def internal_div_le_add_cancel
import bend-mathlib@0.8.1.0/nat.bend as Natimport Base
895def internal_div_le_add_cancel(t: Nat, +x: Nat, +y: Nat) -> {Nat.is_le(x, y) == Nat.is_le(Nat.add(t, x), Nat.add(t, y)) : Bool}:
896 match t:
897 case 0n:
898 {==}
899 case 1n+tp:
900 internal_div_le_add_cancel(tp, x, y)