x = ↑(f ^ (n % orderOf (cycleOf f x))) x
rw [← cycleOf_pow_apply_self f, ← cycleOf_pow_apply_self f, pow_eq_mod_orderOf]