theorem Array.eq_of_isEqvAux {α : Type u_1} [DecidableEq α] (a : Array α) (b : Array α) (hsz : a.size = b.size) (i : Nat) (hi : i ≤ a.size) (heqv : a.isEqvAux b hsz (fun (x y : α) => decide (x = y)) i = true) (j : Nat) (low : i ≤ j) (high : j < a.size) : a[j] = b[j]

theorem Array.eq_of_isEqv {α : Type u_1} [DecidableEq α] (a : Array α) (b : Array α) : (a.isEqv b fun (x y : α) => decide (x = y)) = true → a = b

theorem Array.isEqvAux_self {α : Type u_1} [DecidableEq α] (a : Array α) (i : Nat) : a.isEqvAux a ⋯ (fun (x y : α) => decide (x = y)) i = true

theorem Array.isEqv_self {α : Type u_1} [DecidableEq α] (a : Array α) : (a.isEqv a fun (x y : α) => decide (x = y)) = true

instance Array.instDecidableEq {α : Type u_1} [DecidableEq α] : DecidableEq (Array α)

Equations

• a.instDecidableEq b = match h : a.isEqv b fun (a b : α) => decide (a = b) with | true => isTrue ⋯ | false => isFalse ⋯